# Extensions 1→N→G→Q→1 with N=C2×C4 and Q=D6

Direct product G=N×Q with N=C2×C4 and Q=D6
dρLabelID
S3×C22×C448S3xC2^2xC496,206

Semidirect products G=N:Q with N=C2×C4 and Q=D6
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊1D6 = D6⋊D4φ: D6/C3C22 ⊆ Aut C2×C424(C2xC4):1D696,89
(C2×C4)⋊2D6 = C232D6φ: D6/C3C22 ⊆ Aut C2×C424(C2xC4):2D696,144
(C2×C4)⋊3D6 = D46D6φ: D6/C3C22 ⊆ Aut C2×C4244(C2xC4):3D696,211
(C2×C4)⋊4D6 = D4○D12φ: D6/C3C22 ⊆ Aut C2×C4244+(C2xC4):4D696,216
(C2×C4)⋊5D6 = S3×C22⋊C4φ: D6/S3C2 ⊆ Aut C2×C424(C2xC4):5D696,87
(C2×C4)⋊6D6 = C2×S3×D4φ: D6/S3C2 ⊆ Aut C2×C424(C2xC4):6D696,209
(C2×C4)⋊7D6 = S3×C4○D4φ: D6/S3C2 ⊆ Aut C2×C4244(C2xC4):7D696,215
(C2×C4)⋊8D6 = C2×D6⋊C4φ: D6/C6C2 ⊆ Aut C2×C448(C2xC4):8D696,134
(C2×C4)⋊9D6 = C22×D12φ: D6/C6C2 ⊆ Aut C2×C448(C2xC4):9D696,207
(C2×C4)⋊10D6 = C2×C4○D12φ: D6/C6C2 ⊆ Aut C2×C448(C2xC4):10D696,208

Non-split extensions G=N.Q with N=C2×C4 and Q=D6
extensionφ:Q→Aut NdρLabelID
(C2×C4).1D6 = C12.46D4φ: D6/C3C22 ⊆ Aut C2×C4244+(C2xC4).1D696,30
(C2×C4).2D6 = C12.47D4φ: D6/C3C22 ⊆ Aut C2×C4484-(C2xC4).2D696,31
(C2×C4).3D6 = C12.D4φ: D6/C3C22 ⊆ Aut C2×C4244(C2xC4).3D696,40
(C2×C4).4D6 = C12.10D4φ: D6/C3C22 ⊆ Aut C2×C4484(C2xC4).4D696,43
(C2×C4).5D6 = Dic3.D4φ: D6/C3C22 ⊆ Aut C2×C448(C2xC4).5D696,85
(C2×C4).6D6 = C23.9D6φ: D6/C3C22 ⊆ Aut C2×C448(C2xC4).6D696,90
(C2×C4).7D6 = Dic3⋊D4φ: D6/C3C22 ⊆ Aut C2×C448(C2xC4).7D696,91
(C2×C4).8D6 = C23.11D6φ: D6/C3C22 ⊆ Aut C2×C448(C2xC4).8D696,92
(C2×C4).9D6 = C23.21D6φ: D6/C3C22 ⊆ Aut C2×C448(C2xC4).9D696,93
(C2×C4).10D6 = Dic3.Q8φ: D6/C3C22 ⊆ Aut C2×C496(C2xC4).10D696,96
(C2×C4).11D6 = D6.D4φ: D6/C3C22 ⊆ Aut C2×C448(C2xC4).11D696,101
(C2×C4).12D6 = C12⋊D4φ: D6/C3C22 ⊆ Aut C2×C448(C2xC4).12D696,102
(C2×C4).13D6 = D6⋊Q8φ: D6/C3C22 ⊆ Aut C2×C448(C2xC4).13D696,103
(C2×C4).14D6 = C4.D12φ: D6/C3C22 ⊆ Aut C2×C448(C2xC4).14D696,104
(C2×C4).15D6 = C8⋊D6φ: D6/C3C22 ⊆ Aut C2×C4244+(C2xC4).15D696,115
(C2×C4).16D6 = C8.D6φ: D6/C3C22 ⊆ Aut C2×C4484-(C2xC4).16D696,116
(C2×C4).17D6 = D126C22φ: D6/C3C22 ⊆ Aut C2×C4244(C2xC4).17D696,139
(C2×C4).18D6 = C23.23D6φ: D6/C3C22 ⊆ Aut C2×C448(C2xC4).18D696,142
(C2×C4).19D6 = C23.14D6φ: D6/C3C22 ⊆ Aut C2×C448(C2xC4).19D696,146
(C2×C4).20D6 = Q8.11D6φ: D6/C3C22 ⊆ Aut C2×C4484(C2xC4).20D696,149
(C2×C4).21D6 = D63Q8φ: D6/C3C22 ⊆ Aut C2×C448(C2xC4).21D696,153
(C2×C4).22D6 = D4⋊D6φ: D6/C3C22 ⊆ Aut C2×C4244+(C2xC4).22D696,156
(C2×C4).23D6 = Q8.14D6φ: D6/C3C22 ⊆ Aut C2×C4484-(C2xC4).23D696,158
(C2×C4).24D6 = Q8.15D6φ: D6/C3C22 ⊆ Aut C2×C4484(C2xC4).24D696,214
(C2×C4).25D6 = Q8○D12φ: D6/C3C22 ⊆ Aut C2×C4484-(C2xC4).25D696,217
(C2×C4).26D6 = C23.16D6φ: D6/S3C2 ⊆ Aut C2×C448(C2xC4).26D696,84
(C2×C4).27D6 = C23.8D6φ: D6/S3C2 ⊆ Aut C2×C448(C2xC4).27D696,86
(C2×C4).28D6 = Dic34D4φ: D6/S3C2 ⊆ Aut C2×C448(C2xC4).28D696,88
(C2×C4).29D6 = Dic6⋊C4φ: D6/S3C2 ⊆ Aut C2×C496(C2xC4).29D696,94
(C2×C4).30D6 = S3×C4⋊C4φ: D6/S3C2 ⊆ Aut C2×C448(C2xC4).30D696,98
(C2×C4).31D6 = Dic35D4φ: D6/S3C2 ⊆ Aut C2×C448(C2xC4).31D696,100
(C2×C4).32D6 = C4⋊C4⋊S3φ: D6/S3C2 ⊆ Aut C2×C448(C2xC4).32D696,105
(C2×C4).33D6 = C6.Q16φ: D6/S3C2 ⊆ Aut C2×C496(C2xC4).33D696,14
(C2×C4).34D6 = C12.Q8φ: D6/S3C2 ⊆ Aut C2×C496(C2xC4).34D696,15
(C2×C4).35D6 = C6.D8φ: D6/S3C2 ⊆ Aut C2×C448(C2xC4).35D696,16
(C2×C4).36D6 = C6.SD16φ: D6/S3C2 ⊆ Aut C2×C496(C2xC4).36D696,17
(C2×C4).37D6 = C12.53D4φ: D6/S3C2 ⊆ Aut C2×C4484(C2xC4).37D696,29
(C2×C4).38D6 = D12⋊C4φ: D6/S3C2 ⊆ Aut C2×C4244(C2xC4).38D696,32
(C2×C4).39D6 = D4⋊Dic3φ: D6/S3C2 ⊆ Aut C2×C448(C2xC4).39D696,39
(C2×C4).40D6 = Q82Dic3φ: D6/S3C2 ⊆ Aut C2×C496(C2xC4).40D696,42
(C2×C4).41D6 = Q83Dic3φ: D6/S3C2 ⊆ Aut C2×C4244(C2xC4).41D696,44
(C2×C4).42D6 = C12⋊Q8φ: D6/S3C2 ⊆ Aut C2×C496(C2xC4).42D696,95
(C2×C4).43D6 = C4.Dic6φ: D6/S3C2 ⊆ Aut C2×C496(C2xC4).43D696,97
(C2×C4).44D6 = C4⋊C47S3φ: D6/S3C2 ⊆ Aut C2×C448(C2xC4).44D696,99
(C2×C4).45D6 = S3×M4(2)φ: D6/S3C2 ⊆ Aut C2×C4244(C2xC4).45D696,113
(C2×C4).46D6 = D12.C4φ: D6/S3C2 ⊆ Aut C2×C4484(C2xC4).46D696,114
(C2×C4).47D6 = C2×D4⋊S3φ: D6/S3C2 ⊆ Aut C2×C448(C2xC4).47D696,138
(C2×C4).48D6 = C2×D4.S3φ: D6/S3C2 ⊆ Aut C2×C448(C2xC4).48D696,140
(C2×C4).49D6 = D4×Dic3φ: D6/S3C2 ⊆ Aut C2×C448(C2xC4).49D696,141
(C2×C4).50D6 = C23.12D6φ: D6/S3C2 ⊆ Aut C2×C448(C2xC4).50D696,143
(C2×C4).51D6 = D63D4φ: D6/S3C2 ⊆ Aut C2×C448(C2xC4).51D696,145
(C2×C4).52D6 = C123D4φ: D6/S3C2 ⊆ Aut C2×C448(C2xC4).52D696,147
(C2×C4).53D6 = C2×Q82S3φ: D6/S3C2 ⊆ Aut C2×C448(C2xC4).53D696,148
(C2×C4).54D6 = C2×C3⋊Q16φ: D6/S3C2 ⊆ Aut C2×C496(C2xC4).54D696,150
(C2×C4).55D6 = Dic3⋊Q8φ: D6/S3C2 ⊆ Aut C2×C496(C2xC4).55D696,151
(C2×C4).56D6 = Q8×Dic3φ: D6/S3C2 ⊆ Aut C2×C496(C2xC4).56D696,152
(C2×C4).57D6 = C12.23D4φ: D6/S3C2 ⊆ Aut C2×C448(C2xC4).57D696,154
(C2×C4).58D6 = D4.Dic3φ: D6/S3C2 ⊆ Aut C2×C4484(C2xC4).58D696,155
(C2×C4).59D6 = Q8.13D6φ: D6/S3C2 ⊆ Aut C2×C4484(C2xC4).59D696,157
(C2×C4).60D6 = C2×D42S3φ: D6/S3C2 ⊆ Aut C2×C448(C2xC4).60D696,210
(C2×C4).61D6 = C2×S3×Q8φ: D6/S3C2 ⊆ Aut C2×C448(C2xC4).61D696,212
(C2×C4).62D6 = C2×Q83S3φ: D6/S3C2 ⊆ Aut C2×C448(C2xC4).62D696,213
(C2×C4).63D6 = C423S3φ: D6/C6C2 ⊆ Aut C2×C448(C2xC4).63D696,83
(C2×C4).64D6 = C2×Dic3⋊C4φ: D6/C6C2 ⊆ Aut C2×C496(C2xC4).64D696,130
(C2×C4).65D6 = C23.28D6φ: D6/C6C2 ⊆ Aut C2×C448(C2xC4).65D696,136
(C2×C4).66D6 = C424S3φ: D6/C6C2 ⊆ Aut C2×C4242(C2xC4).66D696,12
(C2×C4).67D6 = C2.Dic12φ: D6/C6C2 ⊆ Aut C2×C496(C2xC4).67D696,23
(C2×C4).68D6 = C8⋊Dic3φ: D6/C6C2 ⊆ Aut C2×C496(C2xC4).68D696,24
(C2×C4).69D6 = C241C4φ: D6/C6C2 ⊆ Aut C2×C496(C2xC4).69D696,25
(C2×C4).70D6 = C24.C4φ: D6/C6C2 ⊆ Aut C2×C4482(C2xC4).70D696,26
(C2×C4).71D6 = C2.D24φ: D6/C6C2 ⊆ Aut C2×C448(C2xC4).71D696,28
(C2×C4).72D6 = C4×Dic6φ: D6/C6C2 ⊆ Aut C2×C496(C2xC4).72D696,75
(C2×C4).73D6 = C122Q8φ: D6/C6C2 ⊆ Aut C2×C496(C2xC4).73D696,76
(C2×C4).74D6 = C12.6Q8φ: D6/C6C2 ⊆ Aut C2×C496(C2xC4).74D696,77
(C2×C4).75D6 = C4×D12φ: D6/C6C2 ⊆ Aut C2×C448(C2xC4).75D696,80
(C2×C4).76D6 = C4⋊D12φ: D6/C6C2 ⊆ Aut C2×C448(C2xC4).76D696,81
(C2×C4).77D6 = C427S3φ: D6/C6C2 ⊆ Aut C2×C448(C2xC4).77D696,82
(C2×C4).78D6 = C8○D12φ: D6/C6C2 ⊆ Aut C2×C4482(C2xC4).78D696,108
(C2×C4).79D6 = C2×C24⋊C2φ: D6/C6C2 ⊆ Aut C2×C448(C2xC4).79D696,109
(C2×C4).80D6 = C2×D24φ: D6/C6C2 ⊆ Aut C2×C448(C2xC4).80D696,110
(C2×C4).81D6 = C4○D24φ: D6/C6C2 ⊆ Aut C2×C4482(C2xC4).81D696,111
(C2×C4).82D6 = C2×Dic12φ: D6/C6C2 ⊆ Aut C2×C496(C2xC4).82D696,112
(C2×C4).83D6 = C12.48D4φ: D6/C6C2 ⊆ Aut C2×C448(C2xC4).83D696,131
(C2×C4).84D6 = C2×C4⋊Dic3φ: D6/C6C2 ⊆ Aut C2×C496(C2xC4).84D696,132
(C2×C4).85D6 = C127D4φ: D6/C6C2 ⊆ Aut C2×C448(C2xC4).85D696,137
(C2×C4).86D6 = C22×Dic6φ: D6/C6C2 ⊆ Aut C2×C496(C2xC4).86D696,205
(C2×C4).87D6 = C4×C3⋊C8central extension (φ=1)96(C2xC4).87D696,9
(C2×C4).88D6 = C42.S3central extension (φ=1)96(C2xC4).88D696,10
(C2×C4).89D6 = C12⋊C8central extension (φ=1)96(C2xC4).89D696,11
(C2×C4).90D6 = C8×Dic3central extension (φ=1)96(C2xC4).90D696,20
(C2×C4).91D6 = Dic3⋊C8central extension (φ=1)96(C2xC4).91D696,21
(C2×C4).92D6 = C24⋊C4central extension (φ=1)96(C2xC4).92D696,22
(C2×C4).93D6 = D6⋊C8central extension (φ=1)48(C2xC4).93D696,27
(C2×C4).94D6 = C12.55D4central extension (φ=1)48(C2xC4).94D696,37
(C2×C4).95D6 = S3×C42central extension (φ=1)48(C2xC4).95D696,78
(C2×C4).96D6 = C422S3central extension (φ=1)48(C2xC4).96D696,79
(C2×C4).97D6 = S3×C2×C8central extension (φ=1)48(C2xC4).97D696,106
(C2×C4).98D6 = C2×C8⋊S3central extension (φ=1)48(C2xC4).98D696,107
(C2×C4).99D6 = C22×C3⋊C8central extension (φ=1)96(C2xC4).99D696,127
(C2×C4).100D6 = C2×C4.Dic3central extension (φ=1)48(C2xC4).100D696,128
(C2×C4).101D6 = C2×C4×Dic3central extension (φ=1)96(C2xC4).101D696,129
(C2×C4).102D6 = C23.26D6central extension (φ=1)48(C2xC4).102D696,133
(C2×C4).103D6 = C4×C3⋊D4central extension (φ=1)48(C2xC4).103D696,135

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