# Extensions 1→N→G→Q→1 with N=C60 and Q=C23

Direct product G=N×Q with N=C60 and Q=C23
dρLabelID
C23×C60480C2^3xC60480,1180

Semidirect products G=N:Q with N=C60 and Q=C23
extensionφ:Q→Aut NdρLabelID
C60⋊C23 = S3×D4×D5φ: C23/C1C23 ⊆ Aut C60608+C60:C2^3480,1097
C602C23 = C2×D4×D15φ: C23/C2C22 ⊆ Aut C60120C60:2C2^3480,1169
C603C23 = C2×S3×D20φ: C23/C2C22 ⊆ Aut C60120C60:3C2^3480,1088
C604C23 = C2×D5×D12φ: C23/C2C22 ⊆ Aut C60120C60:4C2^3480,1087
C605C23 = C2×C20⋊D6φ: C23/C2C22 ⊆ Aut C60120C60:5C2^3480,1089
C606C23 = S3×C2×C4×D5φ: C23/C2C22 ⊆ Aut C60120C60:6C2^3480,1086
C607C23 = C6×D4×D5φ: C23/C2C22 ⊆ Aut C60120C60:7C2^3480,1139
C608C23 = S3×D4×C10φ: C23/C2C22 ⊆ Aut C60120C60:8C2^3480,1154
C609C23 = C22×D60φ: C23/C22C2 ⊆ Aut C60240C60:9C2^3480,1167
C6010C23 = C22×C4×D15φ: C23/C22C2 ⊆ Aut C60240C60:10C2^3480,1166
C6011C23 = C2×C6×D20φ: C23/C22C2 ⊆ Aut C60240C60:11C2^3480,1137
C6012C23 = C2×C10×D12φ: C23/C22C2 ⊆ Aut C60240C60:12C2^3480,1152
C6013C23 = D5×C22×C12φ: C23/C22C2 ⊆ Aut C60240C60:13C2^3480,1136
C6014C23 = S3×C22×C20φ: C23/C22C2 ⊆ Aut C60240C60:14C2^3480,1151
C6015C23 = D4×C2×C30φ: C23/C22C2 ⊆ Aut C60240C60:15C2^3480,1181

Non-split extensions G=N.Q with N=C60 and Q=C23
extensionφ:Q→Aut NdρLabelID
C60.1C23 = D5×D4⋊S3φ: C23/C1C23 ⊆ Aut C601208+C60.1C2^3480,553
C60.2C23 = Dic103D6φ: C23/C1C23 ⊆ Aut C601208+C60.2C2^3480,554
C60.3C23 = S3×D4⋊D5φ: C23/C1C23 ⊆ Aut C601208+C60.3C2^3480,555
C60.4C23 = D60.C22φ: C23/C1C23 ⊆ Aut C601208+C60.4C2^3480,556
C60.5C23 = D15⋊D8φ: C23/C1C23 ⊆ Aut C601208+C60.5C2^3480,557
C60.6C23 = D30.8D4φ: C23/C1C23 ⊆ Aut C601208-C60.6C2^3480,558
C60.7C23 = D5×D4.S3φ: C23/C1C23 ⊆ Aut C601208-C60.7C2^3480,559
C60.8C23 = C60.8C23φ: C23/C1C23 ⊆ Aut C602408-C60.8C2^3480,560
C60.9C23 = S3×D4.D5φ: C23/C1C23 ⊆ Aut C601208-C60.9C2^3480,561
C60.10C23 = C60.10C23φ: C23/C1C23 ⊆ Aut C602408-C60.10C2^3480,562
C60.11C23 = Dic10⋊D6φ: C23/C1C23 ⊆ Aut C601208+C60.11C2^3480,563
C60.12C23 = D30.9D4φ: C23/C1C23 ⊆ Aut C602408-C60.12C2^3480,564
C60.13C23 = D1210D10φ: C23/C1C23 ⊆ Aut C601208-C60.13C2^3480,565
C60.14C23 = D12.24D10φ: C23/C1C23 ⊆ Aut C602408-C60.14C2^3480,566
C60.15C23 = D20.9D6φ: C23/C1C23 ⊆ Aut C601208+C60.15C2^3480,567
C60.16C23 = C60.16C23φ: C23/C1C23 ⊆ Aut C602408+C60.16C2^3480,568
C60.17C23 = D20.24D6φ: C23/C1C23 ⊆ Aut C602408-C60.17C2^3480,569
C60.18C23 = D2010D6φ: C23/C1C23 ⊆ Aut C601208-C60.18C2^3480,570
C60.19C23 = C60.19C23φ: C23/C1C23 ⊆ Aut C602408+C60.19C2^3480,571
C60.20C23 = D12.9D10φ: C23/C1C23 ⊆ Aut C601208+C60.20C2^3480,572
C60.21C23 = D20.10D6φ: C23/C1C23 ⊆ Aut C602408-C60.21C2^3480,573
C60.22C23 = Dic6⋊D10φ: C23/C1C23 ⊆ Aut C601208+C60.22C2^3480,574
C60.23C23 = D30.11D4φ: C23/C1C23 ⊆ Aut C602408-C60.23C2^3480,575
C60.24C23 = D125D10φ: C23/C1C23 ⊆ Aut C601208+C60.24C2^3480,576
C60.25C23 = D5×Q82S3φ: C23/C1C23 ⊆ Aut C601208+C60.25C2^3480,577
C60.26C23 = D20⋊D6φ: C23/C1C23 ⊆ Aut C601208+C60.26C2^3480,578
C60.27C23 = S3×Q8⋊D5φ: C23/C1C23 ⊆ Aut C601208+C60.27C2^3480,579
C60.28C23 = D12⋊D10φ: C23/C1C23 ⊆ Aut C601208+C60.28C2^3480,580
C60.29C23 = D15⋊SD16φ: C23/C1C23 ⊆ Aut C601208-C60.29C2^3480,581
C60.30C23 = D60⋊C22φ: C23/C1C23 ⊆ Aut C601208+C60.30C2^3480,582
C60.31C23 = D5×C3⋊Q16φ: C23/C1C23 ⊆ Aut C602408-C60.31C2^3480,583
C60.32C23 = D20.13D6φ: C23/C1C23 ⊆ Aut C602408-C60.32C2^3480,584
C60.33C23 = S3×C5⋊Q16φ: C23/C1C23 ⊆ Aut C602408-C60.33C2^3480,585
C60.34C23 = Dic10.26D6φ: C23/C1C23 ⊆ Aut C602408-C60.34C2^3480,586
C60.35C23 = D15⋊Q16φ: C23/C1C23 ⊆ Aut C602408-C60.35C2^3480,587
C60.36C23 = C60.C23φ: C23/C1C23 ⊆ Aut C602408+C60.36C2^3480,588
C60.37C23 = D12.27D10φ: C23/C1C23 ⊆ Aut C602408-C60.37C2^3480,589
C60.38C23 = D20.14D6φ: C23/C1C23 ⊆ Aut C602408-C60.38C2^3480,590
C60.39C23 = C60.39C23φ: C23/C1C23 ⊆ Aut C602408+C60.39C2^3480,591
C60.40C23 = D20.D6φ: C23/C1C23 ⊆ Aut C602408+C60.40C2^3480,592
C60.41C23 = D20.27D6φ: C23/C1C23 ⊆ Aut C602408-C60.41C2^3480,593
C60.42C23 = D20.28D6φ: C23/C1C23 ⊆ Aut C602408-C60.42C2^3480,594
C60.43C23 = Dic10.27D6φ: C23/C1C23 ⊆ Aut C602408+C60.43C2^3480,595
C60.44C23 = C60.44C23φ: C23/C1C23 ⊆ Aut C602408+C60.44C2^3480,596
C60.45C23 = D20.16D6φ: C23/C1C23 ⊆ Aut C602408+C60.45C2^3480,597
C60.46C23 = D20.17D6φ: C23/C1C23 ⊆ Aut C602408-C60.46C2^3480,598
C60.47C23 = D12.D10φ: C23/C1C23 ⊆ Aut C602408+C60.47C2^3480,599
C60.48C23 = D30.44D4φ: C23/C1C23 ⊆ Aut C602408-C60.48C2^3480,600
C60.49C23 = C15⋊2- 1+4φ: C23/C1C23 ⊆ Aut C602408-C60.49C2^3480,1096
C60.50C23 = D5×D42S3φ: C23/C1C23 ⊆ Aut C601208-C60.50C2^3480,1098
C60.51C23 = S3×D42D5φ: C23/C1C23 ⊆ Aut C601208-C60.51C2^3480,1099
C60.52C23 = D30.C23φ: C23/C1C23 ⊆ Aut C601208+C60.52C2^3480,1100
C60.53C23 = D2013D6φ: C23/C1C23 ⊆ Aut C601208-C60.53C2^3480,1101
C60.54C23 = D2014D6φ: C23/C1C23 ⊆ Aut C601208+C60.54C2^3480,1102
C60.55C23 = D1214D10φ: C23/C1C23 ⊆ Aut C601208+C60.55C2^3480,1103
C60.56C23 = D20.29D6φ: C23/C1C23 ⊆ Aut C602408-C60.56C2^3480,1104
C60.57C23 = C30.33C24φ: C23/C1C23 ⊆ Aut C602408+C60.57C2^3480,1105
C60.58C23 = D12.29D10φ: C23/C1C23 ⊆ Aut C602408-C60.58C2^3480,1106
C60.59C23 = S3×Q8×D5φ: C23/C1C23 ⊆ Aut C601208-C60.59C2^3480,1107
C60.60C23 = D5×Q83S3φ: C23/C1C23 ⊆ Aut C601208+C60.60C2^3480,1108
C60.61C23 = S3×Q82D5φ: C23/C1C23 ⊆ Aut C601208+C60.61C2^3480,1109
C60.62C23 = D2016D6φ: C23/C1C23 ⊆ Aut C601208-C60.62C2^3480,1110
C60.63C23 = D2017D6φ: C23/C1C23 ⊆ Aut C601208+C60.63C2^3480,1111
C60.64C23 = D8×D15φ: C23/C2C22 ⊆ Aut C601204+C60.64C2^3480,875
C60.65C23 = D8⋊D15φ: C23/C2C22 ⊆ Aut C601204C60.65C2^3480,876
C60.66C23 = D83D15φ: C23/C2C22 ⊆ Aut C602404-C60.66C2^3480,877
C60.67C23 = SD16×D15φ: C23/C2C22 ⊆ Aut C601204C60.67C2^3480,878
C60.68C23 = Q83D30φ: C23/C2C22 ⊆ Aut C601204+C60.68C2^3480,879
C60.69C23 = SD16⋊D15φ: C23/C2C22 ⊆ Aut C602404-C60.69C2^3480,880
C60.70C23 = D4.5D30φ: C23/C2C22 ⊆ Aut C602404C60.70C2^3480,881
C60.71C23 = Q16×D15φ: C23/C2C22 ⊆ Aut C602404-C60.71C2^3480,882
C60.72C23 = Q16⋊D15φ: C23/C2C22 ⊆ Aut C602404C60.72C2^3480,883
C60.73C23 = D1208C2φ: C23/C2C22 ⊆ Aut C602404+C60.73C2^3480,884
C60.74C23 = C2×D4⋊D15φ: C23/C2C22 ⊆ Aut C60240C60.74C2^3480,896
C60.75C23 = D4.D30φ: C23/C2C22 ⊆ Aut C601204C60.75C2^3480,897
C60.76C23 = C2×D4.D15φ: C23/C2C22 ⊆ Aut C60240C60.76C2^3480,898
C60.77C23 = C2×Q82D15φ: C23/C2C22 ⊆ Aut C60240C60.77C2^3480,906
C60.78C23 = Q8.11D30φ: C23/C2C22 ⊆ Aut C602404C60.78C2^3480,907
C60.79C23 = C2×C157Q16φ: C23/C2C22 ⊆ Aut C60480C60.79C2^3480,908
C60.80C23 = D4⋊D30φ: C23/C2C22 ⊆ Aut C601204+C60.80C2^3480,914
C60.81C23 = D4.8D30φ: C23/C2C22 ⊆ Aut C602404C60.81C2^3480,915
C60.82C23 = D4.9D30φ: C23/C2C22 ⊆ Aut C602404-C60.82C2^3480,916
C60.83C23 = C2×D42D15φ: C23/C2C22 ⊆ Aut C60240C60.83C2^3480,1170
C60.84C23 = D46D30φ: C23/C2C22 ⊆ Aut C601204C60.84C2^3480,1171
C60.85C23 = C2×Q8×D15φ: C23/C2C22 ⊆ Aut C60240C60.85C2^3480,1172
C60.86C23 = C2×Q83D15φ: C23/C2C22 ⊆ Aut C60240C60.86C2^3480,1173
C60.87C23 = Q8.15D30φ: C23/C2C22 ⊆ Aut C602404C60.87C2^3480,1174
C60.88C23 = C4○D4×D15φ: C23/C2C22 ⊆ Aut C601204C60.88C2^3480,1175
C60.89C23 = D48D30φ: C23/C2C22 ⊆ Aut C601204+C60.89C2^3480,1176
C60.90C23 = D4.10D30φ: C23/C2C22 ⊆ Aut C602404-C60.90C2^3480,1177
C60.91C23 = S3×C40⋊C2φ: C23/C2C22 ⊆ Aut C601204C60.91C2^3480,327
C60.92C23 = S3×D40φ: C23/C2C22 ⊆ Aut C601204+C60.92C2^3480,328
C60.93C23 = C401D6φ: C23/C2C22 ⊆ Aut C601204+C60.93C2^3480,329
C60.94C23 = D40⋊S3φ: C23/C2C22 ⊆ Aut C601204C60.94C2^3480,330
C60.95C23 = S3×Dic20φ: C23/C2C22 ⊆ Aut C602404-C60.95C2^3480,338
C60.96C23 = Dic20⋊S3φ: C23/C2C22 ⊆ Aut C602404C60.96C2^3480,339
C60.97C23 = D6.1D20φ: C23/C2C22 ⊆ Aut C602404C60.97C2^3480,348
C60.98C23 = D407S3φ: C23/C2C22 ⊆ Aut C602404-C60.98C2^3480,349
C60.99C23 = C40.2D6φ: C23/C2C22 ⊆ Aut C602404-C60.99C2^3480,350
C60.100C23 = D1205C2φ: C23/C2C22 ⊆ Aut C602404+C60.100C2^3480,351
C60.101C23 = C2×C3⋊D40φ: C23/C2C22 ⊆ Aut C60240C60.101C2^3480,376
C60.102C23 = D2019D6φ: C23/C2C22 ⊆ Aut C601204+C60.102C2^3480,377
C60.103C23 = C2×C6.D20φ: C23/C2C22 ⊆ Aut C60240C60.103C2^3480,386
C60.104C23 = D20.31D6φ: C23/C2C22 ⊆ Aut C602404C60.104C2^3480,387
C60.105C23 = D6030C22φ: C23/C2C22 ⊆ Aut C601204C60.105C2^3480,388
C60.106C23 = C60.63D4φ: C23/C2C22 ⊆ Aut C602404-C60.106C2^3480,389
C60.107C23 = C2×C15⋊SD16φ: C23/C2C22 ⊆ Aut C60240C60.107C2^3480,390
C60.108C23 = C12.D20φ: C23/C2C22 ⊆ Aut C602404C60.108C2^3480,391
C60.109C23 = C2×C3⋊Dic20φ: C23/C2C22 ⊆ Aut C60480C60.109C2^3480,395
C60.110C23 = C2×D205S3φ: C23/C2C22 ⊆ Aut C60240C60.110C2^3480,1074
C60.111C23 = D20.39D6φ: C23/C2C22 ⊆ Aut C602404-C60.111C2^3480,1077
C60.112C23 = C2×S3×Dic10φ: C23/C2C22 ⊆ Aut C60240C60.112C2^3480,1078
C60.113C23 = C2×D60⋊C2φ: C23/C2C22 ⊆ Aut C60240C60.113C2^3480,1081
C60.114C23 = S3×C4○D20φ: C23/C2C22 ⊆ Aut C601204C60.114C2^3480,1091
C60.115C23 = D2029D6φ: C23/C2C22 ⊆ Aut C601204+C60.115C2^3480,1095
C60.116C23 = D5×C24⋊C2φ: C23/C2C22 ⊆ Aut C601204C60.116C2^3480,323
C60.117C23 = D5×D24φ: C23/C2C22 ⊆ Aut C601204+C60.117C2^3480,324
C60.118C23 = C24⋊D10φ: C23/C2C22 ⊆ Aut C601204+C60.118C2^3480,325
C60.119C23 = D24⋊D5φ: C23/C2C22 ⊆ Aut C601204C60.119C2^3480,326
C60.120C23 = D5×Dic12φ: C23/C2C22 ⊆ Aut C602404-C60.120C2^3480,335
C60.121C23 = Dic60⋊C2φ: C23/C2C22 ⊆ Aut C602404-C60.121C2^3480,336
C60.122C23 = C24.2D10φ: C23/C2C22 ⊆ Aut C602404C60.122C2^3480,337
C60.123C23 = C40.31D6φ: C23/C2C22 ⊆ Aut C602404C60.123C2^3480,345
C60.124C23 = D247D5φ: C23/C2C22 ⊆ Aut C602404-C60.124C2^3480,346
C60.125C23 = D120⋊C2φ: C23/C2C22 ⊆ Aut C602404+C60.125C2^3480,347
C60.126C23 = C2×C5⋊D24φ: C23/C2C22 ⊆ Aut C60240C60.126C2^3480,378
C60.127C23 = C20.60D12φ: C23/C2C22 ⊆ Aut C602404C60.127C2^3480,379
C60.128C23 = D6036C22φ: C23/C2C22 ⊆ Aut C601204C60.128C2^3480,380
C60.129C23 = C60.38D4φ: C23/C2C22 ⊆ Aut C601204+C60.129C2^3480,381
C60.130C23 = C2×D12.D5φ: C23/C2C22 ⊆ Aut C60240C60.130C2^3480,392
C60.131C23 = C2×Dic6⋊D5φ: C23/C2C22 ⊆ Aut C60240C60.131C2^3480,393
C60.132C23 = C2×C5⋊Dic12φ: C23/C2C22 ⊆ Aut C60480C60.132C2^3480,396
C60.133C23 = C20.D12φ: C23/C2C22 ⊆ Aut C602404C60.133C2^3480,397
C60.134C23 = D12.33D10φ: C23/C2C22 ⊆ Aut C602404-C60.134C2^3480,398
C60.135C23 = C2×D5×Dic6φ: C23/C2C22 ⊆ Aut C60240C60.135C2^3480,1073
C60.136C23 = C2×D125D5φ: C23/C2C22 ⊆ Aut C60240C60.136C2^3480,1084
C60.137C23 = C2×C12.28D10φ: C23/C2C22 ⊆ Aut C60240C60.137C2^3480,1085
C60.138C23 = D5×C4○D12φ: C23/C2C22 ⊆ Aut C601204C60.138C2^3480,1090
C60.139C23 = C4014D6φ: C23/C2C22 ⊆ Aut C601204C60.139C2^3480,331
C60.140C23 = C405D6φ: C23/C2C22 ⊆ Aut C601204C60.140C2^3480,332
C60.141C23 = D246D5φ: C23/C2C22 ⊆ Aut C601204C60.141C2^3480,333
C60.142C23 = C408D6φ: C23/C2C22 ⊆ Aut C601204C60.142C2^3480,334
C60.143C23 = Dic10.D6φ: C23/C2C22 ⊆ Aut C602404C60.143C2^3480,340
C60.144C23 = Dic6.D10φ: C23/C2C22 ⊆ Aut C602404C60.144C2^3480,352
C60.145C23 = D405S3φ: C23/C2C22 ⊆ Aut C602404C60.145C2^3480,353
C60.146C23 = D30.3D4φ: C23/C2C22 ⊆ Aut C602404C60.146C2^3480,354
C60.147C23 = D245D5φ: C23/C2C22 ⊆ Aut C602404C60.147C2^3480,355
C60.148C23 = D30.4D4φ: C23/C2C22 ⊆ Aut C602404C60.148C2^3480,356
C60.149C23 = C2×C15⋊D8φ: C23/C2C22 ⊆ Aut C60240C60.149C2^3480,372
C60.150C23 = D20.34D6φ: C23/C2C22 ⊆ Aut C602404C60.150C2^3480,373
C60.151C23 = C60.36D4φ: C23/C2C22 ⊆ Aut C601204C60.151C2^3480,374
C60.152C23 = D2021D6φ: C23/C2C22 ⊆ Aut C601204C60.152C2^3480,375
C60.153C23 = C2×C30.D4φ: C23/C2C22 ⊆ Aut C60240C60.153C2^3480,382
C60.154C23 = D20.37D6φ: C23/C2C22 ⊆ Aut C602404C60.154C2^3480,383
C60.155C23 = C2×C20.D6φ: C23/C2C22 ⊆ Aut C60240C60.155C2^3480,384
C60.156C23 = D12.37D10φ: C23/C2C22 ⊆ Aut C602404C60.156C2^3480,385
C60.157C23 = C2×C15⋊Q16φ: C23/C2C22 ⊆ Aut C60480C60.157C2^3480,394
C60.158C23 = C2×D20⋊S3φ: C23/C2C22 ⊆ Aut C60240C60.158C2^3480,1075
C60.159C23 = D20.38D6φ: C23/C2C22 ⊆ Aut C602404C60.159C2^3480,1076
C60.160C23 = C2×D12⋊D5φ: C23/C2C22 ⊆ Aut C60240C60.160C2^3480,1079
C60.161C23 = C30.C24φ: C23/C2C22 ⊆ Aut C602404C60.161C2^3480,1080
C60.162C23 = C2×D15⋊Q8φ: C23/C2C22 ⊆ Aut C60240C60.162C2^3480,1082
C60.163C23 = D2024D6φ: C23/C2C22 ⊆ Aut C601204C60.163C2^3480,1092
C60.164C23 = D2025D6φ: C23/C2C22 ⊆ Aut C601204C60.164C2^3480,1093
C60.165C23 = D2026D6φ: C23/C2C22 ⊆ Aut C601204C60.165C2^3480,1094
C60.166C23 = S3×C8×D5φ: C23/C2C22 ⊆ Aut C601204C60.166C2^3480,319
C60.167C23 = D5×C8⋊S3φ: C23/C2C22 ⊆ Aut C601204C60.167C2^3480,320
C60.168C23 = S3×C8⋊D5φ: C23/C2C22 ⊆ Aut C601204C60.168C2^3480,321
C60.169C23 = C40⋊D6φ: C23/C2C22 ⊆ Aut C601204C60.169C2^3480,322
C60.170C23 = C40.54D6φ: C23/C2C22 ⊆ Aut C602404C60.170C2^3480,341
C60.171C23 = C40.34D6φ: C23/C2C22 ⊆ Aut C602404C60.171C2^3480,342
C60.172C23 = C40.55D6φ: C23/C2C22 ⊆ Aut C602404C60.172C2^3480,343
C60.173C23 = C40.35D6φ: C23/C2C22 ⊆ Aut C602404C60.173C2^3480,344
C60.174C23 = C2×D5×C3⋊C8φ: C23/C2C22 ⊆ Aut C60240C60.174C2^3480,357
C60.175C23 = D5×C4.Dic3φ: C23/C2C22 ⊆ Aut C601204C60.175C2^3480,358
C60.176C23 = D20.3Dic3φ: C23/C2C22 ⊆ Aut C602404C60.176C2^3480,359
C60.177C23 = D20.2Dic3φ: C23/C2C22 ⊆ Aut C602404C60.177C2^3480,360
C60.178C23 = C2×S3×C52C8φ: C23/C2C22 ⊆ Aut C60240C60.178C2^3480,361
C60.179C23 = D12.2Dic5φ: C23/C2C22 ⊆ Aut C602404C60.179C2^3480,362
C60.180C23 = S3×C4.Dic5φ: C23/C2C22 ⊆ Aut C601204C60.180C2^3480,363
C60.181C23 = D12.Dic5φ: C23/C2C22 ⊆ Aut C602404C60.181C2^3480,364
C60.182C23 = C2×D152C8φ: C23/C2C22 ⊆ Aut C60240C60.182C2^3480,365
C60.183C23 = D60.5C4φ: C23/C2C22 ⊆ Aut C602404C60.183C2^3480,366
C60.184C23 = D60.4C4φ: C23/C2C22 ⊆ Aut C602404C60.184C2^3480,367
C60.185C23 = D154M4(2)φ: C23/C2C22 ⊆ Aut C601204C60.185C2^3480,368
C60.186C23 = C2×C20.32D6φ: C23/C2C22 ⊆ Aut C60240C60.186C2^3480,369
C60.187C23 = C2×D6.Dic5φ: C23/C2C22 ⊆ Aut C60240C60.187C2^3480,370
C60.188C23 = C2×D30.5C4φ: C23/C2C22 ⊆ Aut C60240C60.188C2^3480,371
C60.189C23 = C2×D6.D10φ: C23/C2C22 ⊆ Aut C60240C60.189C2^3480,1083
C60.190C23 = C3×D5×D8φ: C23/C2C22 ⊆ Aut C601204C60.190C2^3480,703
C60.191C23 = C3×D8⋊D5φ: C23/C2C22 ⊆ Aut C601204C60.191C2^3480,704
C60.192C23 = C3×D83D5φ: C23/C2C22 ⊆ Aut C602404C60.192C2^3480,705
C60.193C23 = C3×D5×SD16φ: C23/C2C22 ⊆ Aut C601204C60.193C2^3480,706
C60.194C23 = C3×D40⋊C2φ: C23/C2C22 ⊆ Aut C601204C60.194C2^3480,707
C60.195C23 = C3×SD16⋊D5φ: C23/C2C22 ⊆ Aut C602404C60.195C2^3480,708
C60.196C23 = C3×SD163D5φ: C23/C2C22 ⊆ Aut C602404C60.196C2^3480,709
C60.197C23 = C3×D5×Q16φ: C23/C2C22 ⊆ Aut C602404C60.197C2^3480,710
C60.198C23 = C3×Q16⋊D5φ: C23/C2C22 ⊆ Aut C602404C60.198C2^3480,711
C60.199C23 = C3×Q8.D10φ: C23/C2C22 ⊆ Aut C602404C60.199C2^3480,712
C60.200C23 = C6×D4⋊D5φ: C23/C2C22 ⊆ Aut C60240C60.200C2^3480,724
C60.201C23 = C3×D4.D10φ: C23/C2C22 ⊆ Aut C601204C60.201C2^3480,725
C60.202C23 = C6×D4.D5φ: C23/C2C22 ⊆ Aut C60240C60.202C2^3480,726
C60.203C23 = C6×Q8⋊D5φ: C23/C2C22 ⊆ Aut C60240C60.203C2^3480,734
C60.204C23 = C3×C20.C23φ: C23/C2C22 ⊆ Aut C602404C60.204C2^3480,735
C60.205C23 = C6×C5⋊Q16φ: C23/C2C22 ⊆ Aut C60480C60.205C2^3480,736
C60.206C23 = C3×D4⋊D10φ: C23/C2C22 ⊆ Aut C601204C60.206C2^3480,742
C60.207C23 = C3×D4.8D10φ: C23/C2C22 ⊆ Aut C602404C60.207C2^3480,743
C60.208C23 = C3×D4.9D10φ: C23/C2C22 ⊆ Aut C602404C60.208C2^3480,744
C60.209C23 = C6×D42D5φ: C23/C2C22 ⊆ Aut C60240C60.209C2^3480,1140
C60.210C23 = C3×D46D10φ: C23/C2C22 ⊆ Aut C601204C60.210C2^3480,1141
C60.211C23 = C6×Q8×D5φ: C23/C2C22 ⊆ Aut C60240C60.211C2^3480,1142
C60.212C23 = C6×Q82D5φ: C23/C2C22 ⊆ Aut C60240C60.212C2^3480,1143
C60.213C23 = C3×Q8.10D10φ: C23/C2C22 ⊆ Aut C602404C60.213C2^3480,1144
C60.214C23 = C3×D5×C4○D4φ: C23/C2C22 ⊆ Aut C601204C60.214C2^3480,1145
C60.215C23 = C3×D48D10φ: C23/C2C22 ⊆ Aut C601204C60.215C2^3480,1146
C60.216C23 = C3×D4.10D10φ: C23/C2C22 ⊆ Aut C602404C60.216C2^3480,1147
C60.217C23 = C5×S3×D8φ: C23/C2C22 ⊆ Aut C601204C60.217C2^3480,789
C60.218C23 = C5×D8⋊S3φ: C23/C2C22 ⊆ Aut C601204C60.218C2^3480,790
C60.219C23 = C5×D83S3φ: C23/C2C22 ⊆ Aut C602404C60.219C2^3480,791
C60.220C23 = C5×S3×SD16φ: C23/C2C22 ⊆ Aut C601204C60.220C2^3480,792
C60.221C23 = C5×Q83D6φ: C23/C2C22 ⊆ Aut C601204C60.221C2^3480,793
C60.222C23 = C5×D4.D6φ: C23/C2C22 ⊆ Aut C602404C60.222C2^3480,794
C60.223C23 = C5×Q8.7D6φ: C23/C2C22 ⊆ Aut C602404C60.223C2^3480,795
C60.224C23 = C5×S3×Q16φ: C23/C2C22 ⊆ Aut C602404C60.224C2^3480,796
C60.225C23 = C5×Q16⋊S3φ: C23/C2C22 ⊆ Aut C602404C60.225C2^3480,797
C60.226C23 = C5×D24⋊C2φ: C23/C2C22 ⊆ Aut C602404C60.226C2^3480,798
C60.227C23 = C10×D4⋊S3φ: C23/C2C22 ⊆ Aut C60240C60.227C2^3480,810
C60.228C23 = C5×D126C22φ: C23/C2C22 ⊆ Aut C601204C60.228C2^3480,811
C60.229C23 = C10×D4.S3φ: C23/C2C22 ⊆ Aut C60240C60.229C2^3480,812
C60.230C23 = C10×Q82S3φ: C23/C2C22 ⊆ Aut C60240C60.230C2^3480,820
C60.231C23 = C5×Q8.11D6φ: C23/C2C22 ⊆ Aut C602404C60.231C2^3480,821
C60.232C23 = C10×C3⋊Q16φ: C23/C2C22 ⊆ Aut C60480C60.232C2^3480,822
C60.233C23 = C5×D4⋊D6φ: C23/C2C22 ⊆ Aut C601204C60.233C2^3480,828
C60.234C23 = C5×Q8.13D6φ: C23/C2C22 ⊆ Aut C602404C60.234C2^3480,829
C60.235C23 = C5×Q8.14D6φ: C23/C2C22 ⊆ Aut C602404C60.235C2^3480,830
C60.236C23 = C10×D42S3φ: C23/C2C22 ⊆ Aut C60240C60.236C2^3480,1155
C60.237C23 = C5×D46D6φ: C23/C2C22 ⊆ Aut C601204C60.237C2^3480,1156
C60.238C23 = S3×Q8×C10φ: C23/C2C22 ⊆ Aut C60240C60.238C2^3480,1157
C60.239C23 = C10×Q83S3φ: C23/C2C22 ⊆ Aut C60240C60.239C2^3480,1158
C60.240C23 = C5×Q8.15D6φ: C23/C2C22 ⊆ Aut C602404C60.240C2^3480,1159
C60.241C23 = C5×S3×C4○D4φ: C23/C2C22 ⊆ Aut C601204C60.241C2^3480,1160
C60.242C23 = C5×D4○D12φ: C23/C2C22 ⊆ Aut C601204C60.242C2^3480,1161
C60.243C23 = C5×Q8○D12φ: C23/C2C22 ⊆ Aut C602404C60.243C2^3480,1162
C60.244C23 = C2×C24⋊D5φ: C23/C22C2 ⊆ Aut C60240C60.244C2^3480,867
C60.245C23 = C2×D120φ: C23/C22C2 ⊆ Aut C60240C60.245C2^3480,868
C60.246C23 = C40.69D6φ: C23/C22C2 ⊆ Aut C602402C60.246C2^3480,869
C60.247C23 = C2×Dic60φ: C23/C22C2 ⊆ Aut C60480C60.247C2^3480,870
C60.248C23 = C8⋊D30φ: C23/C22C2 ⊆ Aut C601204+C60.248C2^3480,873
C60.249C23 = C8.D30φ: C23/C22C2 ⊆ Aut C602404-C60.249C2^3480,874
C60.250C23 = C22×Dic30φ: C23/C22C2 ⊆ Aut C60480C60.250C2^3480,1165
C60.251C23 = C2×D6011C2φ: C23/C22C2 ⊆ Aut C60240C60.251C2^3480,1168
C60.252C23 = C2×C8×D15φ: C23/C22C2 ⊆ Aut C60240C60.252C2^3480,864
C60.253C23 = C2×C40⋊S3φ: C23/C22C2 ⊆ Aut C60240C60.253C2^3480,865
C60.254C23 = D60.6C4φ: C23/C22C2 ⊆ Aut C602402C60.254C2^3480,866
C60.255C23 = M4(2)×D15φ: C23/C22C2 ⊆ Aut C601204C60.255C2^3480,871
C60.256C23 = D60.3C4φ: C23/C22C2 ⊆ Aut C602404C60.256C2^3480,872
C60.257C23 = C22×C153C8φ: C23/C22C2 ⊆ Aut C60480C60.257C2^3480,885
C60.258C23 = C2×C60.7C4φ: C23/C22C2 ⊆ Aut C60240C60.258C2^3480,886
C60.259C23 = D4.Dic15φ: C23/C22C2 ⊆ Aut C602404C60.259C2^3480,913
C60.260C23 = C6×C40⋊C2φ: C23/C22C2 ⊆ Aut C60240C60.260C2^3480,695
C60.261C23 = C6×D40φ: C23/C22C2 ⊆ Aut C60240C60.261C2^3480,696
C60.262C23 = C3×D407C2φ: C23/C22C2 ⊆ Aut C602402C60.262C2^3480,697
C60.263C23 = C6×Dic20φ: C23/C22C2 ⊆ Aut C60480C60.263C2^3480,698
C60.264C23 = C3×C8⋊D10φ: C23/C22C2 ⊆ Aut C601204C60.264C2^3480,701
C60.265C23 = C3×C8.D10φ: C23/C22C2 ⊆ Aut C602404C60.265C2^3480,702
C60.266C23 = C2×C6×Dic10φ: C23/C22C2 ⊆ Aut C60480C60.266C2^3480,1135
C60.267C23 = C10×C24⋊C2φ: C23/C22C2 ⊆ Aut C60240C60.267C2^3480,781
C60.268C23 = C10×D24φ: C23/C22C2 ⊆ Aut C60240C60.268C2^3480,782
C60.269C23 = C5×C4○D24φ: C23/C22C2 ⊆ Aut C602402C60.269C2^3480,783
C60.270C23 = C10×Dic12φ: C23/C22C2 ⊆ Aut C60480C60.270C2^3480,784
C60.271C23 = C5×C8⋊D6φ: C23/C22C2 ⊆ Aut C601204C60.271C2^3480,787
C60.272C23 = C5×C8.D6φ: C23/C22C2 ⊆ Aut C602404C60.272C2^3480,788
C60.273C23 = C2×C10×Dic6φ: C23/C22C2 ⊆ Aut C60480C60.273C2^3480,1150
C60.274C23 = D5×C2×C24φ: C23/C22C2 ⊆ Aut C60240C60.274C2^3480,692
C60.275C23 = C6×C8⋊D5φ: C23/C22C2 ⊆ Aut C60240C60.275C2^3480,693
C60.276C23 = C3×D20.3C4φ: C23/C22C2 ⊆ Aut C602402C60.276C2^3480,694
C60.277C23 = C3×D5×M4(2)φ: C23/C22C2 ⊆ Aut C601204C60.277C2^3480,699
C60.278C23 = C3×D20.2C4φ: C23/C22C2 ⊆ Aut C602404C60.278C2^3480,700
C60.279C23 = C2×C6×C52C8φ: C23/C22C2 ⊆ Aut C60480C60.279C2^3480,713
C60.280C23 = C6×C4.Dic5φ: C23/C22C2 ⊆ Aut C60240C60.280C2^3480,714
C60.281C23 = C3×D4.Dic5φ: C23/C22C2 ⊆ Aut C602404C60.281C2^3480,741
C60.282C23 = C6×C4○D20φ: C23/C22C2 ⊆ Aut C60240C60.282C2^3480,1138
C60.283C23 = S3×C2×C40φ: C23/C22C2 ⊆ Aut C60240C60.283C2^3480,778
C60.284C23 = C10×C8⋊S3φ: C23/C22C2 ⊆ Aut C60240C60.284C2^3480,779
C60.285C23 = C5×C8○D12φ: C23/C22C2 ⊆ Aut C602402C60.285C2^3480,780
C60.286C23 = C5×S3×M4(2)φ: C23/C22C2 ⊆ Aut C601204C60.286C2^3480,785
C60.287C23 = C5×D12.C4φ: C23/C22C2 ⊆ Aut C602404C60.287C2^3480,786
C60.288C23 = C2×C10×C3⋊C8φ: C23/C22C2 ⊆ Aut C60480C60.288C2^3480,799
C60.289C23 = C10×C4.Dic3φ: C23/C22C2 ⊆ Aut C60240C60.289C2^3480,800
C60.290C23 = C5×D4.Dic3φ: C23/C22C2 ⊆ Aut C602404C60.290C2^3480,827
C60.291C23 = C10×C4○D12φ: C23/C22C2 ⊆ Aut C60240C60.291C2^3480,1153
C60.292C23 = D8×C30φ: C23/C22C2 ⊆ Aut C60240C60.292C2^3480,937
C60.293C23 = SD16×C30φ: C23/C22C2 ⊆ Aut C60240C60.293C2^3480,938
C60.294C23 = Q16×C30φ: C23/C22C2 ⊆ Aut C60480C60.294C2^3480,939
C60.295C23 = C15×C4○D8φ: C23/C22C2 ⊆ Aut C602402C60.295C2^3480,940
C60.296C23 = C15×C8⋊C22φ: C23/C22C2 ⊆ Aut C601204C60.296C2^3480,941
C60.297C23 = C15×C8.C22φ: C23/C22C2 ⊆ Aut C602404C60.297C2^3480,942
C60.298C23 = Q8×C2×C30φ: C23/C22C2 ⊆ Aut C60480C60.298C2^3480,1182
C60.299C23 = C15×2+ 1+4φ: C23/C22C2 ⊆ Aut C601204C60.299C2^3480,1184
C60.300C23 = C15×2- 1+4φ: C23/C22C2 ⊆ Aut C602404C60.300C2^3480,1185
C60.301C23 = M4(2)×C30central extension (φ=1)240C60.301C2^3480,935
C60.302C23 = C15×C8○D4central extension (φ=1)2402C60.302C2^3480,936
C60.303C23 = C4○D4×C30central extension (φ=1)240C60.303C2^3480,1183

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