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Extensions 1→N→G→Q→1 with N=C40 and Q=D6

Direct product G=N×Q with N=C40 and Q=D6
dρLabelID
S3×C2×C40240S3xC2xC40480,778

Semidirect products G=N:Q with N=C40 and Q=D6
extensionφ:Q→Aut NdρLabelID
C40⋊1D6 = C40⋊1D6φ: D6/C3 → C22 ⊆ Aut C401204+C40:1D6480,329
C40⋊2D6 = D40⋊S3φ: D6/C3 → C22 ⊆ Aut C401204C40:2D6480,330
C40⋊3D6 = C8⋊D30φ: D6/C3 → C22 ⊆ Aut C401204+C40:3D6480,873
C40⋊4D6 = D5×D24φ: D6/C3 → C22 ⊆ Aut C401204+C40:4D6480,324
C40⋊5D6 = C40⋊5D6φ: D6/C3 → C22 ⊆ Aut C401204C40:5D6480,332
C40⋊6D6 = D8×D15φ: D6/C3 → C22 ⊆ Aut C401204+C40:6D6480,875
C40⋊7D6 = C24⋊D10φ: D6/C3 → C22 ⊆ Aut C401204+C40:7D6480,325
C40⋊8D6 = C40⋊8D6φ: D6/C3 → C22 ⊆ Aut C401204C40:8D6480,334
C40⋊9D6 = Q8⋊3D30φ: D6/C3 → C22 ⊆ Aut C401204+C40:9D6480,879
C40⋊10D6 = D24⋊D5φ: D6/C3 → C22 ⊆ Aut C401204C40:10D6480,326
C40⋊11D6 = D24⋊6D5φ: D6/C3 → C22 ⊆ Aut C401204C40:11D6480,333
C40⋊12D6 = D8⋊D15φ: D6/C3 → C22 ⊆ Aut C401204C40:12D6480,876
C40⋊13D6 = D5×C24⋊C2φ: D6/C3 → C22 ⊆ Aut C401204C40:13D6480,323
C40⋊14D6 = C40⋊14D6φ: D6/C3 → C22 ⊆ Aut C401204C40:14D6480,331
C40⋊15D6 = SD16×D15φ: D6/C3 → C22 ⊆ Aut C401204C40:15D6480,878
C40⋊16D6 = D5×C8⋊S3φ: D6/C3 → C22 ⊆ Aut C401204C40:16D6480,320
C40⋊17D6 = C40⋊D6φ: D6/C3 → C22 ⊆ Aut C401204C40:17D6480,322
C40⋊18D6 = M4(2)×D15φ: D6/C3 → C22 ⊆ Aut C401204C40:18D6480,871
C40⋊19D6 = C5×C8⋊D6φ: D6/C3 → C22 ⊆ Aut C401204C40:19D6480,787
C40⋊20D6 = C5×D8⋊S3φ: D6/C3 → C22 ⊆ Aut C401204C40:20D6480,790
C40⋊21D6 = C5×Q8⋊3D6φ: D6/C3 → C22 ⊆ Aut C401204C40:21D6480,793
C40⋊22D6 = S3×D40φ: D6/S3 → C2 ⊆ Aut C401204+C40:22D6480,328
C40⋊23D6 = S3×C40⋊C2φ: D6/S3 → C2 ⊆ Aut C401204C40:23D6480,327
C40⋊24D6 = S3×C8×D5φ: D6/S3 → C2 ⊆ Aut C401204C40:24D6480,319
C40⋊25D6 = S3×C8⋊D5φ: D6/S3 → C2 ⊆ Aut C401204C40:25D6480,321
C40⋊26D6 = C5×S3×D8φ: D6/S3 → C2 ⊆ Aut C401204C40:26D6480,789
C40⋊27D6 = C5×S3×SD16φ: D6/S3 → C2 ⊆ Aut C401204C40:27D6480,792
C40⋊28D6 = C5×S3×M4(2)φ: D6/S3 → C2 ⊆ Aut C401204C40:28D6480,785
C40⋊29D6 = C2×D120φ: D6/C6 → C2 ⊆ Aut C40240C40:29D6480,868
C40⋊30D6 = C2×C24⋊D5φ: D6/C6 → C2 ⊆ Aut C40240C40:30D6480,867
C40⋊31D6 = C2×C8×D15φ: D6/C6 → C2 ⊆ Aut C40240C40:31D6480,864
C40⋊32D6 = C2×C40⋊S3φ: D6/C6 → C2 ⊆ Aut C40240C40:32D6480,865
C40⋊33D6 = C10×D24φ: D6/C6 → C2 ⊆ Aut C40240C40:33D6480,782
C40⋊34D6 = C10×C24⋊C2φ: D6/C6 → C2 ⊆ Aut C40240C40:34D6480,781
C40⋊35D6 = C10×C8⋊S3φ: D6/C6 → C2 ⊆ Aut C40240C40:35D6480,779

Non-split extensions G=N.Q with N=C40 and Q=D6
extensionφ:Q→Aut NdρLabelID
C40.1D6 = Dic20⋊S3φ: D6/C3 → C22 ⊆ Aut C402404C40.1D6480,339
C40.2D6 = C40.2D6φ: D6/C3 → C22 ⊆ Aut C402404-C40.2D6480,350
C40.3D6 = C8.D30φ: D6/C3 → C22 ⊆ Aut C402404-C40.3D6480,874
C40.4D6 = C15⋊D16φ: D6/C3 → C22 ⊆ Aut C402404C40.4D6480,13
C40.5D6 = C5⋊D48φ: D6/C3 → C22 ⊆ Aut C402404+C40.5D6480,15
C40.6D6 = C40.D6φ: D6/C3 → C22 ⊆ Aut C402404C40.6D6480,16
C40.7D6 = C15⋊SD32φ: D6/C3 → C22 ⊆ Aut C402404C40.7D6480,17
C40.8D6 = D24.D5φ: D6/C3 → C22 ⊆ Aut C402404-C40.8D6480,20
C40.9D6 = Dic12⋊D5φ: D6/C3 → C22 ⊆ Aut C402404+C40.9D6480,21
C40.10D6 = C15⋊Q32φ: D6/C3 → C22 ⊆ Aut C404804C40.10D6480,22
C40.11D6 = C5⋊Dic24φ: D6/C3 → C22 ⊆ Aut C404804-C40.11D6480,24
C40.12D6 = C15⋊7D16φ: D6/C3 → C22 ⊆ Aut C402404+C40.12D6480,186
C40.13D6 = D8.D15φ: D6/C3 → C22 ⊆ Aut C402404-C40.13D6480,187
C40.14D6 = C8.6D30φ: D6/C3 → C22 ⊆ Aut C402404+C40.14D6480,188
C40.15D6 = C15⋊7Q32φ: D6/C3 → C22 ⊆ Aut C404804-C40.15D6480,189
C40.16D6 = D5×Dic12φ: D6/C3 → C22 ⊆ Aut C402404-C40.16D6480,335
C40.17D6 = Dic10.D6φ: D6/C3 → C22 ⊆ Aut C402404C40.17D6480,340
C40.18D6 = D24⋊7D5φ: D6/C3 → C22 ⊆ Aut C402404-C40.18D6480,346
C40.19D6 = D120⋊C2φ: D6/C3 → C22 ⊆ Aut C402404+C40.19D6480,347
C40.20D6 = D40⋊5S3φ: D6/C3 → C22 ⊆ Aut C402404C40.20D6480,353
C40.21D6 = D24⋊5D5φ: D6/C3 → C22 ⊆ Aut C402404C40.21D6480,355
C40.22D6 = D8⋊3D15φ: D6/C3 → C22 ⊆ Aut C402404-C40.22D6480,877
C40.23D6 = Q16×D15φ: D6/C3 → C22 ⊆ Aut C402404-C40.23D6480,882
C40.24D6 = D120⋊8C2φ: D6/C3 → C22 ⊆ Aut C402404+C40.24D6480,884
C40.25D6 = Dic60⋊C2φ: D6/C3 → C22 ⊆ Aut C402404-C40.25D6480,336
C40.26D6 = D30.4D4φ: D6/C3 → C22 ⊆ Aut C402404C40.26D6480,356
C40.27D6 = SD16⋊D15φ: D6/C3 → C22 ⊆ Aut C402404-C40.27D6480,880
C40.28D6 = C24.2D10φ: D6/C3 → C22 ⊆ Aut C402404C40.28D6480,337
C40.29D6 = D30.3D4φ: D6/C3 → C22 ⊆ Aut C402404C40.29D6480,354
C40.30D6 = Q16⋊D15φ: D6/C3 → C22 ⊆ Aut C402404C40.30D6480,883
C40.31D6 = C40.31D6φ: D6/C3 → C22 ⊆ Aut C402404C40.31D6480,345
C40.32D6 = Dic6.D10φ: D6/C3 → C22 ⊆ Aut C402404C40.32D6480,352
C40.33D6 = D4.5D30φ: D6/C3 → C22 ⊆ Aut C402404C40.33D6480,881
C40.34D6 = C40.34D6φ: D6/C3 → C22 ⊆ Aut C402404C40.34D6480,342
C40.35D6 = C40.35D6φ: D6/C3 → C22 ⊆ Aut C402404C40.35D6480,344
C40.36D6 = D60.3C4φ: D6/C3 → C22 ⊆ Aut C402404C40.36D6480,872
C40.37D6 = C5×C8.D6φ: D6/C3 → C22 ⊆ Aut C402404C40.37D6480,788
C40.38D6 = C5×D4.D6φ: D6/C3 → C22 ⊆ Aut C402404C40.38D6480,794
C40.39D6 = C5×Q16⋊S3φ: D6/C3 → C22 ⊆ Aut C402404C40.39D6480,797
C40.40D6 = C3⋊D80φ: D6/S3 → C2 ⊆ Aut C402404+C40.40D6480,14
C40.41D6 = D40.S3φ: D6/S3 → C2 ⊆ Aut C402404-C40.41D6480,18
C40.42D6 = C24.D10φ: D6/S3 → C2 ⊆ Aut C402404+C40.42D6480,19
C40.43D6 = C3⋊Dic40φ: D6/S3 → C2 ⊆ Aut C404804-C40.43D6480,23
C40.44D6 = S3×Dic20φ: D6/S3 → C2 ⊆ Aut C402404-C40.44D6480,338
C40.45D6 = D40⋊7S3φ: D6/S3 → C2 ⊆ Aut C402404-C40.45D6480,349
C40.46D6 = D120⋊5C2φ: D6/S3 → C2 ⊆ Aut C402404+C40.46D6480,351
C40.47D6 = D6.1D20φ: D6/S3 → C2 ⊆ Aut C402404C40.47D6480,348
C40.48D6 = D5×C3⋊C16φ: D6/S3 → C2 ⊆ Aut C402404C40.48D6480,7
C40.49D6 = S3×C5⋊2C16φ: D6/S3 → C2 ⊆ Aut C402404C40.49D6480,8
C40.50D6 = D15⋊2C16φ: D6/S3 → C2 ⊆ Aut C402404C40.50D6480,9
C40.51D6 = C40.51D6φ: D6/S3 → C2 ⊆ Aut C402404C40.51D6480,10
C40.52D6 = C40.52D6φ: D6/S3 → C2 ⊆ Aut C402404C40.52D6480,11
C40.53D6 = D30.5C8φ: D6/S3 → C2 ⊆ Aut C402404C40.53D6480,12
C40.54D6 = C40.54D6φ: D6/S3 → C2 ⊆ Aut C402404C40.54D6480,341
C40.55D6 = C40.55D6φ: D6/S3 → C2 ⊆ Aut C402404C40.55D6480,343
C40.56D6 = C5×C3⋊D16φ: D6/S3 → C2 ⊆ Aut C402404C40.56D6480,145
C40.57D6 = C5×D8.S3φ: D6/S3 → C2 ⊆ Aut C402404C40.57D6480,146
C40.58D6 = C5×C8.6D6φ: D6/S3 → C2 ⊆ Aut C402404C40.58D6480,147
C40.59D6 = C5×C3⋊Q32φ: D6/S3 → C2 ⊆ Aut C404804C40.59D6480,148
C40.60D6 = C5×D8⋊3S3φ: D6/S3 → C2 ⊆ Aut C402404C40.60D6480,791
C40.61D6 = C5×S3×Q16φ: D6/S3 → C2 ⊆ Aut C402404C40.61D6480,796
C40.62D6 = C5×D24⋊C2φ: D6/S3 → C2 ⊆ Aut C402404C40.62D6480,798
C40.63D6 = C5×Q8.7D6φ: D6/S3 → C2 ⊆ Aut C402404C40.63D6480,795
C40.64D6 = C5×D12.C4φ: D6/S3 → C2 ⊆ Aut C402404C40.64D6480,786
C40.65D6 = D240φ: D6/C6 → C2 ⊆ Aut C402402+C40.65D6480,159
C40.66D6 = C48⋊D5φ: D6/C6 → C2 ⊆ Aut C402402C40.66D6480,160
C40.67D6 = Dic120φ: D6/C6 → C2 ⊆ Aut C404802-C40.67D6480,161
C40.68D6 = C2×Dic60φ: D6/C6 → C2 ⊆ Aut C40480C40.68D6480,870
C40.69D6 = C40.69D6φ: D6/C6 → C2 ⊆ Aut C402402C40.69D6480,869
C40.70D6 = C16×D15φ: D6/C6 → C2 ⊆ Aut C402402C40.70D6480,157
C40.71D6 = C80⋊S3φ: D6/C6 → C2 ⊆ Aut C402402C40.71D6480,158
C40.72D6 = C2×C15⋊3C16φ: D6/C6 → C2 ⊆ Aut C40480C40.72D6480,171
C40.73D6 = C60.7C8φ: D6/C6 → C2 ⊆ Aut C402402C40.73D6480,172
C40.74D6 = D60.6C4φ: D6/C6 → C2 ⊆ Aut C402402C40.74D6480,866
C40.75D6 = C5×D48φ: D6/C6 → C2 ⊆ Aut C402402C40.75D6480,118
C40.76D6 = C5×C48⋊C2φ: D6/C6 → C2 ⊆ Aut C402402C40.76D6480,119
C40.77D6 = C5×Dic24φ: D6/C6 → C2 ⊆ Aut C404802C40.77D6480,120
C40.78D6 = C5×C4○D24φ: D6/C6 → C2 ⊆ Aut C402402C40.78D6480,783
C40.79D6 = C10×Dic12φ: D6/C6 → C2 ⊆ Aut C40480C40.79D6480,784
C40.80D6 = S3×C80central extension (φ=1)2402C40.80D6480,116
C40.81D6 = C5×D6.C8central extension (φ=1)2402C40.81D6480,117
C40.82D6 = C10×C3⋊C16central extension (φ=1)480C40.82D6480,130
C40.83D6 = C5×C12.C8central extension (φ=1)2402C40.83D6480,131
C40.84D6 = C5×C8○D12central extension (φ=1)2402C40.84D6480,780

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