Extensions 1→N→G→Q→1 with N=C120 and Q=C22

Direct product G=NxQ with N=C120 and Q=C22
dρLabelID
C22xC120480C2^2xC120480,934

Semidirect products G=N:Q with N=C120 and Q=C22
extensionφ:Q→Aut NdρLabelID
C120:1C22 = C8:D30φ: C22/C1C22 ⊆ Aut C1201204+C120:1C2^2480,873
C120:2C22 = S3xD40φ: C22/C1C22 ⊆ Aut C1201204+C120:2C2^2480,328
C120:3C22 = D8xD15φ: C22/C1C22 ⊆ Aut C1201204+C120:3C2^2480,875
C120:4C22 = Q8:3D30φ: C22/C1C22 ⊆ Aut C1201204+C120:4C2^2480,879
C120:5C22 = D5xD24φ: C22/C1C22 ⊆ Aut C1201204+C120:5C2^2480,324
C120:6C22 = C40:1D6φ: C22/C1C22 ⊆ Aut C1201204+C120:6C2^2480,329
C120:7C22 = C24:D10φ: C22/C1C22 ⊆ Aut C1201204+C120:7C2^2480,325
C120:8C22 = D40:S3φ: C22/C1C22 ⊆ Aut C1201204C120:8C2^2480,330
C120:9C22 = D8:D15φ: C22/C1C22 ⊆ Aut C1201204C120:9C2^2480,876
C120:10C22 = SD16xD15φ: C22/C1C22 ⊆ Aut C1201204C120:10C2^2480,878
C120:11C22 = D24:D5φ: C22/C1C22 ⊆ Aut C1201204C120:11C2^2480,326
C120:12C22 = S3xC40:C2φ: C22/C1C22 ⊆ Aut C1201204C120:12C2^2480,327
C120:13C22 = D5xC24:C2φ: C22/C1C22 ⊆ Aut C1201204C120:13C2^2480,323
C120:14C22 = C40:5D6φ: C22/C1C22 ⊆ Aut C1201204C120:14C2^2480,332
C120:15C22 = C40:8D6φ: C22/C1C22 ⊆ Aut C1201204C120:15C2^2480,334
C120:16C22 = C3xC8:D10φ: C22/C1C22 ⊆ Aut C1201204C120:16C2^2480,701
C120:17C22 = C3xD5xD8φ: C22/C1C22 ⊆ Aut C1201204C120:17C2^2480,703
C120:18C22 = C3xD40:C2φ: C22/C1C22 ⊆ Aut C1201204C120:18C2^2480,707
C120:19C22 = D24:6D5φ: C22/C1C22 ⊆ Aut C1201204C120:19C2^2480,333
C120:20C22 = C40:14D6φ: C22/C1C22 ⊆ Aut C1201204C120:20C2^2480,331
C120:21C22 = S3xC8xD5φ: C22/C1C22 ⊆ Aut C1201204C120:21C2^2480,319
C120:22C22 = D5xC8:S3φ: C22/C1C22 ⊆ Aut C1201204C120:22C2^2480,320
C120:23C22 = S3xC8:D5φ: C22/C1C22 ⊆ Aut C1201204C120:23C2^2480,321
C120:24C22 = C40:D6φ: C22/C1C22 ⊆ Aut C1201204C120:24C2^2480,322
C120:25C22 = M4(2)xD15φ: C22/C1C22 ⊆ Aut C1201204C120:25C2^2480,871
C120:26C22 = C5xC8:D6φ: C22/C1C22 ⊆ Aut C1201204C120:26C2^2480,787
C120:27C22 = C5xS3xD8φ: C22/C1C22 ⊆ Aut C1201204C120:27C2^2480,789
C120:28C22 = C5xQ8:3D6φ: C22/C1C22 ⊆ Aut C1201204C120:28C2^2480,793
C120:29C22 = C3xD8:D5φ: C22/C1C22 ⊆ Aut C1201204C120:29C2^2480,704
C120:30C22 = C3xD5xSD16φ: C22/C1C22 ⊆ Aut C1201204C120:30C2^2480,706
C120:31C22 = C5xD8:S3φ: C22/C1C22 ⊆ Aut C1201204C120:31C2^2480,790
C120:32C22 = C5xS3xSD16φ: C22/C1C22 ⊆ Aut C1201204C120:32C2^2480,792
C120:33C22 = C3xD5xM4(2)φ: C22/C1C22 ⊆ Aut C1201204C120:33C2^2480,699
C120:34C22 = C15xC8:C22φ: C22/C1C22 ⊆ Aut C1201204C120:34C2^2480,941
C120:35C22 = C5xS3xM4(2)φ: C22/C1C22 ⊆ Aut C1201204C120:35C2^2480,785
C120:36C22 = C2xD120φ: C22/C2C2 ⊆ Aut C120240C120:36C2^2480,868
C120:37C22 = C2xC24:D5φ: C22/C2C2 ⊆ Aut C120240C120:37C2^2480,867
C120:38C22 = C6xD40φ: C22/C2C2 ⊆ Aut C120240C120:38C2^2480,696
C120:39C22 = C2xC8xD15φ: C22/C2C2 ⊆ Aut C120240C120:39C2^2480,864
C120:40C22 = C2xC40:S3φ: C22/C2C2 ⊆ Aut C120240C120:40C2^2480,865
C120:41C22 = C10xD24φ: C22/C2C2 ⊆ Aut C120240C120:41C2^2480,782
C120:42C22 = C6xC40:C2φ: C22/C2C2 ⊆ Aut C120240C120:42C2^2480,695
C120:43C22 = C10xC24:C2φ: C22/C2C2 ⊆ Aut C120240C120:43C2^2480,781
C120:44C22 = D5xC2xC24φ: C22/C2C2 ⊆ Aut C120240C120:44C2^2480,692
C120:45C22 = C6xC8:D5φ: C22/C2C2 ⊆ Aut C120240C120:45C2^2480,693
C120:46C22 = D8xC30φ: C22/C2C2 ⊆ Aut C120240C120:46C2^2480,937
C120:47C22 = S3xC2xC40φ: C22/C2C2 ⊆ Aut C120240C120:47C2^2480,778
C120:48C22 = C10xC8:S3φ: C22/C2C2 ⊆ Aut C120240C120:48C2^2480,779
C120:49C22 = SD16xC30φ: C22/C2C2 ⊆ Aut C120240C120:49C2^2480,938
C120:50C22 = M4(2)xC30φ: C22/C2C2 ⊆ Aut C120240C120:50C2^2480,935

Non-split extensions G=N.Q with N=C120 and Q=C22
extensionφ:Q→Aut NdρLabelID
C120.1C22 = C8.D30φ: C22/C1C22 ⊆ Aut C1202404-C120.1C2^2480,874
C120.2C22 = C3:D80φ: C22/C1C22 ⊆ Aut C1202404+C120.2C2^2480,14
C120.3C22 = D40.S3φ: C22/C1C22 ⊆ Aut C1202404-C120.3C2^2480,18
C120.4C22 = C24.D10φ: C22/C1C22 ⊆ Aut C1202404+C120.4C2^2480,19
C120.5C22 = C3:Dic40φ: C22/C1C22 ⊆ Aut C1204804-C120.5C2^2480,23
C120.6C22 = S3xDic20φ: C22/C1C22 ⊆ Aut C1202404-C120.6C2^2480,338
C120.7C22 = D40:7S3φ: C22/C1C22 ⊆ Aut C1202404-C120.7C2^2480,349
C120.8C22 = D120:5C2φ: C22/C1C22 ⊆ Aut C1202404+C120.8C2^2480,351
C120.9C22 = C15:7D16φ: C22/C1C22 ⊆ Aut C1202404+C120.9C2^2480,186
C120.10C22 = D8.D15φ: C22/C1C22 ⊆ Aut C1202404-C120.10C2^2480,187
C120.11C22 = C8.6D30φ: C22/C1C22 ⊆ Aut C1202404+C120.11C2^2480,188
C120.12C22 = C15:7Q32φ: C22/C1C22 ⊆ Aut C1204804-C120.12C2^2480,189
C120.13C22 = D8:3D15φ: C22/C1C22 ⊆ Aut C1202404-C120.13C2^2480,877
C120.14C22 = Q16xD15φ: C22/C1C22 ⊆ Aut C1202404-C120.14C2^2480,882
C120.15C22 = D120:8C2φ: C22/C1C22 ⊆ Aut C1202404+C120.15C2^2480,884
C120.16C22 = SD16:D15φ: C22/C1C22 ⊆ Aut C1202404-C120.16C2^2480,880
C120.17C22 = C5:D48φ: C22/C1C22 ⊆ Aut C1202404+C120.17C2^2480,15
C120.18C22 = D24.D5φ: C22/C1C22 ⊆ Aut C1202404-C120.18C2^2480,20
C120.19C22 = Dic12:D5φ: C22/C1C22 ⊆ Aut C1202404+C120.19C2^2480,21
C120.20C22 = C5:Dic24φ: C22/C1C22 ⊆ Aut C1204804-C120.20C2^2480,24
C120.21C22 = D5xDic12φ: C22/C1C22 ⊆ Aut C1202404-C120.21C2^2480,335
C120.22C22 = D24:7D5φ: C22/C1C22 ⊆ Aut C1202404-C120.22C2^2480,346
C120.23C22 = D120:C2φ: C22/C1C22 ⊆ Aut C1202404+C120.23C2^2480,347
C120.24C22 = C40.2D6φ: C22/C1C22 ⊆ Aut C1202404-C120.24C2^2480,350
C120.25C22 = Dic60:C2φ: C22/C1C22 ⊆ Aut C1202404-C120.25C2^2480,336
C120.26C22 = Dic20:S3φ: C22/C1C22 ⊆ Aut C1202404C120.26C2^2480,339
C120.27C22 = Q16:D15φ: C22/C1C22 ⊆ Aut C1202404C120.27C2^2480,883
C120.28C22 = D4.5D30φ: C22/C1C22 ⊆ Aut C1202404C120.28C2^2480,881
C120.29C22 = C24.2D10φ: C22/C1C22 ⊆ Aut C1202404C120.29C2^2480,337
C120.30C22 = D6.1D20φ: C22/C1C22 ⊆ Aut C1202404C120.30C2^2480,348
C120.31C22 = C40.31D6φ: C22/C1C22 ⊆ Aut C1202404C120.31C2^2480,345
C120.32C22 = C15:D16φ: C22/C1C22 ⊆ Aut C1202404C120.32C2^2480,13
C120.33C22 = C40.D6φ: C22/C1C22 ⊆ Aut C1202404C120.33C2^2480,16
C120.34C22 = C15:SD32φ: C22/C1C22 ⊆ Aut C1202404C120.34C2^2480,17
C120.35C22 = C15:Q32φ: C22/C1C22 ⊆ Aut C1204804C120.35C2^2480,22
C120.36C22 = Dic10.D6φ: C22/C1C22 ⊆ Aut C1202404C120.36C2^2480,340
C120.37C22 = D40:5S3φ: C22/C1C22 ⊆ Aut C1202404C120.37C2^2480,353
C120.38C22 = D24:5D5φ: C22/C1C22 ⊆ Aut C1202404C120.38C2^2480,355
C120.39C22 = D30.4D4φ: C22/C1C22 ⊆ Aut C1202404C120.39C2^2480,356
C120.40C22 = C3xC8.D10φ: C22/C1C22 ⊆ Aut C1202404C120.40C2^2480,702
C120.41C22 = C3xC5:D16φ: C22/C1C22 ⊆ Aut C1202404C120.41C2^2480,104
C120.42C22 = C3xD8.D5φ: C22/C1C22 ⊆ Aut C1202404C120.42C2^2480,105
C120.43C22 = C3xC5:SD32φ: C22/C1C22 ⊆ Aut C1202404C120.43C2^2480,106
C120.44C22 = C3xC5:Q32φ: C22/C1C22 ⊆ Aut C1204804C120.44C2^2480,107
C120.45C22 = C3xD8:3D5φ: C22/C1C22 ⊆ Aut C1202404C120.45C2^2480,705
C120.46C22 = C3xD5xQ16φ: C22/C1C22 ⊆ Aut C1202404C120.46C2^2480,710
C120.47C22 = C3xQ8.D10φ: C22/C1C22 ⊆ Aut C1202404C120.47C2^2480,712
C120.48C22 = C3xSD16:D5φ: C22/C1C22 ⊆ Aut C1202404C120.48C2^2480,708
C120.49C22 = D30.3D4φ: C22/C1C22 ⊆ Aut C1202404C120.49C2^2480,354
C120.50C22 = Dic6.D10φ: C22/C1C22 ⊆ Aut C1202404C120.50C2^2480,352
C120.51C22 = D5xC3:C16φ: C22/C1C22 ⊆ Aut C1202404C120.51C2^2480,7
C120.52C22 = S3xC5:2C16φ: C22/C1C22 ⊆ Aut C1202404C120.52C2^2480,8
C120.53C22 = D15:2C16φ: C22/C1C22 ⊆ Aut C1202404C120.53C2^2480,9
C120.54C22 = C40.51D6φ: C22/C1C22 ⊆ Aut C1202404C120.54C2^2480,10
C120.55C22 = C40.52D6φ: C22/C1C22 ⊆ Aut C1202404C120.55C2^2480,11
C120.56C22 = D30.5C8φ: C22/C1C22 ⊆ Aut C1202404C120.56C2^2480,12
C120.57C22 = C40.54D6φ: C22/C1C22 ⊆ Aut C1202404C120.57C2^2480,341
C120.58C22 = C40.34D6φ: C22/C1C22 ⊆ Aut C1202404C120.58C2^2480,342
C120.59C22 = C40.55D6φ: C22/C1C22 ⊆ Aut C1202404C120.59C2^2480,343
C120.60C22 = C40.35D6φ: C22/C1C22 ⊆ Aut C1202404C120.60C2^2480,344
C120.61C22 = D60.3C4φ: C22/C1C22 ⊆ Aut C1202404C120.61C2^2480,872
C120.62C22 = C5xC8.D6φ: C22/C1C22 ⊆ Aut C1202404C120.62C2^2480,788
C120.63C22 = C5xC3:D16φ: C22/C1C22 ⊆ Aut C1202404C120.63C2^2480,145
C120.64C22 = C5xD8.S3φ: C22/C1C22 ⊆ Aut C1202404C120.64C2^2480,146
C120.65C22 = C5xC8.6D6φ: C22/C1C22 ⊆ Aut C1202404C120.65C2^2480,147
C120.66C22 = C5xC3:Q32φ: C22/C1C22 ⊆ Aut C1204804C120.66C2^2480,148
C120.67C22 = C5xD8:3S3φ: C22/C1C22 ⊆ Aut C1202404C120.67C2^2480,791
C120.68C22 = C5xS3xQ16φ: C22/C1C22 ⊆ Aut C1202404C120.68C2^2480,796
C120.69C22 = C5xD24:C2φ: C22/C1C22 ⊆ Aut C1202404C120.69C2^2480,798
C120.70C22 = C5xD4.D6φ: C22/C1C22 ⊆ Aut C1202404C120.70C2^2480,794
C120.71C22 = C3xQ16:D5φ: C22/C1C22 ⊆ Aut C1202404C120.71C2^2480,711
C120.72C22 = C3xSD16:3D5φ: C22/C1C22 ⊆ Aut C1202404C120.72C2^2480,709
C120.73C22 = C5xQ16:S3φ: C22/C1C22 ⊆ Aut C1202404C120.73C2^2480,797
C120.74C22 = C5xQ8.7D6φ: C22/C1C22 ⊆ Aut C1202404C120.74C2^2480,795
C120.75C22 = C3xD20.2C4φ: C22/C1C22 ⊆ Aut C1202404C120.75C2^2480,700
C120.76C22 = C15xC8.C22φ: C22/C1C22 ⊆ Aut C1202404C120.76C2^2480,942
C120.77C22 = C5xD12.C4φ: C22/C1C22 ⊆ Aut C1202404C120.77C2^2480,786
C120.78C22 = D240φ: C22/C2C2 ⊆ Aut C1202402+C120.78C2^2480,159
C120.79C22 = C48:D5φ: C22/C2C2 ⊆ Aut C1202402C120.79C2^2480,160
C120.80C22 = Dic120φ: C22/C2C2 ⊆ Aut C1204802-C120.80C2^2480,161
C120.81C22 = C40.69D6φ: C22/C2C2 ⊆ Aut C1202402C120.81C2^2480,869
C120.82C22 = C2xDic60φ: C22/C2C2 ⊆ Aut C120480C120.82C2^2480,870
C120.83C22 = C3xD80φ: C22/C2C2 ⊆ Aut C1202402C120.83C2^2480,77
C120.84C22 = C3xC16:D5φ: C22/C2C2 ⊆ Aut C1202402C120.84C2^2480,78
C120.85C22 = C3xDic40φ: C22/C2C2 ⊆ Aut C1204802C120.85C2^2480,79
C120.86C22 = C3xD40:7C2φ: C22/C2C2 ⊆ Aut C1202402C120.86C2^2480,697
C120.87C22 = C6xDic20φ: C22/C2C2 ⊆ Aut C120480C120.87C2^2480,698
C120.88C22 = C16xD15φ: C22/C2C2 ⊆ Aut C1202402C120.88C2^2480,157
C120.89C22 = C80:S3φ: C22/C2C2 ⊆ Aut C1202402C120.89C2^2480,158
C120.90C22 = C2xC15:3C16φ: C22/C2C2 ⊆ Aut C120480C120.90C2^2480,171
C120.91C22 = C60.7C8φ: C22/C2C2 ⊆ Aut C1202402C120.91C2^2480,172
C120.92C22 = D60.6C4φ: C22/C2C2 ⊆ Aut C1202402C120.92C2^2480,866
C120.93C22 = C5xD48φ: C22/C2C2 ⊆ Aut C1202402C120.93C2^2480,118
C120.94C22 = C5xC48:C2φ: C22/C2C2 ⊆ Aut C1202402C120.94C2^2480,119
C120.95C22 = C5xDic24φ: C22/C2C2 ⊆ Aut C1204802C120.95C2^2480,120
C120.96C22 = C5xC4oD24φ: C22/C2C2 ⊆ Aut C1202402C120.96C2^2480,783
C120.97C22 = C10xDic12φ: C22/C2C2 ⊆ Aut C120480C120.97C2^2480,784
C120.98C22 = D5xC48φ: C22/C2C2 ⊆ Aut C1202402C120.98C2^2480,75
C120.99C22 = C3xC80:C2φ: C22/C2C2 ⊆ Aut C1202402C120.99C2^2480,76
C120.100C22 = C6xC5:2C16φ: C22/C2C2 ⊆ Aut C120480C120.100C2^2480,89
C120.101C22 = C3xC20.4C8φ: C22/C2C2 ⊆ Aut C1202402C120.101C2^2480,90
C120.102C22 = C3xD20.3C4φ: C22/C2C2 ⊆ Aut C1202402C120.102C2^2480,694
C120.103C22 = C15xD16φ: C22/C2C2 ⊆ Aut C1202402C120.103C2^2480,214
C120.104C22 = C15xSD32φ: C22/C2C2 ⊆ Aut C1202402C120.104C2^2480,215
C120.105C22 = C15xQ32φ: C22/C2C2 ⊆ Aut C1204802C120.105C2^2480,216
C120.106C22 = Q16xC30φ: C22/C2C2 ⊆ Aut C120480C120.106C2^2480,939
C120.107C22 = S3xC80φ: C22/C2C2 ⊆ Aut C1202402C120.107C2^2480,116
C120.108C22 = C5xD6.C8φ: C22/C2C2 ⊆ Aut C1202402C120.108C2^2480,117
C120.109C22 = C10xC3:C16φ: C22/C2C2 ⊆ Aut C120480C120.109C2^2480,130
C120.110C22 = C5xC12.C8φ: C22/C2C2 ⊆ Aut C1202402C120.110C2^2480,131
C120.111C22 = C5xC8oD12φ: C22/C2C2 ⊆ Aut C1202402C120.111C2^2480,780
C120.112C22 = C15xC4oD8φ: C22/C2C2 ⊆ Aut C1202402C120.112C2^2480,940
C120.113C22 = C15xC8oD4φ: C22/C2C2 ⊆ Aut C1202402C120.113C2^2480,936
C120.114C22 = C15xM5(2)central extension (φ=1)2402C120.114C2^2480,213

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