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Extensions 1→N→G→Q→1 with N=C24 and Q=D10

Direct product G=N×Q with N=C24 and Q=D10
dρLabelID
D5×C2×C24240D5xC2xC24480,692

Semidirect products G=N:Q with N=C24 and Q=D10
extensionφ:Q→Aut NdρLabelID
C24⋊1D10 = C24⋊D10φ: D10/C5 → C22 ⊆ Aut C241204+C24:1D10480,325
C24⋊2D10 = D24⋊D5φ: D10/C5 → C22 ⊆ Aut C241204C24:2D10480,326
C24⋊3D10 = C8⋊D30φ: D10/C5 → C22 ⊆ Aut C241204+C24:3D10480,873
C24⋊4D10 = S3×D40φ: D10/C5 → C22 ⊆ Aut C241204+C24:4D10480,328
C24⋊5D10 = C40⋊5D6φ: D10/C5 → C22 ⊆ Aut C241204C24:5D10480,332
C24⋊6D10 = D8×D15φ: D10/C5 → C22 ⊆ Aut C241204+C24:6D10480,875
C24⋊7D10 = C40⋊1D6φ: D10/C5 → C22 ⊆ Aut C241204+C24:7D10480,329
C24⋊8D10 = D24⋊6D5φ: D10/C5 → C22 ⊆ Aut C241204C24:8D10480,333
C24⋊9D10 = Q8⋊3D30φ: D10/C5 → C22 ⊆ Aut C241204+C24:9D10480,879
C24⋊10D10 = D40⋊S3φ: D10/C5 → C22 ⊆ Aut C241204C24:10D10480,330
C24⋊11D10 = C40⋊8D6φ: D10/C5 → C22 ⊆ Aut C241204C24:11D10480,334
C24⋊12D10 = D8⋊D15φ: D10/C5 → C22 ⊆ Aut C241204C24:12D10480,876
C24⋊13D10 = S3×C40⋊C2φ: D10/C5 → C22 ⊆ Aut C241204C24:13D10480,327
C24⋊14D10 = C40⋊14D6φ: D10/C5 → C22 ⊆ Aut C241204C24:14D10480,331
C24⋊15D10 = SD16×D15φ: D10/C5 → C22 ⊆ Aut C241204C24:15D10480,878
C24⋊16D10 = C3×C8⋊D10φ: D10/C5 → C22 ⊆ Aut C241204C24:16D10480,701
C24⋊17D10 = C3×D8⋊D5φ: D10/C5 → C22 ⊆ Aut C241204C24:17D10480,704
C24⋊18D10 = C3×D40⋊C2φ: D10/C5 → C22 ⊆ Aut C241204C24:18D10480,707
C24⋊19D10 = S3×C8⋊D5φ: D10/C5 → C22 ⊆ Aut C241204C24:19D10480,321
C24⋊20D10 = C40⋊D6φ: D10/C5 → C22 ⊆ Aut C241204C24:20D10480,322
C24⋊21D10 = M4(2)×D15φ: D10/C5 → C22 ⊆ Aut C241204C24:21D10480,871
C24⋊22D10 = D5×D24φ: D10/D5 → C2 ⊆ Aut C241204+C24:22D10480,324
C24⋊23D10 = D5×C24⋊C2φ: D10/D5 → C2 ⊆ Aut C241204C24:23D10480,323
C24⋊24D10 = C3×D5×D8φ: D10/D5 → C2 ⊆ Aut C241204C24:24D10480,703
C24⋊25D10 = S3×C8×D5φ: D10/D5 → C2 ⊆ Aut C241204C24:25D10480,319
C24⋊26D10 = D5×C8⋊S3φ: D10/D5 → C2 ⊆ Aut C241204C24:26D10480,320
C24⋊27D10 = C3×D5×SD16φ: D10/D5 → C2 ⊆ Aut C241204C24:27D10480,706
C24⋊28D10 = C3×D5×M4(2)φ: D10/D5 → C2 ⊆ Aut C241204C24:28D10480,699
C24⋊29D10 = C2×D120φ: D10/C10 → C2 ⊆ Aut C24240C24:29D10480,868
C24⋊30D10 = C2×C24⋊D5φ: D10/C10 → C2 ⊆ Aut C24240C24:30D10480,867
C24⋊31D10 = C6×D40φ: D10/C10 → C2 ⊆ Aut C24240C24:31D10480,696
C24⋊32D10 = C2×C8×D15φ: D10/C10 → C2 ⊆ Aut C24240C24:32D10480,864
C24⋊33D10 = C2×C40⋊S3φ: D10/C10 → C2 ⊆ Aut C24240C24:33D10480,865
C24⋊34D10 = C6×C40⋊C2φ: D10/C10 → C2 ⊆ Aut C24240C24:34D10480,695
C24⋊35D10 = C6×C8⋊D5φ: D10/C10 → C2 ⊆ Aut C24240C24:35D10480,693

Non-split extensions G=N.Q with N=C24 and Q=D10
extensionφ:Q→Aut NdρLabelID
C24.1D10 = Dic60⋊C2φ: D10/C5 → C22 ⊆ Aut C242404-C24.1D10480,336
C24.2D10 = C24.2D10φ: D10/C5 → C22 ⊆ Aut C242404C24.2D10480,337
C24.3D10 = C8.D30φ: D10/C5 → C22 ⊆ Aut C242404-C24.3D10480,874
C24.4D10 = C15⋊D16φ: D10/C5 → C22 ⊆ Aut C242404C24.4D10480,13
C24.5D10 = C3⋊D80φ: D10/C5 → C22 ⊆ Aut C242404+C24.5D10480,14
C24.6D10 = C40.D6φ: D10/C5 → C22 ⊆ Aut C242404C24.6D10480,16
C24.7D10 = C15⋊SD32φ: D10/C5 → C22 ⊆ Aut C242404C24.7D10480,17
C24.8D10 = D40.S3φ: D10/C5 → C22 ⊆ Aut C242404-C24.8D10480,18
C24.9D10 = C24.D10φ: D10/C5 → C22 ⊆ Aut C242404+C24.9D10480,19
C24.10D10 = C15⋊Q32φ: D10/C5 → C22 ⊆ Aut C244804C24.10D10480,22
C24.11D10 = C3⋊Dic40φ: D10/C5 → C22 ⊆ Aut C244804-C24.11D10480,23
C24.12D10 = C15⋊7D16φ: D10/C5 → C22 ⊆ Aut C242404+C24.12D10480,186
C24.13D10 = D8.D15φ: D10/C5 → C22 ⊆ Aut C242404-C24.13D10480,187
C24.14D10 = C8.6D30φ: D10/C5 → C22 ⊆ Aut C242404+C24.14D10480,188
C24.15D10 = C15⋊7Q32φ: D10/C5 → C22 ⊆ Aut C244804-C24.15D10480,189
C24.16D10 = S3×Dic20φ: D10/C5 → C22 ⊆ Aut C242404-C24.16D10480,338
C24.17D10 = Dic10.D6φ: D10/C5 → C22 ⊆ Aut C242404C24.17D10480,340
C24.18D10 = D40⋊7S3φ: D10/C5 → C22 ⊆ Aut C242404-C24.18D10480,349
C24.19D10 = D120⋊5C2φ: D10/C5 → C22 ⊆ Aut C242404+C24.19D10480,351
C24.20D10 = D40⋊5S3φ: D10/C5 → C22 ⊆ Aut C242404C24.20D10480,353
C24.21D10 = D24⋊5D5φ: D10/C5 → C22 ⊆ Aut C242404C24.21D10480,355
C24.22D10 = D8⋊3D15φ: D10/C5 → C22 ⊆ Aut C242404-C24.22D10480,877
C24.23D10 = Q16×D15φ: D10/C5 → C22 ⊆ Aut C242404-C24.23D10480,882
C24.24D10 = D120⋊8C2φ: D10/C5 → C22 ⊆ Aut C242404+C24.24D10480,884
C24.25D10 = C40.2D6φ: D10/C5 → C22 ⊆ Aut C242404-C24.25D10480,350
C24.26D10 = D30.3D4φ: D10/C5 → C22 ⊆ Aut C242404C24.26D10480,354
C24.27D10 = SD16⋊D15φ: D10/C5 → C22 ⊆ Aut C242404-C24.27D10480,880
C24.28D10 = Dic20⋊S3φ: D10/C5 → C22 ⊆ Aut C242404C24.28D10480,339
C24.29D10 = D30.4D4φ: D10/C5 → C22 ⊆ Aut C242404C24.29D10480,356
C24.30D10 = Q16⋊D15φ: D10/C5 → C22 ⊆ Aut C242404C24.30D10480,883
C24.31D10 = D6.1D20φ: D10/C5 → C22 ⊆ Aut C242404C24.31D10480,348
C24.32D10 = Dic6.D10φ: D10/C5 → C22 ⊆ Aut C242404C24.32D10480,352
C24.33D10 = D4.5D30φ: D10/C5 → C22 ⊆ Aut C242404C24.33D10480,881
C24.34D10 = C3×C8.D10φ: D10/C5 → C22 ⊆ Aut C242404C24.34D10480,702
C24.35D10 = C3×SD16⋊D5φ: D10/C5 → C22 ⊆ Aut C242404C24.35D10480,708
C24.36D10 = C3×Q16⋊D5φ: D10/C5 → C22 ⊆ Aut C242404C24.36D10480,711
C24.37D10 = C40.55D6φ: D10/C5 → C22 ⊆ Aut C242404C24.37D10480,343
C24.38D10 = C40.35D6φ: D10/C5 → C22 ⊆ Aut C242404C24.38D10480,344
C24.39D10 = D60.3C4φ: D10/C5 → C22 ⊆ Aut C242404C24.39D10480,872
C24.40D10 = C5⋊D48φ: D10/D5 → C2 ⊆ Aut C242404+C24.40D10480,15
C24.41D10 = D24.D5φ: D10/D5 → C2 ⊆ Aut C242404-C24.41D10480,20
C24.42D10 = Dic12⋊D5φ: D10/D5 → C2 ⊆ Aut C242404+C24.42D10480,21
C24.43D10 = C5⋊Dic24φ: D10/D5 → C2 ⊆ Aut C244804-C24.43D10480,24
C24.44D10 = D5×Dic12φ: D10/D5 → C2 ⊆ Aut C242404-C24.44D10480,335
C24.45D10 = D24⋊7D5φ: D10/D5 → C2 ⊆ Aut C242404-C24.45D10480,346
C24.46D10 = D120⋊C2φ: D10/D5 → C2 ⊆ Aut C242404+C24.46D10480,347
C24.47D10 = C40.31D6φ: D10/D5 → C2 ⊆ Aut C242404C24.47D10480,345
C24.48D10 = C3×C5⋊D16φ: D10/D5 → C2 ⊆ Aut C242404C24.48D10480,104
C24.49D10 = C3×D8.D5φ: D10/D5 → C2 ⊆ Aut C242404C24.49D10480,105
C24.50D10 = C3×C5⋊SD32φ: D10/D5 → C2 ⊆ Aut C242404C24.50D10480,106
C24.51D10 = C3×C5⋊Q32φ: D10/D5 → C2 ⊆ Aut C244804C24.51D10480,107
C24.52D10 = C3×D8⋊3D5φ: D10/D5 → C2 ⊆ Aut C242404C24.52D10480,705
C24.53D10 = C3×D5×Q16φ: D10/D5 → C2 ⊆ Aut C242404C24.53D10480,710
C24.54D10 = C3×Q8.D10φ: D10/D5 → C2 ⊆ Aut C242404C24.54D10480,712
C24.55D10 = D5×C3⋊C16φ: D10/D5 → C2 ⊆ Aut C242404C24.55D10480,7
C24.56D10 = S3×C5⋊2C16φ: D10/D5 → C2 ⊆ Aut C242404C24.56D10480,8
C24.57D10 = D15⋊2C16φ: D10/D5 → C2 ⊆ Aut C242404C24.57D10480,9
C24.58D10 = C40.51D6φ: D10/D5 → C2 ⊆ Aut C242404C24.58D10480,10
C24.59D10 = C40.52D6φ: D10/D5 → C2 ⊆ Aut C242404C24.59D10480,11
C24.60D10 = D30.5C8φ: D10/D5 → C2 ⊆ Aut C242404C24.60D10480,12
C24.61D10 = C40.54D6φ: D10/D5 → C2 ⊆ Aut C242404C24.61D10480,341
C24.62D10 = C40.34D6φ: D10/D5 → C2 ⊆ Aut C242404C24.62D10480,342
C24.63D10 = C3×SD16⋊3D5φ: D10/D5 → C2 ⊆ Aut C242404C24.63D10480,709
C24.64D10 = C3×D20.2C4φ: D10/D5 → C2 ⊆ Aut C242404C24.64D10480,700
C24.65D10 = D240φ: D10/C10 → C2 ⊆ Aut C242402+C24.65D10480,159
C24.66D10 = C48⋊D5φ: D10/C10 → C2 ⊆ Aut C242402C24.66D10480,160
C24.67D10 = Dic120φ: D10/C10 → C2 ⊆ Aut C244802-C24.67D10480,161
C24.68D10 = C2×Dic60φ: D10/C10 → C2 ⊆ Aut C24480C24.68D10480,870
C24.69D10 = C40.69D6φ: D10/C10 → C2 ⊆ Aut C242402C24.69D10480,869
C24.70D10 = C3×D80φ: D10/C10 → C2 ⊆ Aut C242402C24.70D10480,77
C24.71D10 = C3×C16⋊D5φ: D10/C10 → C2 ⊆ Aut C242402C24.71D10480,78
C24.72D10 = C3×Dic40φ: D10/C10 → C2 ⊆ Aut C244802C24.72D10480,79
C24.73D10 = C3×D40⋊7C2φ: D10/C10 → C2 ⊆ Aut C242402C24.73D10480,697
C24.74D10 = C6×Dic20φ: D10/C10 → C2 ⊆ Aut C24480C24.74D10480,698
C24.75D10 = C16×D15φ: D10/C10 → C2 ⊆ Aut C242402C24.75D10480,157
C24.76D10 = C80⋊S3φ: D10/C10 → C2 ⊆ Aut C242402C24.76D10480,158
C24.77D10 = C2×C15⋊3C16φ: D10/C10 → C2 ⊆ Aut C24480C24.77D10480,171
C24.78D10 = C60.7C8φ: D10/C10 → C2 ⊆ Aut C242402C24.78D10480,172
C24.79D10 = D60.6C4φ: D10/C10 → C2 ⊆ Aut C242402C24.79D10480,866
C24.80D10 = D5×C48central extension (φ=1)2402C24.80D10480,75
C24.81D10 = C3×C80⋊C2central extension (φ=1)2402C24.81D10480,76
C24.82D10 = C6×C5⋊2C16central extension (φ=1)480C24.82D10480,89
C24.83D10 = C3×C20.4C8central extension (φ=1)2402C24.83D10480,90
C24.84D10 = C3×D20.3C4central extension (φ=1)2402C24.84D10480,694

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