Extensions 1→N→G→Q→1 with N=C12 and Q=D20

Direct product G=NxQ with N=C12 and Q=D20
dρLabelID
C12xD20240C12xD20480,666

Semidirect products G=N:Q with N=C12 and Q=D20
extensionφ:Q→Aut NdρLabelID
C12:1D20 = C12:D20φ: D20/C10C22 ⊆ Aut C12240C12:1D20480,534
C12:2D20 = C12:2D20φ: D20/C10C22 ⊆ Aut C12240C12:2D20480,541
C12:3D20 = C4:D60φ: D20/C10C22 ⊆ Aut C12240C12:3D20480,860
C12:4D20 = C42:6D15φ: D20/C20C2 ⊆ Aut C12240C12:4D20480,839
C12:5D20 = C4xD60φ: D20/C20C2 ⊆ Aut C12240C12:5D20480,838
C12:6D20 = C3xC20:4D4φ: D20/C20C2 ⊆ Aut C12240C12:6D20480,667
C12:7D20 = C12:7D20φ: D20/D10C2 ⊆ Aut C12240C12:7D20480,526
C12:8D20 = C4xC3:D20φ: D20/D10C2 ⊆ Aut C12240C12:8D20480,519
C12:9D20 = C3xC4:D20φ: D20/D10C2 ⊆ Aut C12240C12:9D20480,688

Non-split extensions G=N.Q with N=C12 and Q=D20
extensionφ:Q→Aut NdρLabelID
C12.1D20 = C3:D80φ: D20/C10C22 ⊆ Aut C122404+C12.1D20480,14
C12.2D20 = D40.S3φ: D20/C10C22 ⊆ Aut C122404-C12.2D20480,18
C12.3D20 = C24.D10φ: D20/C10C22 ⊆ Aut C122404+C12.3D20480,19
C12.4D20 = C3:Dic40φ: D20/C10C22 ⊆ Aut C124804-C12.4D20480,23
C12.5D20 = C60.28D4φ: D20/C10C22 ⊆ Aut C121204C12.5D20480,34
C12.6D20 = C12.6D20φ: D20/C10C22 ⊆ Aut C122404C12.6D20480,37
C12.7D20 = C30.D8φ: D20/C10C22 ⊆ Aut C12240C12.7D20480,40
C12.8D20 = C30.Q16φ: D20/C10C22 ⊆ Aut C12480C12.8D20480,46
C12.9D20 = D60:9C4φ: D20/C10C22 ⊆ Aut C12240C12.9D20480,169
C12.10D20 = Dic30:9C4φ: D20/C10C22 ⊆ Aut C12480C12.10D20480,170
C12.11D20 = M4(2):D15φ: D20/C10C22 ⊆ Aut C121204+C12.11D20480,183
C12.12D20 = C4.D60φ: D20/C10C22 ⊆ Aut C122404-C12.12D20480,184
C12.13D20 = C2xC3:D40φ: D20/C10C22 ⊆ Aut C12240C12.13D20480,376
C12.14D20 = C2xC6.D20φ: D20/C10C22 ⊆ Aut C12240C12.14D20480,386
C12.15D20 = D60:30C22φ: D20/C10C22 ⊆ Aut C121204C12.15D20480,388
C12.16D20 = C2xC15:SD16φ: D20/C10C22 ⊆ Aut C12240C12.16D20480,390
C12.17D20 = C12.D20φ: D20/C10C22 ⊆ Aut C122404C12.17D20480,391
C12.18D20 = C2xC3:Dic20φ: D20/C10C22 ⊆ Aut C12480C12.18D20480,395
C12.19D20 = C60.44D4φ: D20/C10C22 ⊆ Aut C12240C12.19D20480,440
C12.20D20 = C60.47D4φ: D20/C10C22 ⊆ Aut C12240C12.20D20480,450
C12.21D20 = C60.48D4φ: D20/C10C22 ⊆ Aut C12480C12.21D20480,465
C12.22D20 = D30:10Q8φ: D20/C10C22 ⊆ Aut C12240C12.22D20480,466
C12.23D20 = D30:6Q8φ: D20/C10C22 ⊆ Aut C12240C12.23D20480,862
C12.24D20 = C8:D30φ: D20/C10C22 ⊆ Aut C121204+C12.24D20480,873
C12.25D20 = C8.D30φ: D20/C10C22 ⊆ Aut C122404-C12.25D20480,874
C12.26D20 = D240φ: D20/C20C2 ⊆ Aut C122402+C12.26D20480,159
C12.27D20 = C48:D5φ: D20/C20C2 ⊆ Aut C122402C12.27D20480,160
C12.28D20 = Dic120φ: D20/C20C2 ⊆ Aut C124802-C12.28D20480,161
C12.29D20 = C60:8Q8φ: D20/C20C2 ⊆ Aut C12480C12.29D20480,834
C12.30D20 = C42:7D15φ: D20/C20C2 ⊆ Aut C12240C12.30D20480,840
C12.31D20 = C2xC24:D5φ: D20/C20C2 ⊆ Aut C12240C12.31D20480,867
C12.32D20 = C2xD120φ: D20/C20C2 ⊆ Aut C12240C12.32D20480,868
C12.33D20 = C2xDic60φ: D20/C20C2 ⊆ Aut C12480C12.33D20480,870
C12.34D20 = C60:5C8φ: D20/C20C2 ⊆ Aut C12480C12.34D20480,164
C12.35D20 = D60:7C4φ: D20/C20C2 ⊆ Aut C121202C12.35D20480,165
C12.36D20 = C4.18D60φ: D20/C20C2 ⊆ Aut C122402C12.36D20480,179
C12.37D20 = D30:3C8φ: D20/C20C2 ⊆ Aut C12240C12.37D20480,180
C12.38D20 = C40.69D6φ: D20/C20C2 ⊆ Aut C122402C12.38D20480,869
C12.39D20 = C3xD80φ: D20/C20C2 ⊆ Aut C122402C12.39D20480,77
C12.40D20 = C3xC16:D5φ: D20/C20C2 ⊆ Aut C122402C12.40D20480,78
C12.41D20 = C3xDic40φ: D20/C20C2 ⊆ Aut C124802C12.41D20480,79
C12.42D20 = C3xC20:2Q8φ: D20/C20C2 ⊆ Aut C12480C12.42D20480,662
C12.43D20 = C3xC4.D20φ: D20/C20C2 ⊆ Aut C12240C12.43D20480,668
C12.44D20 = C6xC40:C2φ: D20/C20C2 ⊆ Aut C12240C12.44D20480,695
C12.45D20 = C6xD40φ: D20/C20C2 ⊆ Aut C12240C12.45D20480,696
C12.46D20 = C6xDic20φ: D20/C20C2 ⊆ Aut C12480C12.46D20480,698
C12.47D20 = C60.29D4φ: D20/D10C2 ⊆ Aut C121204+C12.47D20480,36
C12.48D20 = C60.31D4φ: D20/D10C2 ⊆ Aut C122404-C12.48D20480,39
C12.49D20 = D60:15C4φ: D20/D10C2 ⊆ Aut C12240C12.49D20480,45
C12.50D20 = Dic30:15C4φ: D20/D10C2 ⊆ Aut C12480C12.50D20480,51
C12.51D20 = D20:19D6φ: D20/D10C2 ⊆ Aut C121204+C12.51D20480,377
C12.52D20 = C60.63D4φ: D20/D10C2 ⊆ Aut C122404-C12.52D20480,389
C12.53D20 = C60.68D4φ: D20/D10C2 ⊆ Aut C12240C12.53D20480,436
C12.54D20 = C60.93D4φ: D20/D10C2 ⊆ Aut C12240C12.54D20480,31
C12.55D20 = D30:4C8φ: D20/D10C2 ⊆ Aut C12240C12.55D20480,33
C12.56D20 = C60.97D4φ: D20/D10C2 ⊆ Aut C121204C12.56D20480,53
C12.57D20 = D60:13C4φ: D20/D10C2 ⊆ Aut C121204C12.57D20480,56
C12.58D20 = C60.15Q8φ: D20/D10C2 ⊆ Aut C12480C12.58D20480,60
C12.59D20 = C12.59D20φ: D20/D10C2 ⊆ Aut C122404C12.59D20480,69
C12.60D20 = D20.31D6φ: D20/D10C2 ⊆ Aut C122404C12.60D20480,387
C12.61D20 = C3xD20:6C4φ: D20/D10C2 ⊆ Aut C12240C12.61D20480,87
C12.62D20 = C3xC10.Q16φ: D20/D10C2 ⊆ Aut C12480C12.62D20480,88
C12.63D20 = C3xC20.46D4φ: D20/D10C2 ⊆ Aut C121204C12.63D20480,101
C12.64D20 = C3xC4.12D20φ: D20/D10C2 ⊆ Aut C122404C12.64D20480,102
C12.65D20 = C3xD10:2Q8φ: D20/D10C2 ⊆ Aut C12240C12.65D20480,690
C12.66D20 = C3xC8:D10φ: D20/D10C2 ⊆ Aut C121204C12.66D20480,701
C12.67D20 = C3xC8.D10φ: D20/D10C2 ⊆ Aut C122404C12.67D20480,702
C12.68D20 = C3xC20:3C8central extension (φ=1)480C12.68D20480,82
C12.69D20 = C3xD20:4C4central extension (φ=1)1202C12.69D20480,83
C12.70D20 = C3xC40.6C4central extension (φ=1)2402C12.70D20480,97
C12.71D20 = C3xD10:1C8central extension (φ=1)240C12.71D20480,98
C12.72D20 = C3xD40:7C2central extension (φ=1)2402C12.72D20480,697

׿
x
:
Z
F
o
wr
Q
<