G16、G24、G32、G36、G60

news/2024/11/22 12:34:14/

请输入置换次数N：51
请输入置换m：1,3,16,21,36,45,51,2,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37
,38,39,40,41,42,43,44,46,47,48,49,50
置换m^-1：1,8,2,9,10,11,12,13,14,15,16,17,18,19,20,3,21,22,23,24,4,25,26,27,28,29,30,31,32,33,34,35,36,37,38,5,39,40,41,
42,43,44,45,46,6,47,48,49,50,51,7
D:\MathTool\gaptool>Group 32 51 1,8,2,9,10,11,12,13,14,15,16,17,18,19,20,3,21,22,23,24,4,25,26,27,28,29,30,31,32,33,34,35,36,37,38,5,39,40,4
1,42,43,44,45,46,6,47,48,49,50,51,7
GAP[32,1]:
N0C1Nk=1,1,2,4,8,16,[[0,30],[1,2]],[[1,1,1],[2,1,1],[4,1,2],[8,1,4],[16,1,8],[32,1,16]]
S2=0,1,5,22,92,376
kKEZDCANS=32,[32,0,0,0,0,0],32,32,1,1,1,1,1
I1I2=[[1,1,1],[2,1,1],[4,1,2],[8,1,4],[16,1,8]],[[2,1,1],[4,1,5],[8,1,22],[16,1,92]]
Center(GAP[32,1])=GAP[32,1]
DerivedSubgroup(GAP[32,1])=GAP[1,1]
PZ(GAP[32,1])=GAP[1,1]
PD(GAP[32,1])=GAP[32,1]

GAP[32,2]:
N0C1Nk=1,7,24,0,0,0,[[0,24],[1,8]],[[1,1,1],[2,1,7],[4,2,24]]
S2=0,7,81,216,0,192
kKEZDCANS=20,[8,12,0,0,0,0],4,8,2,0,0,1,1
I1I2=[[1,1,1],[2,1,7],[4,1,24]],[[2,1,7],[4,1,60],[4,2,21],[8,2,216]]
Center(GAP[32,2])=GAP[8,5]
DerivedSubgroup(GAP[32,2])=GAP[2,1]
PZ(GAP[32,2])=GAP[4,2]
PD(GAP[32,2])=GAP[16,2]

GAP[32,3]:
N0C1Nk=1,3,12,16,0,0,[[0,28],[1,4]],[[1,1,1],[2,1,3],[4,1,12],[8,1,16]]
S2=0,3,33,124,144,192
kKEZDCANS=32,[32,0,0,0,0,0],8,32,1,0,1,1,1
I1I2=[[1,1,1],[2,1,3],[4,1,12],[8,1,16]],[[2,1,3],[4,1,30],[4,2,3],[8,1,88],[8,2,36],[16,2,48],[16,5,96]]
Center(GAP[32,3])=GAP[32,3]
DerivedSubgroup(GAP[32,3])=GAP[1,1]
PZ(GAP[32,3])=GAP[1,1]
PD(GAP[32,3])=GAP[32,3]

GAP[32,4]:
N0C1Nk=1,3,12,16,0,0,[[0,28],[1,4]],[[1,1,1],[2,1,3],[4,1,4],[4,2,8],[8,2,16]]
S2=0,3,33,124,144,192
kKEZDCANS=20,[8,12,0,0,0,0],8,8,2,0,0,1,1
I1I2=[[1,1,1],[2,1,3],[4,1,12],[8,1,16]],[[2,1,3],[4,1,30],[4,2,3],[8,1,88],[8,2,36],[16,2,48],[16,5,96]]
Center(GAP[32,4])=GAP[8,2]
DerivedSubgroup(GAP[32,4])=GAP[2,1]
PZ(GAP[32,4])=GAP[4,2]
PD(GAP[32,4])=GAP[16,2]

GAP[32,5]:
N0C1Nk=1,7,8,16,0,0,[[0,24],[1,8]],[[1,1,1],[2,1,3],[2,2,4],[4,1,4],[4,2,4],[8,2,16]]
S2=0,7,41,160,96,192
kKEZDCANS=20,[8,12,0,0,0,0],8,8,2,0,0,1,1
I1I2=[[1,1,1],[2,1,7],[4,1,8],[8,1,16]],[[2,1,7],[4,1,20],[4,2,21],[8,1,88],[8,2,72],[16,5,96]]
Center(GAP[32,5])=GAP[8,2]
DerivedSubgroup(GAP[32,5])=GAP[2,1]
PZ(GAP[32,5])=GAP[4,2]
PD(GAP[32,5])=GAP[16,5]

GAP[32,6]:
N0C1Nk=1,11,20,0,0,0,[[0,16],[1,16]],[[1,1,1],[2,1,1],[2,2,6],[2,4,4],[4,4,20]]
S2=0,11,89,108,96,192
kKEZDCANS=11,[2,3,6,0,0,0],4,2,4,0,0,1,1
I1I2=[[1,1,1],[2,1,11],[4,1,20]],[[2,1,11],[4,1,50],[4,2,39],[8,2,60],[8,3,48],[16,3,96]]
Center(GAP[32,6])=GAP[2,1]
DerivedSubgroup(GAP[32,6])=GAP[4,2]
PZ(GAP[32,6])=GAP[16,3]
PD(GAP[32,6])=GAP[8,2]

GAP[32,7]:
N0C1Nk=1,11,4,16,0,0,[[0,16],[1,16]],[[1,1,1],[2,1,1],[2,2,2],[2,4,8],[4,2,4],[8,4,16]]
S2=0,11,49,148,96,192
kKEZDCANS=11,[2,3,6,0,0,0],8,2,4,0,0,1,1
I1I2=[[1,1,1],[2,1,11],[4,1,4],[8,1,16]],[[2,1,11],[4,1,10],[4,2,39],[8,1,88],[8,2,12],[8,3,48],[16,6,96]]
Center(GAP[32,7])=GAP[2,1]
DerivedSubgroup(GAP[32,7])=GAP[4,2]
PZ(GAP[32,7])=GAP[16,3]
PD(GAP[32,7])=GAP[8,2]

GAP[32,8]:
N0C1Nk=1,3,12,16,0,0,[[0,16],[1,16]],[[1,1,1],[2,1,1],[2,2,2],[4,2,4],[4,4,8],[8,4,16]]
S2=0,3,33,172,96,192
kKEZDCANS=11,[2,3,6,0,0,0],8,2,4,0,0,1,1
I1I2=[[1,1,1],[2,1,3],[4,1,12],[8,1,16]],[[2,1,3],[4,1,30],[4,2,3],[8,1,88],[8,2,36],[8,4,48],[16,6,96]]
Center(GAP[32,8])=GAP[2,1]
DerivedSubgroup(GAP[32,8])=GAP[4,2]
PZ(GAP[32,8])=GAP[16,3]
PD(GAP[32,8])=GAP[8,2]

GAP[32,9]:
N0C1Nk=1,11,12,8,0,0,[[0,16],[1,16]],[[1,1,1],[2,1,3],[2,4,8],[4,2,4],[4,4,8],[8,2,8]]
S2=0,11,69,128,96,192
kKEZDCANS=14,[4,6,4,0,0,0],8,4,4,0,0,1,1
I1I2=[[1,1,1],[2,1,11],[4,1,12],[8,1,8]],[[2,1,11],[4,1,30],[4,2,39],[8,1,44],[8,2,36],[8,3,48],[16,4,48],[16,5,48]]
Center(GAP[32,9])=GAP[4,2]
DerivedSubgroup(GAP[32,9])=GAP[4,1]
PZ(GAP[32,9])=GAP[8,3]
PD(GAP[32,9])=GAP[8,2]

GAP[32,10]:
N0C1Nk=1,3,20,8,0,0,[[0,16],[1,16]],[[1,1,1],[2,1,3],[4,2,4],[4,4,16],[8,2,8]]
S2=0,3,53,152,96,192
kKEZDCANS=14,[4,6,4,0,0,0],8,4,4,0,0,1,1
I1I2=[[1,1,1],[2,1,3],[4,1,20],[8,1,8]],[[2,1,3],[4,1,50],[4,2,3],[8,1,44],[8,2,60],[8,4,48],[16,4,48],[16,5,48]]
Center(GAP[32,10])=GAP[4,2]
DerivedSubgroup(GAP[32,10])=GAP[4,1]
PZ(GAP[32,10])=GAP[8,3]
PD(GAP[32,10])=GAP[8,2]

GAP[32,11]:
N0C1Nk=1,7,16,8,0,0,[[0,18],[1,14]],[[1,1,1],[2,1,1],[2,2,2],[2,4,4],[4,1,2],[4,2,10],[4,4,4],[8,4,8]]
S2=0,7,49,152,96,192
kKEZDCANS=14,[4,6,4,0,0,0],8,4,4,0,0,1,1
I1I2=[[1,1,1],[2,1,7],[4,1,16],[8,1,8]],[[2,1,7],[4,1,40],[4,2,9],[8,1,44],[8,2,60],[8,3,36],[8,4,12],[16,2,48],[16,6,48]]
Center(GAP[32,11])=GAP[4,1]
DerivedSubgroup(GAP[32,11])=GAP[4,1]
PZ(GAP[32,11])=GAP[8,3]
PD(GAP[32,11])=GAP[8,2]

GAP[32,12]:
N0C1Nk=1,3,12,16,0,0,[[0,24],[1,8]],[[1,1,1],[2,1,3],[4,1,4],[4,2,8],[8,2,16]]
S2=0,3,33,124,144,192
kKEZDCANS=20,[8,12,0,0,0,0],8,8,2,0,0,1,1
I1I2=[[1,1,1],[2,1,3],[4,1,12],[8,1,16]],[[2,1,3],[4,1,30],[4,2,3],[8,1,88],[8,2,36],[16,2,48],[16,5,96]]
Center(GAP[32,12])=GAP[8,2]
DerivedSubgroup(GAP[32,12])=GAP[2,1]
PZ(GAP[32,12])=GAP[4,2]
PD(GAP[32,12])=GAP[16,5]

GAP[32,13]:
N0C1Nk=1,3,20,8,0,0,[[0,16],[1,16]],[[1,1,1],[2,1,3],[4,2,4],[4,4,16],[8,2,8]]
S2=0,3,53,104,144,192
kKEZDCANS=14,[4,6,4,0,0,0],8,4,4,0,0,1,1
I1I2=[[1,1,1],[2,1,3],[4,1,20],[8,1,8]],[[2,1,3],[4,1,50],[4,2,3],[8,1,44],[8,2,60],[16,4,96],[16,5,48]]
Center(GAP[32,13])=GAP[4,2]
DerivedSubgroup(GAP[32,13])=GAP[4,1]
PZ(GAP[32,13])=GAP[8,3]
PD(GAP[32,13])=GAP[8,2]

GAP[32,14]:
N0C1Nk=1,3,20,8,0,0,[[0,24],[1,8]],[[1,1,1],[2,1,3],[4,2,4],[4,4,16],[8,2,8]]
S2=0,3,53,104,144,192
kKEZDCANS=14,[4,6,4,0,0,0],8,4,4,0,0,1,1
I1I2=[[1,1,1],[2,1,3],[4,1,20],[8,1,8]],[[2,1,3],[4,1,50],[4,2,3],[8,1,44],[8,2,60],[16,4,96],[16,5,48]]
Center(GAP[32,14])=GAP[4,2]
DerivedSubgroup(GAP[32,14])=GAP[4,1]
PZ(GAP[32,14])=GAP[8,3]
PD(GAP[32,14])=GAP[8,2]

GAP[32,15]:
N0C1Nk=1,3,4,24,0,0,[[0,22],[1,10]],[[1,1,1],[2,1,1],[2,2,2],[4,1,2],[4,2,2],[8,2,8],[8,4,16]]
S2=0,3,13,144,144,192
kKEZDCANS=14,[4,6,4,0,0,0],8,4,4,0,0,1,1
I1I2=[[1,1,1],[2,1,3],[4,1,4],[8,1,24]],[[2,1,3],[4,1,10],[4,2,3],[8,1,132],[8,2,12],[16,5,48],[16,6,96]]
Center(GAP[32,15])=GAP[4,1]
DerivedSubgroup(GAP[32,15])=GAP[4,1]
PZ(GAP[32,15])=GAP[8,3]
PD(GAP[32,15])=GAP[8,2]

GAP[32,16]:
N0C1Nk=1,3,4,8,16,0,[[0,28],[1,4]],[[1,1,1],[2,1,3],[4,1,4],[8,1,8],[16,1,16]]
S2=0,3,13,56,232,192
kKEZDCANS=32,[32,0,0,0,0,0],16,32,1,0,1,1,1
I1I2=[[1,1,1],[2,1,3],[4,1,4],[8,1,8],[16,1,16]],[[2,1,3],[4,1,10],[4,2,3],[8,1,44],[8,2,12],[16,1,184],[16,5,48]]
Center(GAP[32,16])=GAP[32,16]
DerivedSubgroup(GAP[32,16])=GAP[1,1]
PZ(GAP[32,16])=GAP[1,1]
PD(GAP[32,16])=GAP[32,16]

GAP[32,17]:
N0C1Nk=1,3,4,8,16,0,[[0,26],[1,6]],[[1,1,1],[2,1,1],[2,2,2],[4,1,2],[4,2,2],[8,1,4],[8,2,4],[16,2,16]]
S2=0,3,13,56,232,192
kKEZDCANS=20,[8,12,0,0,0,0],16,8,2,0,0,1,1
I1I2=[[1,1,1],[2,1,3],[4,1,4],[8,1,8],[16,1,16]],[[2,1,3],[4,1,10],[4,2,3],[8,1,44],[8,2,12],[16,1,184],[16,5,48]]
Center(GAP[32,17])=GAP[8,1]
DerivedSubgroup(GAP[32,17])=GAP[2,1]
PZ(GAP[32,17])=GAP[4,2]
PD(GAP[32,17])=GAP[16,5]

GAP[32,18]:
N0C1Nk=1,17,2,4,8,0,[[0,12],[1,20]],[[1,1,1],[2,1,1],[2,8,16],[4,2,2],[8,2,4],[16,2,8]]
S2=0,17,29,70,188,192
kKEZDCANS=11,[2,7,0,2,0,0],16,2,8,0,0,1,1
I1I2=[[1,1,1],[2,1,17],[4,1,2],[8,1,4],[16,1,8]],[[2,1,17],[4,1,5],[4,2,24],[8,1,22],[8,3,48],[16,1,92],[16,7,96]]
Center(GAP[32,18])=GAP[2,1]
DerivedSubgroup(GAP[32,18])=GAP[8,1]
PZ(GAP[32,18])=GAP[16,7]
PD(GAP[32,18])=GAP[4,2]

GAP[32,19]:
N0C1Nk=1,9,10,4,8,0,[[0,12],[1,20]],[[1,1,1],[2,1,1],[2,8,8],[4,2,2],[4,8,8],[8,2,4],[16,2,8]]
S2=0,9,37,70,188,192
kKEZDCANS=11,[2,7,0,2,0,0],16,2,8,0,0,1,1
I1I2=[[1,1,1],[2,1,9],[4,1,10],[8,1,4],[16,1,8]],[[2,1,9],[4,1,25],[4,2,12],[8,1,22],[8,3,24],[8,4,24],[16,1,92],[16,7,48],[16,9,48]]
Center(GAP[32,19])=GAP[2,1]
DerivedSubgroup(GAP[32,19])=GAP[8,1]
PZ(GAP[32,19])=GAP[16,7]
PD(GAP[32,19])=GAP[4,2]

GAP[32,20]:
N0C1Nk=1,1,18,4,8,0,[[0,12],[1,20]],[[1,1,1],[2,1,1],[4,2,2],[4,8,16],[8,2,4],[16,2,8]]
S2=0,1,45,70,188,192
kKEZDCANS=11,[2,7,0,2,0,0],16,2,8,0,0,1,1
I1I2=[[1,1,1],[2,1,1],[4,1,18],[8,1,4],[16,1,8]],[[2,1,1],[4,1,45],[8,1,22],[8,4,48],[16,1,92],[16,9,96]]
Center(GAP[32,20])=GAP[2,1]
DerivedSubgroup(GAP[32,20])=GAP[8,1]
PZ(GAP[32,20])=GAP[16,7]
PD(GAP[32,20])=GAP[4,2]

GAP[32,21]:
N0C1Nk=1,7,24,0,0,0,[[0,24],[1,8]],[[1,1,1],[2,1,7],[4,1,24]]
S2=0,7,81,216,192,0
kKEZDCANS=32,[32,0,0,0,0,0],4,32,1,0,1,1,1
I1I2=[[1,1,1],[2,1,7],[4,1,24]],[[2,1,7],[4,1,60],[4,2,21],[8,2,216],[16,2,192]]
Center(GAP[32,21])=GAP[32,21]
DerivedSubgroup(GAP[32,21])=GAP[1,1]
PZ(GAP[32,21])=GAP[1,1]
PD(GAP[32,21])=GAP[32,21]

GAP[32,22]:
N0C1Nk=1,15,16,0,0,0,[[0,16],[1,16]],[[1,1,1],[2,1,7],[2,2,8],[4,2,16]]
S2=0,15,145,144,192,0
kKEZDCANS=20,[8,12,0,0,0,0],4,8,2,0,0,1,1
I1I2=[[1,1,1],[2,1,15],[4,1,16]],[[2,1,15],[4,1,40],[4,2,105],[8,2,144],[16,3,192]]
Center(GAP[32,22])=GAP[8,5]
DerivedSubgroup(GAP[32,22])=GAP[2,1]
PZ(GAP[32,22])=GAP[4,2]
PD(GAP[32,22])=GAP[16,10]

GAP[32,23]:
N0C1Nk=1,7,24,0,0,0,[[0,16],[1,16]],[[1,1,1],[2,1,7],[4,2,24]]
S2=0,7,81,216,192,0
kKEZDCANS=20,[8,12,0,0,0,0],4,8,2,0,0,1,1
I1I2=[[1,1,1],[2,1,7],[4,1,24]],[[2,1,7],[4,1,60],[4,2,21],[8,2,216],[16,4,192]]
Center(GAP[32,23])=GAP[8,5]
DerivedSubgroup(GAP[32,23])=GAP[2,1]
PZ(GAP[32,23])=GAP[4,2]
PD(GAP[32,23])=GAP[16,10]

GAP[32,24]:
N0C1Nk=1,7,24,0,0,0,[[0,20],[1,12]],[[1,1,1],[2,1,3],[2,2,4],[4,1,4],[4,2,20]]
S2=0,7,81,120,288,0
kKEZDCANS=20,[8,12,0,0,0,0],4,8,2,0,0,1,1
I1I2=[[1,1,1],[2,1,7],[4,1,24]],[[2,1,7],[4,1,60],[4,2,21],[8,2,120],[16,2,96],[16,3,96],[16,4,96]]
Center(GAP[32,24])=GAP[8,2]
DerivedSubgroup(GAP[32,24])=GAP[2,1]
PZ(GAP[32,24])=GAP[4,2]
PD(GAP[32,24])=GAP[16,10]

GAP[32,25]:
N0C1Nk=1,11,20,0,0,0,[[0,16],[1,16]],[[1,1,1],[2,1,3],[2,2,8],[4,1,4],[4,2,16]]
S2=0,11,89,204,192,0
kKEZDCANS=20,[8,12,0,0,0,0],4,8,2,0,0,1,1
I1I2=[[1,1,1],[2,1,11],[4,1,20]],[[2,1,11],[4,1,50],[4,2,39],[8,2,156],[8,3,48],[16,2,48],[16,3,96],[16,4,48]]
Center(GAP[32,25])=GAP[8,2]
DerivedSubgroup(GAP[32,25])=GAP[2,1]
PZ(GAP[32,25])=GAP[4,2]
PD(GAP[32,25])=GAP[16,10]

GAP[32,26]:
N0C1Nk=1,3,28,0,0,0,[[0,16],[1,16]],[[1,1,1],[2,1,3],[4,1,4],[4,2,24]]
S2=0,3,73,132,288,0
kKEZDCANS=20,[8,12,0,0,0,0],4,8,2,0,0,1,1
I1I2=[[1,1,1],[2,1,3],[4,1,28]],[[2,1,3],[4,1,70],[4,2,3],[8,2,84],[8,4,48],[16,2,144],[16,4,144]]
Center(GAP[32,26])=GAP[8,2]
DerivedSubgroup(GAP[32,26])=GAP[2,1]
PZ(GAP[32,26])=GAP[4,2]
PD(GAP[32,26])=GAP[16,10]

GAP[32,27]:
N0C1Nk=1,19,12,0,0,0,[[1,32]],[[1,1,1],[2,1,3],[2,2,12],[2,4,4],[4,4,12]]
S2=0,19,153,180,144,0
kKEZDCANS=14,[4,6,4,0,0,0],4,4,4,0,0,1,1
I1I2=[[1,1,1],[2,1,19],[4,1,12]],[[2,1,19],[4,1,30],[4,2,123],[8,2,36],[8,3,144],[16,3,144]]
Center(GAP[32,27])=GAP[4,2]
DerivedSubgroup(GAP[32,27])=GAP[4,2]
PZ(GAP[32,27])=GAP[8,5]
PD(GAP[32,27])=GAP[8,5]

GAP[32,28]:
N0C1Nk=1,15,16,0,0,0,[[0,4],[1,28]],[[1,1,1],[2,1,3],[2,2,4],[2,4,8],[4,2,8],[4,4,8]]
S2=0,15,97,240,144,0
kKEZDCANS=14,[4,6,4,0,0,0],4,4,4,0,0,1,1
I1I2=[[1,1,1],[2,1,15],[4,1,16]],[[2,1,15],[4,1,40],[4,2,57],[8,2,96],[8,3,144],[16,3,96],[16,4,48]]
Center(GAP[32,28])=GAP[4,2]
DerivedSubgroup(GAP[32,28])=GAP[4,2]
PZ(GAP[32,28])=GAP[8,5]
PD(GAP[32,28])=GAP[8,5]

GAP[32,29]:
N0C1Nk=1,7,24,0,0,0,[[0,4],[1,28]],[[1,1,1],[2,1,3],[2,2,4],[4,2,8],[4,4,16]]
S2=0,7,81,168,240,0
kKEZDCANS=14,[4,6,4,0,0,0],4,4,4,0,0,1,1
I1I2=[[1,1,1],[2,1,7],[4,1,24]],[[2,1,7],[4,1,60],[4,2,21],[8,2,120],[8,4,48],[16,3,96],[16,4,144]]
Center(GAP[32,29])=GAP[4,2]
DerivedSubgroup(GAP[32,29])=GAP[4,2]
PZ(GAP[32,29])=GAP[8,5]
PD(GAP[32,29])=GAP[8,5]

GAP[32,30]:
N0C1Nk=1,11,20,0,0,0,[[0,8],[1,24]],[[1,1,1],[2,1,3],[2,2,4],[2,4,4],[4,2,8],[4,4,12]]
S2=0,11,89,156,240,0
kKEZDCANS=14,[4,6,4,0,0,0],4,4,4,0,0,1,1
I1I2=[[1,1,1],[2,1,11],[4,1,20]],[[2,1,11],[4,1,50],[4,2,39],[8,2,108],[8,3,48],[16,3,144],[16,4,96]]
Center(GAP[32,30])=GAP[4,2]
DerivedSubgroup(GAP[32,30])=GAP[4,2]
PZ(GAP[32,30])=GAP[8,5]
PD(GAP[32,30])=GAP[8,5]

GAP[32,31]:
N0C1Nk=1,11,20,0,0,0,[[0,8],[1,24]],[[1,1,1],[2,1,3],[2,4,8],[4,2,12],[4,4,8]]
S2=0,11,89,156,240,0
kKEZDCANS=14,[4,6,4,0,0,0],4,4,4,0,0,1,1
I1I2=[[1,1,1],[2,1,11],[4,1,20]],[[2,1,11],[4,1,50],[4,2,39],[8,2,60],[8,3,48],[8,4,48],[16,2,48],[16,3,192]]
Center(GAP[32,31])=GAP[4,2]
DerivedSubgroup(GAP[32,31])=GAP[4,2]
PZ(GAP[32,31])=GAP[8,5]
PD(GAP[32,31])=GAP[8,5]

GAP[32,32]:
N0C1Nk=1,3,28,0,0,0,[[0,8],[1,24]],[[1,1,1],[2,1,3],[4,2,12],[4,4,16]]
S2=0,3,73,84,336,0
kKEZDCANS=14,[4,6,4,0,0,0],4,4,4,0,0,1,1
I1I2=[[1,1,1],[2,1,3],[4,1,28]],[[2,1,3],[4,1,70],[4,2,3],[8,2,84],[16,2,48],[16,4,288]]
Center(GAP[32,32])=GAP[4,2]
DerivedSubgroup(GAP[32,32])=GAP[4,2]
PZ(GAP[32,32])=GAP[8,5]
PD(GAP[32,32])=GAP[8,5]

GAP[32,33]:
N0C1Nk=1,7,24,0,0,0,[[0,12],[1,20]],[[1,1,1],[2,1,3],[2,4,4],[4,2,12],[4,4,12]]
S2=0,7,81,72,336,0
kKEZDCANS=14,[4,6,4,0,0,0],4,4,4,0,0,1,1
I1I2=[[1,1,1],[2,1,7],[4,1,24]],[[2,1,7],[4,1,60],[4,2,21],[8,2,72],[16,2,48],[16,3,144],[16,4,144]]
Center(GAP[32,33])=GAP[4,2]
DerivedSubgroup(GAP[32,33])=GAP[4,2]
PZ(GAP[32,33])=GAP[8,5]
PD(GAP[32,33])=GAP[8,5]

GAP[32,34]:
N0C1Nk=1,19,12,0,0,0,[[1,32]],[[1,1,1],[2,1,3],[2,4,16],[4,2,12]]
S2=0,19,105,324,48,0
kKEZDCANS=14,[4,6,4,0,0,0],4,4,4,0,0,1,1
I1I2=[[1,1,1],[2,1,19],[4,1,12]],[[2,1,19],[4,1,30],[4,2,75],[8,2,36],[8,3,288],[16,2,48]]
Center(GAP[32,34])=GAP[4,2]
DerivedSubgroup(GAP[32,34])=GAP[4,2]
PZ(GAP[32,34])=GAP[8,5]
PD(GAP[32,34])=GAP[8,5]

GAP[32,35]:
N0C1Nk=1,3,28,0,0,0,[[1,32]],[[1,1,1],[2,1,3],[4,2,12],[4,4,16]]
S2=0,3,73,180,240,0
kKEZDCANS=14,[4,6,4,0,0,0],4,4,4,0,0,1,1
I1I2=[[1,1,1],[2,1,3],[4,1,28]],[[2,1,3],[4,1,70],[4,2,3],[8,2,84],[8,4,96],[16,2,48],[16,4,192]]
Center(GAP[32,35])=GAP[4,2]
DerivedSubgroup(GAP[32,35])=GAP[4,2]
PZ(GAP[32,35])=GAP[8,5]
PD(GAP[32,35])=GAP[8,5]

GAP[32,36]:
N0C1Nk=1,7,8,16,0,0,[[0,24],[1,8]],[[1,1,1],[2,1,7],[4,1,8],[8,1,16]]
S2=0,7,41,160,288,0
kKEZDCANS=32,[32,0,0,0,0,0],8,32,1,0,1,1,1
I1I2=[[1,1,1],[2,1,7],[4,1,8],[8,1,16]],[[2,1,7],[4,1,20],[4,2,21],[8,1,88],[8,2,72],[16,5,288]]
Center(GAP[32,36])=GAP[32,36]
DerivedSubgroup(GAP[32,36])=GAP[1,1]
PZ(GAP[32,36])=GAP[1,1]
PD(GAP[32,36])=GAP[32,36]

GAP[32,37]:
N0C1Nk=1,7,8,16,0,0,[[0,20],[1,12]],[[1,1,1],[2,1,3],[2,2,4],[4,1,4],[4,2,4],[8,2,16]]
S2=0,7,41,160,288,0
kKEZDCANS=20,[8,12,0,0,0,0],8,8,2,0,0,1,1
I1I2=[[1,1,1],[2,1,7],[4,1,8],[8,1,16]],[[2,1,7],[4,1,20],[4,2,21],[8,1,88],[8,2,72],[16,5,96],[16,6,192]]
Center(GAP[32,37])=GAP[8,2]
DerivedSubgroup(GAP[32,37])=GAP[2,1]
PZ(GAP[32,37])=GAP[4,2]
PD(GAP[32,37])=GAP[16,10]

GAP[32,38]:
N0C1Nk=1,7,8,16,0,0,[[0,18],[1,14]],[[1,1,1],[2,1,1],[2,2,6],[4,1,2],[4,2,6],[8,1,4],[8,2,12]]
S2=0,7,29,172,288,0
kKEZDCANS=20,[8,12,0,0,0,0],8,8,2,0,0,1,1
I1I2=[[1,1,1],[2,1,7],[4,1,8],[8,1,16]],[[2,1,7],[4,1,20],[4,2,9],[8,1,88],[8,2,36],[8,3,36],[8,4,12],[16,5,144],[16,6,144]]
Center(GAP[32,38])=GAP[8,1]
DerivedSubgroup(GAP[32,38])=GAP[2,1]
PZ(GAP[32,38])=GAP[4,2]
PD(GAP[32,38])=GAP[16,10]

GAP[32,39]:
N0C1Nk=1,19,4,8,0,0,[[0,8],[1,24]],[[1,1,1],[2,1,3],[2,4,16],[4,2,4],[8,2,8]]
S2=0,19,85,152,240,0
kKEZDCANS=14,[4,6,4,0,0,0],8,4,4,0,0,1,1
I1I2=[[1,1,1],[2,1,19],[4,1,4],[8,1,8]],[[2,1,19],[4,1,10],[4,2,75],[8,1,44],[8,2,12],[8,3,96],[16,5,48],[16,7,192]]
Center(GAP[32,39])=GAP[4,2]
DerivedSubgroup(GAP[32,39])=GAP[4,1]
PZ(GAP[32,39])=GAP[8,3]
PD(GAP[32,39])=GAP[8,5]

GAP[32,40]:
N0C1Nk=1,11,12,8,0,0,[[1,32]],[[1,1,1],[2,1,3],[2,4,8],[4,2,4],[4,4,8],[8,2,8]]
S2=0,11,69,176,240,0
kKEZDCANS=14,[4,6,4,0,0,0],8,4,4,0,0,1,1
I1I2=[[1,1,1],[2,1,11],[4,1,12],[8,1,8]],[[2,1,11],[4,1,30],[4,2,39],[8,1,44],[8,2,36],[8,3,48],[8,4,48],[16,5,48],[16,8,192]]
Center(GAP[32,40])=GAP[4,2]
DerivedSubgroup(GAP[32,40])=GAP[4,1]
PZ(GAP[32,40])=GAP[8,3]
PD(GAP[32,40])=GAP[8,5]

GAP[32,41]:
N0C1Nk=1,3,20,8,0,0,[[0,8],[1,24]],[[1,1,1],[2,1,3],[4,2,4],[4,4,16],[8,2,8]]
S2=0,3,53,200,240,0
kKEZDCANS=14,[4,6,4,0,0,0],8,4,4,0,0,1,1
I1I2=[[1,1,1],[2,1,3],[4,1,20],[8,1,8]],[[2,1,3],[4,1,50],[4,2,3],[8,1,44],[8,2,60],[8,4,96],[16,5,48],[16,9,192]]
Center(GAP[32,41])=GAP[4,2]
DerivedSubgroup(GAP[32,41])=GAP[4,1]
PZ(GAP[32,41])=GAP[8,3]
PD(GAP[32,41])=GAP[8,5]

GAP[32,42]:
N0C1Nk=1,11,12,8,0,0,[[0,6],[1,26]],[[1,1,1],[2,1,1],[2,2,2],[2,4,8],[4,1,2],[4,2,2],[4,4,8],[8,2,8]]
S2=0,11,45,200,240,0
kKEZDCANS=14,[4,6,4,0,0,0],8,4,4,0,0,1,1
I1I2=[[1,1,1],[2,1,11],[4,1,12],[8,1,8]],[[2,1,11],[4,1,30],[4,2,15],[8,1,44],[8,2,60],[8,3,72],[8,4,24],[16,5,48],[16,7,48],[16,8,96],[16,9
,48]]
Center(GAP[32,42])=GAP[4,1]
DerivedSubgroup(GAP[32,42])=GAP[4,1]
PZ(GAP[32,42])=GAP[8,3]
PD(GAP[32,42])=GAP[8,5]

GAP[32,43]:
N0C1Nk=1,15,8,8,0,0,[[1,32]],[[1,1,1],[2,1,1],[2,2,2],[2,4,12],[4,2,4],[4,4,4],[8,4,8]]
S2=0,15,65,176,240,0
kKEZDCANS=11,[2,3,6,0,0,0],8,2,4,0,0,1,1
I1I2=[[1,1,1],[2,1,15],[4,1,8],[8,1,8]],[[2,1,15],[4,1,20],[4,2,45],[8,1,44],[8,2,36],[8,3,84],[8,4,12],[16,6,48],[16,7,96],[16,8,96]]
Center(GAP[32,43])=GAP[2,1]
DerivedSubgroup(GAP[32,43])=GAP[4,1]
PZ(GAP[32,43])=GAP[16,11]
PD(GAP[32,43])=GAP[8,5]

GAP[32,44]:
N0C1Nk=1,7,16,8,0,0,[[1,32]],[[1,1,1],[2,1,1],[2,2,2],[2,4,4],[4,2,4],[4,4,12],[8,4,8]]
S2=0,7,49,200,240,0
kKEZDCANS=11,[2,3,6,0,0,0],8,2,4,0,0,1,1
I1I2=[[1,1,1],[2,1,7],[4,1,16],[8,1,8]],[[2,1,7],[4,1,40],[4,2,9],[8,1,44],[8,2,60],[8,3,36],[8,4,60],[16,6,48],[16,8,96],[16,9,96]]
Center(GAP[32,44])=GAP[2,1]
DerivedSubgroup(GAP[32,44])=GAP[4,1]
PZ(GAP[32,44])=GAP[16,11]
PD(GAP[32,44])=GAP[8,5]

GAP[32,45]:
N0C1Nk=1,15,16,0,0,0,[[0,16],[1,16]],[[1,1,1],[2,1,15],[4,1,16]]
S2=0,15,145,336,0,0
kKEZDCANS=32,[32,0,0,0,0,0],4,32,1,0,1,1,1
I1I2=[[1,1,1],[2,1,15],[4,1,16]],[[2,1,15],[4,1,40],[4,2,105],[8,2,336]]
Center(GAP[32,45])=GAP[32,45]
DerivedSubgroup(GAP[32,45])=GAP[1,1]
PZ(GAP[32,45])=GAP[1,1]
PD(GAP[32,45])=GAP[32,45]

GAP[32,46]:
N0C1Nk=1,23,8,0,0,0,[[1,32]],[[1,1,1],[2,1,7],[2,2,16],[4,2,8]]
S2=0,23,209,264,0,0
kKEZDCANS=20,[8,12,0,0,0,0],4,8,2,0,0,1,1
I1I2=[[1,1,1],[2,1,23],[4,1,8]],[[2,1,23],[4,1,20],[4,2,189],[8,2,72],[8,3,192]]
Center(GAP[32,46])=GAP[8,5]
DerivedSubgroup(GAP[32,46])=GAP[2,1]
PZ(GAP[32,46])=GAP[4,2]
PD(GAP[32,46])=GAP[16,14]

GAP[32,47]:
N0C1Nk=1,7,24,0,0,0,[[1,32]],[[1,1,1],[2,1,7],[4,2,24]]
S2=0,7,81,408,0,0
kKEZDCANS=20,[8,12,0,0,0,0],4,8,2,0,0,1,1
I1I2=[[1,1,1],[2,1,7],[4,1,24]],[[2,1,7],[4,1,60],[4,2,21],[8,2,216],[8,4,192]]
Center(GAP[32,47])=GAP[8,5]
DerivedSubgroup(GAP[32,47])=GAP[2,1]
PZ(GAP[32,47])=GAP[4,2]
PD(GAP[32,47])=GAP[16,14]

GAP[32,48]:
N0C1Nk=1,15,16,0,0,0,[[0,4],[1,28]],[[1,1,1],[2,1,3],[2,2,12],[4,1,4],[4,2,12]]
S2=0,15,97,384,0,0
kKEZDCANS=20,[8,12,0,0,0,0],4,8,2,0,0,1,1
I1I2=[[1,1,1],[2,1,15],[4,1,16]],[[2,1,15],[4,1,40],[4,2,57],[8,2,192],[8,3,144],[8,4,48]]
Center(GAP[32,48])=GAP[8,2]
DerivedSubgroup(GAP[32,48])=GAP[2,1]
PZ(GAP[32,48])=GAP[4,2]
PD(GAP[32,48])=GAP[16,14]

GAP[32,49]:
N0C1Nk=1,19,12,0,0,0,[[1,32]],[[1,1,1],[2,1,1],[2,2,18],[4,2,12]]
S2=0,19,129,348,0,0
kKEZDCANS=17,[2,15,0,0,0,0],4,2,2,0,0,1,1
I1I2=[[1,1,1],[2,1,19],[4,1,12]],[[2,1,19],[4,1,30],[4,2,99],[8,2,108],[8,3,216],[8,4,24]]
Center(GAP[32,49])=GAP[2,1]
DerivedSubgroup(GAP[32,49])=GAP[2,1]
PZ(GAP[32,49])=GAP[16,14]
PD(GAP[32,49])=GAP[16,14]

GAP[32,50]:
N0C1Nk=1,11,20,0,0,0,[[1,32]],[[1,1,1],[2,1,1],[2,2,10],[4,2,20]]
S2=0,11,65,420,0,0
kKEZDCANS=17,[2,15,0,0,0,0],4,2,2,0,0,1,1
I1I2=[[1,1,1],[2,1,11],[4,1,20]],[[2,1,11],[4,1,50],[4,2,15],[8,2,180],[8,3,120],[8,4,120]]
Center(GAP[32,50])=GAP[2,1]
DerivedSubgroup(GAP[32,50])=GAP[2,1]
PZ(GAP[32,50])=GAP[16,14]
PD(GAP[32,50])=GAP[16,14]

GAP[32,51]:
N0C1Nk=1,31,0,0,0,0,[[1,32]],[[1,1,1],[2,1,31]]
S2=0,31,465,0,0,0
kKEZDCANS=32,[32,0,0,0,0,0],2,32,1,0,1,1,1
I1I2=[[1,1,1],[2,1,31]],[[2,1,31],[4,2,465]]
Center(GAP[32,51])=GAP[32,51]
DerivedSubgroup(GAP[32,51])=GAP[1,1]
PZ(GAP[32,51])=GAP[1,1]
PD(GAP[32,51])=GAP[32,51]

D:\MathTool\gaptool>Group 36 14
GAP[36,1]:
N0=1,1,2,18,2,6,0,6,0
S2=0,1,3,45,11,33,108,105,324
kKEZDCANS=12,[2,8,0,0,0,2,0,0,0],36,2,9,0,0,0,1
I1I2=[[1,1,1],[2,1,1],[3,1,2],[4,1,18],[6,2,2],[9,1,6],[18,2,6]],[[2,1,1],[3,1,3],[4,1,45],[6,2,11],[9,1,33],[12,1,108],[18,2,105]]
Center(GAP[36,1])=GAP[2,1]
DerivedSubgroup(GAP[36,1])=GAP[9,1]
PZ(GAP[36,1])=GAP[18,1]
PD(GAP[36,1])=GAP[4,1]

GAP[36,2]:
N0=1,1,2,2,2,6,4,6,12
S2=0,1,3,5,11,33,46,105,426
kKEZDCANS=36,[36,0,0,0,0,0,0,0,0],36,36,1,1,1,1,1
I1I2=[[1,1,1],[2,1,1],[3,1,2],[4,1,2],[6,2,2],[9,1,6],[12,2,4],[18,2,6]],[[2,1,1],[3,1,3],[4,1,5],[6,2,11],[9,1,33],[12,2,46],[18,2,105]]
Center(GAP[36,2])=GAP[36,2]
DerivedSubgroup(GAP[36,2])=GAP[1,1]
PZ(GAP[36,2])=GAP[1,1]
PD(GAP[36,2])=GAP[36,2]

GAP[36,3]:
N0=1,3,2,0,6,24,0,0,0
S2=0,3,3,3,33,132,24,0,432
kKEZDCANS=12,[3,0,3,6,0,0,0,0,0],18,3,4,0,0,0,1
I1I2=[[1,1,1],[2,1,3],[3,1,2],[6,2,6],[9,1,24]],[[2,1,3],[3,1,3],[4,2,3],[6,2,33],[9,1,132],[12,5,24]]
Center(GAP[36,3])=GAP[3,1]
DerivedSubgroup(GAP[36,3])=GAP[4,2]
PZ(GAP[36,3])=GAP[12,3]
PD(GAP[36,3])=GAP[9,1]

GAP[36,4]:
N0=1,19,2,0,2,6,0,6,0
S2=0,19,3,27,65,33,54,267,162
kKEZDCANS=12,[2,8,0,0,0,2,0,0,0],18,2,9,0,0,0,1
I1I2=[[1,1,1],[2,1,19],[3,1,2],[6,2,2],[9,1,6],[18,2,6]],[[2,1,19],[3,1,3],[4,2,27],[6,1,54],[6,2,11],[9,1,33],[12,4,54],[18,1,162],[18,2,10
5]]
Center(GAP[36,4])=GAP[2,1]
DerivedSubgroup(GAP[36,4])=GAP[9,1]
PZ(GAP[36,4])=GAP[18,1]
PD(GAP[36,4])=GAP[4,2]

GAP[36,5]:
N0=1,3,2,0,6,6,0,18,0
S2=0,3,3,3,33,33,24,315,216
kKEZDCANS=36,[36,0,0,0,0,0,0,0,0],18,36,1,0,1,1,1
I1I2=[[1,1,1],[2,1,3],[3,1,2],[6,2,6],[9,1,6],[18,2,18]],[[2,1,3],[3,1,3],[4,2,3],[6,2,33],[9,1,33],[12,5,24],[18,2,315]]
Center(GAP[36,5])=GAP[36,5]
DerivedSubgroup(GAP[36,5])=GAP[1,1]
PZ(GAP[36,5])=GAP[1,1]
PD(GAP[36,5])=GAP[36,5]

GAP[36,6]:
N0=1,1,8,6,8,0,12,0,0
S2=0,1,12,15,44,24,174,72,288
kKEZDCANS=18,[6,6,6,0,0,0,0,0,0],12,6,3,0,0,0,1
I1I2=[[1,1,1],[2,1,1],[3,1,8],[4,1,6],[6,2,8],[12,2,12]],[[2,1,1],[3,1,12],[4,1,15],[6,2,44],[9,2,24],[12,1,36],[12,2,138],[18,5,72]]
Center(GAP[36,6])=GAP[6,2]
DerivedSubgroup(GAP[36,6])=GAP[3,1]
PZ(GAP[36,6])=GAP[6,1]
PD(GAP[36,6])=GAP[12,2]

GAP[36,7]:
N0=1,1,8,18,8,0,0,0,0
S2=0,1,12,45,44,24,432,72,0
kKEZDCANS=12,[2,8,0,0,0,2,0,0,0],12,2,9,0,0,0,1
I1I2=[[1,1,1],[2,1,1],[3,1,8],[4,1,18],[6,2,8]],[[2,1,1],[3,1,12],[4,1,45],[6,2,44],[9,2,24],[12,1,432],[18,5,72]]
Center(GAP[36,7])=GAP[2,1]
DerivedSubgroup(GAP[36,7])=GAP[9,2]
PZ(GAP[36,7])=GAP[18,4]
PD(GAP[36,7])=GAP[4,1]

GAP[36,8]:
N0=1,1,8,2,8,0,16,0,0
S2=0,1,12,5,44,24,184,72,288
kKEZDCANS=36,[36,0,0,0,0,0,0,0,0],12,36,1,0,1,1,1
I1I2=[[1,1,1],[2,1,1],[3,1,8],[4,1,2],[6,2,8],[12,2,16]],[[2,1,1],[3,1,12],[4,1,5],[6,2,44],[9,2,24],[12,2,184],[18,5,72]]
Center(GAP[36,8])=GAP[36,8]
DerivedSubgroup(GAP[36,8])=GAP[1,1]
PZ(GAP[36,8])=GAP[1,1]
PD(GAP[36,8])=GAP[36,8]

GAP[36,9]:
N0=1,9,8,18,0,0,0,0,0
S2=0,9,12,45,108,24,0,0,432
kKEZDCANS=6,[1,0,0,2,0,3,0,0,0],12,1,9,0,0,0,1
I1I2=[[1,1,1],[2,1,9],[3,1,8],[4,1,18]],[[2,1,9],[3,1,12],[4,1,45],[6,1,108],[9,2,24]]
Center(GAP[36,9])=GAP[1,1]
DerivedSubgroup(GAP[36,9])=GAP[9,2]
PZ(GAP[36,9])=GAP[36,9]
PD(GAP[36,9])=GAP[4,1]

GAP[36,10]:
N0=1,15,8,0,12,0,0,0,0
S2=0,15,12,27,192,24,108,144,108
kKEZDCANS=9,[1,2,2,1,2,1,0,0,0],6,1,9,0,0,0,1
I1I2=[[1,1,1],[2,1,15],[3,1,8],[6,2,12]],[[2,1,15],[3,1,12],[4,2,27],[6,1,126],[6,2,66],[9,2,24],[12,4,108],[18,3,144]]
Center(GAP[36,10])=GAP[1,1]
DerivedSubgroup(GAP[36,10])=GAP[9,2]
PZ(GAP[36,10])=GAP[36,10]
PD(GAP[36,10])=GAP[4,2]

GAP[36,11]:
N0=1,3,26,0,6,0,0,0,0
S2=0,3,39,3,33,96,168,0,288
kKEZDCANS=12,[3,0,3,6,0,0,0,0,0],6,3,4,0,0,0,1
I1I2=[[1,1,1],[2,1,3],[3,1,26],[6,2,6]],[[2,1,3],[3,1,39],[4,2,3],[6,2,33],[9,2,96],[12,3,144],[12,5,24]]
Center(GAP[36,11])=GAP[3,1]
DerivedSubgroup(GAP[36,11])=GAP[4,2]
PZ(GAP[36,11])=GAP[12,3]
PD(GAP[36,11])=GAP[9,2]

GAP[36,12]:
N0=1,7,8,0,20,0,0,0,0
S2=0,7,12,9,128,24,90,216,144
kKEZDCANS=18,[6,6,6,0,0,0,0,0,0],6,6,3,0,0,0,1
I1I2=[[1,1,1],[2,1,7],[3,1,8],[6,2,20]],[[2,1,7],[3,1,12],[4,2,9],[6,1,18],[6,2,110],[9,2,24],[12,4,18],[12,5,72],[18,3,144],[18,5,72]]
Center(GAP[36,12])=GAP[6,2]
DerivedSubgroup(GAP[36,12])=GAP[3,1]
PZ(GAP[36,12])=GAP[6,1]
PD(GAP[36,12])=GAP[12,5]

GAP[36,13]:
N0=1,19,8,0,8,0,0,0,0
S2=0,19,12,27,260,24,216,72,0
kKEZDCANS=12,[2,8,0,0,0,2,0,0,0],6,2,9,0,0,0,1
I1I2=[[1,1,1],[2,1,19],[3,1,8],[6,2,8]],[[2,1,19],[3,1,12],[4,2,27],[6,1,216],[6,2,44],[9,2,24],[12,4,216],[18,5,72]]
Center(GAP[36,13])=GAP[2,1]
DerivedSubgroup(GAP[36,13])=GAP[9,2]
PZ(GAP[36,13])=GAP[18,4]
PD(GAP[36,13])=GAP[4,2]

GAP[36,14]:
N0=1,3,8,0,24,0,0,0,0
S2=0,3,12,3,132,24,96,216,144
kKEZDCANS=36,[36,0,0,0,0,0,0,0,0],6,36,1,0,1,1,1
I1I2=[[1,1,1],[2,1,3],[3,1,8],[6,2,24]],[[2,1,3],[3,1,12],[4,2,3],[6,2,132],[9,2,24],[12,5,96],[18,5,216]]
Center(GAP[36,14])=GAP[36,14]
DerivedSubgroup(GAP[36,14])=GAP[1,1]
PZ(GAP[36,14])=GAP[1,1]
PD(GAP[36,14])=GAP[36,14]

D:\MathTool\gaptool>Group 60 13
GAP[60,1]:
N0=1,1,2,6,4,2,4,0,8,24,8,0
S2=0,1,3,15,10,11,34,36,92,420,284,864
kKEZDCANS=30,[10,10,10,0,0,0,0,0,0,0,0,0],60,10,3,0,0,0,1
I1I2=[[1,1,1],[2,1,1],[3,1,2],[4,1,6],[5,1,4],[6,2,2],[10,2,4],[15,1,8],[20,2,24],[30,4,8]],[[2,1,1],[3,1,3],[4,1,15],[5,1,10],[6,2,11],[10,
2,34],[12,1,36],[15,1,92],[20,2,420],[30,4,284]]
Center(GAP[60,1])=GAP[10,2]
DerivedSubgroup(GAP[60,1])=GAP[3,1]
PZ(GAP[60,1])=GAP[6,1]
PD(GAP[60,1])=GAP[20,2]

GAP[60,2]:
N0=1,1,2,10,4,2,4,20,8,0,8,0
S2=0,1,3,25,10,11,34,230,92,120,284,960
kKEZDCANS=24,[6,12,0,0,6,0,0,0,0,0,0,0],60,6,5,0,0,0,1
I1I2=[[1,1,1],[2,1,1],[3,1,2],[4,1,10],[5,1,4],[6,2,2],[10,2,4],[12,2,20],[15,1,8],[30,4,8]],[[2,1,1],[3,1,3],[4,1,25],[5,1,10],[6,2,11],[10
,2,34],[12,2,230],[15,1,92],[20,1,120],[30,4,284]]
Center(GAP[60,2])=GAP[6,2]
DerivedSubgroup(GAP[60,2])=GAP[5,1]
PZ(GAP[60,2])=GAP[10,1]
PD(GAP[60,2])=GAP[12,2]

GAP[60,3]:
N0=1,1,2,30,4,2,4,0,8,0,8,0
S2=0,1,3,75,10,11,34,180,92,360,284,720
kKEZDCANS=18,[2,14,0,0,0,0,0,0,2,0,0,0],60,2,15,0,0,0,1
I1I2=[[1,1,1],[2,1,1],[3,1,2],[4,1,30],[5,1,4],[6,2,2],[10,2,4],[15,1,8],[30,4,8]],[[2,1,1],[3,1,3],[4,1,75],[5,1,10],[6,2,11],[10,2,34],[12
,1,180],[15,1,92],[20,1,360],[30,4,284]]
Center(GAP[60,3])=GAP[2,1]
DerivedSubgroup(GAP[60,3])=GAP[15,1]
PZ(GAP[60,3])=GAP[30,3]
PD(GAP[60,3])=GAP[4,1]

GAP[60,4]:
N0=1,1,2,2,4,2,4,4,8,8,8,16
S2=0,1,3,5,10,11,34,46,92,140,284,1144
kKEZDCANS=60,[60,0,0,0,0,0,0,0,0,0,0,0],60,60,1,1,1,1,1
I1I2=[[1,1,1],[2,1,1],[3,1,2],[4,1,2],[5,1,4],[6,2,2],[10,2,4],[12,2,4],[15,1,8],[20,2,8],[30,4,8]],[[2,1,1],[3,1,3],[4,1,5],[5,1,10],[6,2,1
1],[10,2,34],[12,2,46],[15,1,92],[20,2,140],[30,4,284]]
Center(GAP[60,4])=GAP[60,4]
DerivedSubgroup(GAP[60,4])=GAP[1,1]
PZ(GAP[60,4])=GAP[1,1]
PD(GAP[60,4])=GAP[60,4]

GAP[60,5]:
N0=1,15,20,0,24,0,0,0,0,0,0,0
S2=0,15,30,15,60,90,180,240,0,0,0,1140
kKEZDCANS=5,[1,0,0,0,0,0,0,2,1,1,0,0],30,1,60,0,0,0,0
I1I2=[[1,1,1],[2,1,15],[3,1,20],[5,1,24]],[[2,1,15],[3,1,30],[4,2,15],[5,1,60],[6,1,90],[10,1,180],[12,3,240]]
Center(GAP[60,5])=GAP[1,1]
DerivedSubgroup(GAP[60,5])=GAP[60,5]
PZ(GAP[60,5])=GAP[60,5]
PD(GAP[60,5])=GAP[1,1]

GAP[60,6]:
N0=1,5,2,10,4,10,0,20,8,0,0,0
S2=0,5,3,25,10,55,30,230,92,120,240,960
kKEZDCANS=15,[3,0,0,3,9,0,0,0,0,0,0,0],60,3,5,0,0,0,1
I1I2=[[1,1,1],[2,1,5],[3,1,2],[4,1,10],[5,1,4],[6,2,10],[12,2,20],[15,1,8]],[[2,1,5],[3,1,3],[4,1,25],[5,1,10],[6,2,55],[10,1,30],[12,2,230]
,[15,1,92],[20,3,120],[30,2,240]]
Center(GAP[60,6])=GAP[3,1]
DerivedSubgroup(GAP[60,6])=GAP[5,1]
PZ(GAP[60,6])=GAP[20,3]
PD(GAP[60,6])=GAP[12,2]

GAP[60,7]:
N0=1,5,2,30,4,10,0,0,8,0,0,0
S2=0,5,3,75,10,55,30,180,92,360,240,720
kKEZDCANS=9,[1,1,0,3,1,0,1,0,2,0,0,0],60,1,15,0,0,0,1
I1I2=[[1,1,1],[2,1,5],[3,1,2],[4,1,30],[5,1,4],[6,2,10],[15,1,8]],[[2,1,5],[3,1,3],[4,1,75],[5,1,10],[6,2,55],[10,1,30],[12,1,180],[15,1,92]
,[20,3,360],[30,2,240]]
Center(GAP[60,7])=GAP[1,1]
DerivedSubgroup(GAP[60,7])=GAP[15,1]
PZ(GAP[60,7])=GAP[60,7]
PD(GAP[60,7])=GAP[4,1]

GAP[60,8]:
N0=1,23,2,0,4,10,12,0,8,0,0,0
S2=0,23,3,45,10,109,222,90,92,180,636,360
kKEZDCANS=12,[1,3,1,2,1,2,1,0,1,0,0,0],30,1,15,0,0,0,1
I1I2=[[1,1,1],[2,1,23],[3,1,2],[5,1,4],[6,2,10],[10,2,12],[15,1,8]],[[2,1,23],[3,1,3],[4,2,45],[5,1,10],[6,1,54],[6,2,55],[10,1,120],[10,2,1
02],[12,4,90],[15,1,92],[20,4,180],[30,1,216],[30,2,240],[30,3,180]]
Center(GAP[60,8])=GAP[1,1]
DerivedSubgroup(GAP[60,8])=GAP[15,1]
PZ(GAP[60,8])=GAP[60,8]
PD(GAP[60,8])=GAP[4,2]

GAP[60,9]:
N0=1,3,8,0,4,0,12,0,32,0,0,0
S2=0,3,12,3,10,0,102,48,368,72,0,1152
kKEZDCANS=20,[5,0,5,10,0,0,0,0,0,0,0,0],30,5,4,0,0,0,1
I1I2=[[1,1,1],[2,1,3],[3,1,8],[5,1,4],[10,2,12],[15,1,32]],[[2,1,3],[3,1,12],[4,2,3],[5,1,10],[10,2,102],[12,3,48],[15,1,368],[20,5,72]]
Center(GAP[60,9])=GAP[5,1]
DerivedSubgroup(GAP[60,9])=GAP[4,2]
PZ(GAP[60,9])=GAP[12,3]
PD(GAP[60,9])=GAP[15,1]

GAP[60,10]:
N0=1,11,2,0,4,22,4,0,8,0,8,0
S2=0,11,3,15,10,121,94,120,92,60,764,480
kKEZDCANS=24,[6,12,0,0,6,0,0,0,0,0,0,0],30,6,5,0,0,0,1
I1I2=[[1,1,1],[2,1,11],[3,1,2],[5,1,4],[6,2,22],[10,2,4],[15,1,8],[30,4,8]],[[2,1,11],[3,1,3],[4,2,15],[5,1,10],[6,2,121],[10,1,60],[10,2,34
],[12,5,120],[15,1,92],[20,4,60],[30,2,480],[30,4,284]]
Center(GAP[60,10])=GAP[6,2]
DerivedSubgroup(GAP[60,10])=GAP[5,1]
PZ(GAP[60,10])=GAP[10,1]
PD(GAP[60,10])=GAP[12,5]

GAP[60,11]:
N0=1,7,2,0,4,2,28,0,8,0,8,0
S2=0,7,3,9,10,29,238,18,92,216,716,432
kKEZDCANS=30,[10,10,10,0,0,0,0,0,0,0,0,0],30,10,3,0,0,0,1
I1I2=[[1,1,1],[2,1,7],[3,1,2],[5,1,4],[6,2,2],[10,2,28],[15,1,8],[30,4,8]],[[2,1,7],[3,1,3],[4,2,9],[5,1,10],[6,1,18],[6,2,11],[10,2,238],[1
2,4,18],[15,1,92],[20,5,216],[30,1,432],[30,4,284]]
Center(GAP[60,11])=GAP[10,2]
DerivedSubgroup(GAP[60,11])=GAP[3,1]
PZ(GAP[60,11])=GAP[6,1]
PD(GAP[60,11])=GAP[20,5]

GAP[60,12]:
N0=1,31,2,0,4,2,4,0,8,0,8,0
S2=0,31,3,45,10,101,214,90,92,180,644,360
kKEZDCANS=18,[2,14,0,0,0,0,0,0,2,0,0,0],30,2,15,0,0,0,1
I1I2=[[1,1,1],[2,1,31],[3,1,2],[5,1,4],[6,2,2],[10,2,4],[15,1,8],[30,4,8]],[[2,1,31],[3,1,3],[4,2,45],[5,1,10],[6,1,90],[6,2,11],[10,1,180],
[10,2,34],[12,4,90],[15,1,92],[20,4,180],[30,3,360],[30,4,284]]
Center(GAP[60,12])=GAP[2,1]
DerivedSubgroup(GAP[60,12])=GAP[15,1]
PZ(GAP[60,12])=GAP[30,3]
PD(GAP[60,12])=GAP[4,2]

GAP[60,13]:
N0=1,3,2,0,4,6,12,0,8,0,24,0
S2=0,3,3,3,10,33,102,24,92,72,852,576
kKEZDCANS=60,[60,0,0,0,0,0,0,0,0,0,0,0],30,60,1,0,1,1,1
I1I2=[[1,1,1],[2,1,3],[3,1,2],[5,1,4],[6,2,6],[10,2,12],[15,1,8],[30,4,24]],[[2,1,3],[3,1,3],[4,2,3],[5,1,10],[6,2,33],[10,2,102],[12,5,24],
[15,1,92],[20,5,72],[30,4,852]]
Center(GAP[60,13])=GAP[60,13]
DerivedSubgroup(GAP[60,13])=GAP[1,1]
PZ(GAP[60,13])=GAP[1,1]
PD(GAP[60,13])=GAP[60,13]
D:\MathTool\gaptool>

D:\MathTool\gaptool>G16
GAP[16,1]:
N0=1,1,2,4,8
S2=0,1,5,22,92
kKEZDCANS=16,[16,0,0,0,0],16,16,1,1,1,1,1
I1I2=[[1,1,1],[2,1,1],[4,1,2],[8,1,4]],[[2,1,1],[4,1,5],[8,1,22]]
Center(GAP[16,1])=GAP[16,1]
DerivedSubgroup(GAP[16,1])=GAP[1,1]
PZ(GAP[16,1])=GAP[1,1]
PD(GAP[16,1])=GAP[16,1]

GAP[16,2]:
N0=1,3,12,0,0
S2=0,3,33,36,48
kKEZDCANS=16,[16,0,0,0,0],4,16,1,0,1,1,1
I1I2=[[1,1,1],[2,1,3],[4,1,12]],[[2,1,3],[4,1,30],[4,2,3],[8,2,36]]
Center(GAP[16,2])=GAP[16,2]
DerivedSubgroup(GAP[16,2])=GAP[1,1]
PZ(GAP[16,2])=GAP[1,1]
PD(GAP[16,2])=GAP[16,2]

GAP[16,3]:
N0=1,7,8,0,0
S2=0,7,41,24,48
kKEZDCANS=10,[4,6,0,0,0],4,4,2,0,0,1,1
I1I2=[[1,1,1],[2,1,7],[4,1,8]],[[2,1,7],[4,1,20],[4,2,21],[8,2,24]]
Center(GAP[16,3])=GAP[4,2]
DerivedSubgroup(GAP[16,3])=GAP[2,1]
PZ(GAP[16,3])=GAP[4,2]
PD(GAP[16,3])=GAP[8,2]

GAP[16,4]:
N0=1,3,12,0,0
S2=0,3,33,36,48
kKEZDCANS=10,[4,6,0,0,0],4,4,2,0,0,1,1
I1I2=[[1,1,1],[2,1,3],[4,1,12]],[[2,1,3],[4,1,30],[4,2,3],[8,2,36]]
Center(GAP[16,4])=GAP[4,2]
DerivedSubgroup(GAP[16,4])=GAP[2,1]
PZ(GAP[16,4])=GAP[4,2]
PD(GAP[16,4])=GAP[8,2]

GAP[16,5]:
N0=1,3,4,8,0
S2=0,3,13,56,48
kKEZDCANS=16,[16,0,0,0,0],8,16,1,0,1,1,1
I1I2=[[1,1,1],[2,1,3],[4,1,4],[8,1,8]],[[2,1,3],[4,1,10],[4,2,3],[8,1,44],[8,2,12]]
Center(GAP[16,5])=GAP[16,5]
DerivedSubgroup(GAP[16,5])=GAP[1,1]
PZ(GAP[16,5])=GAP[1,1]
PD(GAP[16,5])=GAP[16,5]

GAP[16,6]:
N0=1,3,4,8,0
S2=0,3,13,56,48
kKEZDCANS=10,[4,6,0,0,0],8,4,2,0,0,1,1
I1I2=[[1,1,1],[2,1,3],[4,1,4],[8,1,8]],[[2,1,3],[4,1,10],[4,2,3],[8,1,44],[8,2,12]]
Center(GAP[16,6])=GAP[4,1]
DerivedSubgroup(GAP[16,6])=GAP[2,1]
PZ(GAP[16,6])=GAP[4,2]
PD(GAP[16,6])=GAP[8,2]

GAP[16,7]:
N0=1,9,2,4,0
S2=0,9,17,46,48
kKEZDCANS=7,[2,3,2,0,0],8,2,4,0,0,1,1
I1I2=[[1,1,1],[2,1,9],[4,1,2],[8,1,4]],[[2,1,9],[4,1,5],[4,2,12],[8,1,22],[8,3,24]]
Center(GAP[16,7])=GAP[2,1]
DerivedSubgroup(GAP[16,7])=GAP[4,1]
PZ(GAP[16,7])=GAP[8,3]
PD(GAP[16,7])=GAP[4,2]

GAP[16,8]:
N0=1,5,6,4,0
S2=0,5,21,46,48
kKEZDCANS=7,[2,3,2,0,0],8,2,4,0,0,1,1
I1I2=[[1,1,1],[2,1,5],[4,1,6],[8,1,4]],[[2,1,5],[4,1,15],[4,2,6],[8,1,22],[8,3,12],[8,4,12]]
Center(GAP[16,8])=GAP[2,1]
DerivedSubgroup(GAP[16,8])=GAP[4,1]
PZ(GAP[16,8])=GAP[8,3]
PD(GAP[16,8])=GAP[4,2]

GAP[16,9]:
N0=1,1,10,4,0
S2=0,1,25,46,48
kKEZDCANS=7,[2,3,2,0,0],8,2,4,0,0,1,1
I1I2=[[1,1,1],[2,1,1],[4,1,10],[8,1,4]],[[2,1,1],[4,1,25],[8,1,22],[8,4,24]]
Center(GAP[16,9])=GAP[2,1]
DerivedSubgroup(GAP[16,9])=GAP[4,1]
PZ(GAP[16,9])=GAP[8,3]
PD(GAP[16,9])=GAP[4,2]

GAP[16,10]:
N0=1,7,8,0,0
S2=0,7,41,72,0
kKEZDCANS=16,[16,0,0,0,0],4,16,1,0,1,1,1
I1I2=[[1,1,1],[2,1,7],[4,1,8]],[[2,1,7],[4,1,20],[4,2,21],[8,2,72]]
Center(GAP[16,10])=GAP[16,10]
DerivedSubgroup(GAP[16,10])=GAP[1,1]
PZ(GAP[16,10])=GAP[1,1]
PD(GAP[16,10])=GAP[16,10]

GAP[16,11]:
N0=1,11,4,0,0
S2=0,11,49,60,0
kKEZDCANS=10,[4,6,0,0,0],4,4,2,0,0,1,1
I1I2=[[1,1,1],[2,1,11],[4,1,4]],[[2,1,11],[4,1,10],[4,2,39],[8,2,12],[8,3,48]]
Center(GAP[16,11])=GAP[4,2]
DerivedSubgroup(GAP[16,11])=GAP[2,1]
PZ(GAP[16,11])=GAP[4,2]
PD(GAP[16,11])=GAP[8,5]

GAP[16,12]:
N0=1,3,12,0,0
S2=0,3,33,84,0
kKEZDCANS=10,[4,6,0,0,0],4,4,2,0,0,1,1
I1I2=[[1,1,1],[2,1,3],[4,1,12]],[[2,1,3],[4,1,30],[4,2,3],[8,2,36],[8,4,48]]
Center(GAP[16,12])=GAP[4,2]
DerivedSubgroup(GAP[16,12])=GAP[2,1]
PZ(GAP[16,12])=GAP[4,2]
PD(GAP[16,12])=GAP[8,5]

GAP[16,13]:
N0=1,7,8,0,0
S2=0,7,29,84,0
kKEZDCANS=10,[4,6,0,0,0],4,4,2,0,0,1,1
I1I2=[[1,1,1],[2,1,7],[4,1,8]],[[2,1,7],[4,1,20],[4,2,9],[8,2,36],[8,3,36],[8,4,12]]
Center(GAP[16,13])=GAP[4,1]
DerivedSubgroup(GAP[16,13])=GAP[2,1]
PZ(GAP[16,13])=GAP[4,2]
PD(GAP[16,13])=GAP[8,5]

GAP[16,14]:
N0=1,15,0,0,0
S2=0,15,105,0,0
kKEZDCANS=16,[16,0,0,0,0],2,16,1,0,1,1,1
I1I2=[[1,1,1],[2,1,15]],[[2,1,15],[4,2,105]]
Center(GAP[16,14])=GAP[16,14]
DerivedSubgroup(GAP[16,14])=GAP[1,1]
PZ(GAP[16,14])=GAP[1,1]
PD(GAP[16,14])=GAP[16,14]

D:\MathTool\gaptool>G24
GAP[24,1]:
N0=1,1,2,2,2,12,4,0
S2=0,1,3,5,11,66,46,144
kKEZDCANS=12,[4,4,4,0,0,0,0,0],24,4,3,0,0,0,1
I1I2=[[1,1,1],[2,1,1],[3,1,2],[4,1,2],[6,2,2],[8,1,12],[12,2,4]],[[2,1,1],[3,1,3],[4,1,5],[6,2,11],[8,1,66],[12,2,46]]
Center(GAP[24,1])=GAP[4,1]
DerivedSubgroup(GAP[24,1])=GAP[3,1]
PZ(GAP[24,1])=GAP[6,1]
PD(GAP[24,1])=GAP[8,1]

GAP[24,2]:
N0=1,1,2,2,2,4,4,8
S2=0,1,3,5,11,22,46,188
kKEZDCANS=24,[24,0,0,0,0,0,0,0],24,24,1,1,1,1,1
I1I2=[[1,1,1],[2,1,1],[3,1,2],[4,1,2],[6,2,2],[8,1,4],[12,2,4]],[[2,1,1],[3,1,3],[4,1,5],[6,2,11],[8,1,22],[12,2,46]]
Center(GAP[24,2])=GAP[24,2]
DerivedSubgroup(GAP[24,2])=GAP[1,1]
PZ(GAP[24,2])=GAP[1,1]
PD(GAP[24,2])=GAP[24,2]

GAP[24,3]:
N0=1,1,8,6,8,0,0,0
S2=0,1,12,15,44,12,0,192
kKEZDCANS=7,[2,0,0,4,1,0,0,0],12,2,8,0,0,0,1
I1I2=[[1,1,1],[2,1,1],[3,1,8],[4,1,6],[6,2,8]],[[2,1,1],[3,1,12],[4,1,15],[6,2,44],[8,4,12]]
Center(GAP[24,3])=GAP[2,1]
DerivedSubgroup(GAP[24,3])=GAP[8,4]
PZ(GAP[24,3])=GAP[12,3]
PD(GAP[24,3])=GAP[3,1]

GAP[24,4]:
N0=1,1,2,14,2,0,4,0
S2=0,1,3,35,11,36,118,72
kKEZDCANS=9,[2,5,0,0,2,0,0,0],12,2,6,0,0,0,1
I1I2=[[1,1,1],[2,1,1],[3,1,2],[4,1,14],[6,2,2],[12,2,4]],[[2,1,1],[3,1,3],[4,1,35],[6,2,11],[8,4,36],[12,1,72],[12,2,46]]
Center(GAP[24,4])=GAP[2,1]
DerivedSubgroup(GAP[24,4])=GAP[6,2]
PZ(GAP[24,4])=GAP[12,4]
PD(GAP[24,4])=GAP[4,2]

GAP[24,5]:
N0=1,7,2,8,2,0,4,0
S2=0,7,3,29,29,36,100,72
kKEZDCANS=12,[4,4,4,0,0,0,0,0],12,4,3,0,0,0,1
I1I2=[[1,1,1],[2,1,7],[3,1,2],[4,1,8],[6,2,2],[12,2,4]],[[2,1,7],[3,1,3],[4,1,20],[4,2,9],[6,1,18],[6,2,11],[8,2,36],[12,1,36],[12,2,46],[12,4,18]]
Center(GAP[24,5])=GAP[4,1]
DerivedSubgroup(GAP[24,5])=GAP[3,1]
PZ(GAP[24,5])=GAP[6,1]
PD(GAP[24,5])=GAP[8,2]

GAP[24,6]:
N0=1,13,2,2,2,0,4,0
S2=0,13,3,23,47,36,82,72
kKEZDCANS=9,[2,5,0,0,2,0,0,0],12,2,6,0,0,0,1
I1I2=[[1,1,1],[2,1,13],[3,1,2],[4,1,2],[6,2,2],[12,2,4]],[[2,1,13],[3,1,3],[4,1,5],[4,2,18],[6,1,36],[6,2,11],[8,3,36],[12,2,46],[12,4,36]]
Center(GAP[24,6])=GAP[2,1]
DerivedSubgroup(GAP[24,6])=GAP[6,2]
PZ(GAP[24,6])=GAP[12,4]
PD(GAP[24,6])=GAP[4,2]

GAP[24,7]:
N0=1,3,2,12,6,0,0,0
S2=0,3,3,33,33,36,96,72
kKEZDCANS=12,[4,4,4,0,0,0,0,0],12,4,3,0,0,0,1
I1I2=[[1,1,1],[2,1,3],[3,1,2],[4,1,12],[6,2,6]],[[2,1,3],[3,1,3],[4,1,30],[4,2,3],[6,2,33],[8,2,36],[12,1,72],[12,5,24]]
Center(GAP[24,7])=GAP[4,2]
DerivedSubgroup(GAP[24,7])=GAP[3,1]
PZ(GAP[24,7])=GAP[6,1]
PD(GAP[24,7])=GAP[8,2]

GAP[24,8]:
N0=1,9,2,6,6,0,0,0
S2=0,9,3,27,51,36,78,72
kKEZDCANS=9,[2,5,0,0,2,0,0,0],12,2,6,0,0,0,1
I1I2=[[1,1,1],[2,1,9],[3,1,2],[4,1,6],[6,2,6]],[[2,1,9],[3,1,3],[4,1,15],[4,2,12],[6,1,18],[6,2,33],[8,3,36],[12,1,36],[12,4,18],[12,5,24]]
Center(GAP[24,8])=GAP[2,1]
DerivedSubgroup(GAP[24,8])=GAP[6,2]
PZ(GAP[24,8])=GAP[12,4]
PD(GAP[24,8])=GAP[4,2]

GAP[24,9]:
N0=1,3,2,4,6,0,8,0
S2=0,3,3,13,33,12,116,96
kKEZDCANS=24,[24,0,0,0,0,0,0,0],12,24,1,0,1,1,1
I1I2=[[1,1,1],[2,1,3],[3,1,2],[4,1,4],[6,2,6],[12,2,8]],[[2,1,3],[3,1,3],[4,1,10],[4,2,3],[6,2,33],[8,2,12],[12,2,92],[12,5,24]]
Center(GAP[24,9])=GAP[24,9]
DerivedSubgroup(GAP[24,9])=GAP[1,1]
PZ(GAP[24,9])=GAP[1,1]
PD(GAP[24,9])=GAP[24,9]

GAP[24,10]:
N0=1,5,2,2,10,0,4,0
S2=0,5,3,11,55,12,94,96
kKEZDCANS=15,[6,9,0,0,0,0,0,0],12,6,2,0,0,1,1
I1I2=[[1,1,1],[2,1,5],[3,1,2],[4,1,2],[6,2,10],[12,2,4]],[[2,1,5],[3,1,3],[4,1,5],[4,2,6],[6,2,55],[8,3,12],[12,2,46],[12,5,48]]
Center(GAP[24,10])=GAP[6,2]
DerivedSubgroup(GAP[24,10])=GAP[2,1]
PZ(GAP[24,10])=GAP[4,2]
PD(GAP[24,10])=GAP[12,5]

GAP[24,11]:
N0=1,1,2,6,2,0,12,0
S2=0,1,3,15,11,12,138,96
kKEZDCANS=15,[6,9,0,0,0,0,0,0],12,6,2,0,0,1,1
I1I2=[[1,1,1],[2,1,1],[3,1,2],[4,1,6],[6,2,2],[12,2,12]],[[2,1,1],[3,1,3],[4,1,15],[6,2,11],[8,4,12],[12,2,138]]
Center(GAP[24,11])=GAP[6,2]
DerivedSubgroup(GAP[24,11])=GAP[2,1]
PZ(GAP[24,11])=GAP[4,2]
PD(GAP[24,11])=GAP[12,5]

GAP[24,12]:
N0=1,9,8,6,0,0,0,0
S2=0,9,12,27,36,36,48,108
kKEZDCANS=5,[1,0,1,0,2,1,0,0],12,1,12,0,0,0,1
I1I2=[[1,1,1],[2,1,9],[3,1,8],[4,1,6]],[[2,1,9],[3,1,12],[4,1,15],[4,2,12],[6,1,36],[8,3,36],[12,3,48]]
Center(GAP[24,12])=GAP[1,1]
DerivedSubgroup(GAP[24,12])=GAP[12,3]
PZ(GAP[24,12])=GAP[24,12]
PD(GAP[24,12])=GAP[2,1]

GAP[24,13]:
N0=1,7,8,0,8,0,0,0
S2=0,7,12,21,44,0,48,144
kKEZDCANS=8,[2,0,2,4,0,0,0,0],6,2,4,0,0,0,1
I1I2=[[1,1,1],[2,1,7],[3,1,8],[6,2,8]],[[2,1,7],[3,1,12],[4,2,21],[6,2,44],[12,3,48]]
Center(GAP[24,13])=GAP[2,1]
DerivedSubgroup(GAP[24,13])=GAP[4,2]
PZ(GAP[24,13])=GAP[12,3]
PD(GAP[24,13])=GAP[6,2]

GAP[24,14]:
N0=1,15,2,0,6,0,0,0
S2=0,15,3,57,69,0,132,0
kKEZDCANS=12,[4,4,4,0,0,0,0,0],6,4,3,0,0,0,1
I1I2=[[1,1,1],[2,1,15],[3,1,2],[6,2,6]],[[2,1,15],[3,1,3],[4,2,57],[6,1,36],[6,2,33],[12,4,108],[12,5,24]]
Center(GAP[24,14])=GAP[4,2]
DerivedSubgroup(GAP[24,14])=GAP[3,1]
PZ(GAP[24,14])=GAP[6,1]
PD(GAP[24,14])=GAP[8,5]

GAP[24,15]:
N0=1,7,2,0,14,0,0,0
S2=0,7,3,21,77,0,168,0
kKEZDCANS=24,[24,0,0,0,0,0,0,0],6,24,1,0,1,1,1
I1I2=[[1,1,1],[2,1,7],[3,1,2],[6,2,14]],[[2,1,7],[3,1,3],[4,2,21],[6,2,77],[12,5,168]]
Center(GAP[24,15])=GAP[24,15]
DerivedSubgroup(GAP[24,15])=GAP[1,1]
PZ(GAP[24,15])=GAP[1,1]
PD(GAP[24,15])=GAP[24,15]

#include "FiniteGroup.h"
#include "quotientGroup.h"
#include <fstream>
#include <complex>
using namespace std;

bool usecomma=false;

IGroup* newG(int n,int i,int* IDs,int cnt){
    if(i<=0||i>cnt)
        return NULL;
    
    int iElem;
    int sum=0;
    char sz[40]={0};
//#ifdef USECOMMA
if(usecomma)
    sprintf(sz,"G%d.%d.txt",n,IDs[i-1]);
//#else
else
    sprintf(sz,"G%d_%d.txt",n,IDs[i-1]);
//#endif
    ifstream fin(sz);
    if(!fin)
        return NULL;
    int *g_GMul=new int[n*n];
    while(!fin.eof() && sum<n*n) {
        fin >> iElem;
        sum++;
        int i=(sum-1)/n;
        int j=(sum-1)%n;
        *(g_GMul+i*n+j)=iElem-1;
    }
    fin.close();
    
    FiniteGroup *g=new FiniteGroup(n,g_GMul,0);
    g->m_flag=1;
    return g;
}

void print(IGroup* g){
    int ID=IdGroup(g);
    string N0=calcN0(g);   
    string S2=calcS2(g);
    string kKEZDCANS=calckKEZDCANS(g);
    printf("GAP[%d,%d]:\n",g->size(),ID); 
    printf("N0=%s\n",N0.c_str());  
    printf("S2=%s\n",S2.c_str());
    printf("kKEZDCANS=%s\n",kKEZDCANS.c_str());
    string I1=calcI1(g);
    string I2=calcI2(g);
    printf("I1I2=%s,%s\n",I1.c_str(),I2.c_str());

    vector<int> z=CenterOfG(g);
    vector<int> d=commutatorOfG(g);    
    Subgroup Z(g,z);
    Subgroup D(g,d);
    int ZID=IdGroup(&Z);
    int DID=IdGroup(&D);    
    printf("Center(GAP[%d,%d])=GAP[%d,%d]\n",g->size(),ID,Z.size(),ZID);    
    printf("DerivedSubgroup(GAP[%d,%d])=GAP[%d,%d]\n",g->size(),ID,D.size(),DID);
    
    quotientGroup PZ(g,z);
    quotientGroup PD(g,d);
    int PZID=IdGroup(&PZ);
    int PDID=IdGroup(&PD);
    printf("PZ(GAP[%d,%d])=GAP[%d,%d]\n",g->size(),ID,PZ.size(),PZID);    
    printf("PD(GAP[%d,%d])=GAP[%d,%d]\n",g->size(),ID,PD.size(),PDID);    
    printf("\n");
}

std::vector<string> split( const std::string& str, const std::string& delims, unsigned int maxSplits = 0)
{
    std::vector<string> ret;
    unsigned int numSplits = 0;
    // Use STL methods 
    size_t start, pos;
    start = 0;
    do 
    {
        pos = str.find_first_of(delims, start);
        if (pos == start)
        {
            // Do nothing
            start = pos + 1;
        }
        else if (pos == std::string::npos || (maxSplits && numSplits == maxSplits))
        {
            // Copy the rest of the std::string
            ret.push_back( str.substr(start) );
            break;
        }
        else
        {
            // Copy up to delimiter
            ret.push_back( str.substr(start, pos - start) );
            start = pos + 1;
        }
        // parse up to next real data
        start = str.find_first_not_of(delims, start);
        ++numSplits;
    } while (pos != std::string::npos);
    return ret;
}

int main(int argc, char* argv[])
{
    //if(strspn(argv[0],"Gnm")==0)//Error
    if(string(argv[0]).find("Gnm",0)!=string::npos)    
        usecomma=true;
    
    char sz[100]={0};
    if(argc<3)
    {
        printf("Usage:  Group arg1 arg2 [arg3]\n");
        printf("eg16:Group 16 14 1,2,6,7,3,8,9,10,11,4,12,13,14,5\n");
        printf("eg18:Group 18 5 3,1,4,5,2\n");        
        printf("eg24:Group 24 15 4,1,5,6,7,8,9,10,2,11,12,13,14,15,3\n");
        return 0;
    }
    
    int n=atoi(argv[1]);
    int m=atoi(argv[2]);
    if(n<1||m<1)
    {
        return 0;
    }
    vector<int> IDs(m);
    for(int i=0;i<m;i++)
        IDs[i]=i+1;
    if(argc>3)
    {
        vector<string> v=split(argv[3],",");
        if(v.size()!=m)
            return 0;
        for(int i=0;i<m;i++)
            IDs[i]=atoi(v[i].c_str());
    }    
    for(int i=1;i<=m;i++){
        IGroup* g=newG(n,i,&IDs[0],m);
        if(g){
            print(g);
            delete g;
            g=NULL;
        }
    }
    return 0;
}


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