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Extensions 1→N→G→Q→1 with N=C3×D4 and Q=D6

Direct product G=N×Q with N=C3×D4 and Q=D6
dρLabelID
S3×C6×D448S3xC6xD4288,992

Semidirect products G=N:Q with N=C3×D4 and Q=D6
extensionφ:Q→Out NdρLabelID
(C3×D4)⋊1D6 = D12⋊D6φ: D6/C3 → C22 ⊆ Out C3×D4248+(C3xD4):1D6288,574
(C3×D4)⋊2D6 = D12.D6φ: D6/C3 → C22 ⊆ Out C3×D4488-(C3xD4):2D6288,575
(C3×D4)⋊3D6 = D8×C3⋊S3φ: D6/C3 → C22 ⊆ Out C3×D472(C3xD4):3D6288,767
(C3×D4)⋊4D6 = C24⋊8D6φ: D6/C3 → C22 ⊆ Out C3×D472(C3xD4):4D6288,768
(C3×D4)⋊5D6 = S3×D4⋊S3φ: D6/S3 → C2 ⊆ Out C3×D4488+(C3xD4):5D6288,572
(C3×D4)⋊6D6 = Dic6⋊3D6φ: D6/S3 → C2 ⊆ Out C3×D4488+(C3xD4):6D6288,573
(C3×D4)⋊7D6 = S32×D4φ: D6/S3 → C2 ⊆ Out C3×D4248+(C3xD4):7D6288,958
(C3×D4)⋊8D6 = S3×D4⋊2S3φ: D6/S3 → C2 ⊆ Out C3×D4488-(C3xD4):8D6288,959
(C3×D4)⋊9D6 = Dic6⋊12D6φ: D6/S3 → C2 ⊆ Out C3×D4248+(C3xD4):9D6288,960
(C3×D4)⋊10D6 = D12⋊12D6φ: D6/S3 → C2 ⊆ Out C3×D4488-(C3xD4):10D6288,961
(C3×D4)⋊11D6 = D12⋊13D6φ: D6/S3 → C2 ⊆ Out C3×D4248+(C3xD4):11D6288,962
(C3×D4)⋊12D6 = C3×S3×D8φ: D6/S3 → C2 ⊆ Out C3×D4484(C3xD4):12D6288,681
(C3×D4)⋊13D6 = C3×D8⋊S3φ: D6/S3 → C2 ⊆ Out C3×D4484(C3xD4):13D6288,682
(C3×D4)⋊14D6 = C2×C32⋊7D8φ: D6/C6 → C2 ⊆ Out C3×D4144(C3xD4):14D6288,788
(C3×D4)⋊15D6 = C62.73D4φ: D6/C6 → C2 ⊆ Out C3×D472(C3xD4):15D6288,806
(C3×D4)⋊16D6 = C2×D4×C3⋊S3φ: D6/C6 → C2 ⊆ Out C3×D472(C3xD4):16D6288,1007
(C3×D4)⋊17D6 = C2×C12.D6φ: D6/C6 → C2 ⊆ Out C3×D4144(C3xD4):17D6288,1008
(C3×D4)⋊18D6 = C32⋊82+ 1+4φ: D6/C6 → C2 ⊆ Out C3×D472(C3xD4):18D6288,1009
(C3×D4)⋊19D6 = C4○D4×C3⋊S3φ: D6/C6 → C2 ⊆ Out C3×D472(C3xD4):19D6288,1013
(C3×D4)⋊20D6 = C62.154C23φ: D6/C6 → C2 ⊆ Out C3×D472(C3xD4):20D6288,1014
(C3×D4)⋊21D6 = C6×D4⋊S3φ: D6/C6 → C2 ⊆ Out C3×D448(C3xD4):21D6288,702
(C3×D4)⋊22D6 = C3×D4⋊D6φ: D6/C6 → C2 ⊆ Out C3×D4484(C3xD4):22D6288,720
(C3×D4)⋊23D6 = C6×D4⋊2S3φ: trivial image48(C3xD4):23D6288,993
(C3×D4)⋊24D6 = C3×D4⋊6D6φ: trivial image244(C3xD4):24D6288,994
(C3×D4)⋊25D6 = C3×S3×C4○D4φ: trivial image484(C3xD4):25D6288,998
(C3×D4)⋊26D6 = C3×D4○D12φ: trivial image484(C3xD4):26D6288,999

Non-split extensions G=N.Q with N=C3×D4 and Q=D6
extensionφ:Q→Out NdρLabelID
(C3×D4).1D6 = D8×D9φ: D6/C3 → C22 ⊆ Out C3×D4724+(C3xD4).1D6288,120
(C3×D4).2D6 = D8⋊D9φ: D6/C3 → C22 ⊆ Out C3×D4724(C3xD4).2D6288,121
(C3×D4).3D6 = D8⋊3D9φ: D6/C3 → C22 ⊆ Out C3×D41444-(C3xD4).3D6288,122
(C3×D4).4D6 = SD16×D9φ: D6/C3 → C22 ⊆ Out C3×D4724(C3xD4).4D6288,123
(C3×D4).5D6 = D72⋊C2φ: D6/C3 → C22 ⊆ Out C3×D4724+(C3xD4).5D6288,124
(C3×D4).6D6 = SD16⋊D9φ: D6/C3 → C22 ⊆ Out C3×D41444-(C3xD4).6D6288,125
(C3×D4).7D6 = SD16⋊3D9φ: D6/C3 → C22 ⊆ Out C3×D41444(C3xD4).7D6288,126
(C3×D4).8D6 = Dic6.19D6φ: D6/C3 → C22 ⊆ Out C3×D4488-(C3xD4).8D6288,577
(C3×D4).9D6 = Dic6⋊D6φ: D6/C3 → C22 ⊆ Out C3×D4248+(C3xD4).9D6288,578
(C3×D4).10D6 = Dic6.D6φ: D6/C3 → C22 ⊆ Out C3×D4488-(C3xD4).10D6288,579
(C3×D4).11D6 = D12⋊9D6φ: D6/C3 → C22 ⊆ Out C3×D4488-(C3xD4).11D6288,580
(C3×D4).12D6 = D12.7D6φ: D6/C3 → C22 ⊆ Out C3×D4488+(C3xD4).12D6288,582
(C3×D4).13D6 = D12.8D6φ: D6/C3 → C22 ⊆ Out C3×D4488-(C3xD4).13D6288,584
(C3×D4).14D6 = D12⋊5D6φ: D6/C3 → C22 ⊆ Out C3×D4248+(C3xD4).14D6288,585
(C3×D4).15D6 = C24.26D6φ: D6/C3 → C22 ⊆ Out C3×D4144(C3xD4).15D6288,769
(C3×D4).16D6 = SD16×C3⋊S3φ: D6/C3 → C22 ⊆ Out C3×D472(C3xD4).16D6288,770
(C3×D4).17D6 = C24⋊7D6φ: D6/C3 → C22 ⊆ Out C3×D472(C3xD4).17D6288,771
(C3×D4).18D6 = C24.32D6φ: D6/C3 → C22 ⊆ Out C3×D4144(C3xD4).18D6288,772
(C3×D4).19D6 = C24.40D6φ: D6/C3 → C22 ⊆ Out C3×D4144(C3xD4).19D6288,773
(C3×D4).20D6 = S3×D4.S3φ: D6/S3 → C2 ⊆ Out C3×D4488-(C3xD4).20D6288,576
(C3×D4).21D6 = D12.22D6φ: D6/S3 → C2 ⊆ Out C3×D4488-(C3xD4).21D6288,581
(C3×D4).22D6 = Dic6.20D6φ: D6/S3 → C2 ⊆ Out C3×D4488+(C3xD4).22D6288,583
(C3×D4).23D6 = Dic6.24D6φ: D6/S3 → C2 ⊆ Out C3×D4488-(C3xD4).23D6288,957
(C3×D4).24D6 = C3×D8⋊3S3φ: D6/S3 → C2 ⊆ Out C3×D4484(C3xD4).24D6288,683
(C3×D4).25D6 = C3×S3×SD16φ: D6/S3 → C2 ⊆ Out C3×D4484(C3xD4).25D6288,684
(C3×D4).26D6 = C3×Q8⋊3D6φ: D6/S3 → C2 ⊆ Out C3×D4484(C3xD4).26D6288,685
(C3×D4).27D6 = C3×D4.D6φ: D6/S3 → C2 ⊆ Out C3×D4484(C3xD4).27D6288,686
(C3×D4).28D6 = C3×Q8.7D6φ: D6/S3 → C2 ⊆ Out C3×D4484(C3xD4).28D6288,687
(C3×D4).29D6 = C2×D4.D9φ: D6/C6 → C2 ⊆ Out C3×D4144(C3xD4).29D6288,141
(C3×D4).30D6 = C2×D4⋊D9φ: D6/C6 → C2 ⊆ Out C3×D4144(C3xD4).30D6288,142
(C3×D4).31D6 = D36⋊6C22φ: D6/C6 → C2 ⊆ Out C3×D4724(C3xD4).31D6288,143
(C3×D4).32D6 = D4.D18φ: D6/C6 → C2 ⊆ Out C3×D41444-(C3xD4).32D6288,159
(C3×D4).33D6 = D4⋊D18φ: D6/C6 → C2 ⊆ Out C3×D4724+(C3xD4).33D6288,160
(C3×D4).34D6 = D4.9D18φ: D6/C6 → C2 ⊆ Out C3×D41444(C3xD4).34D6288,161
(C3×D4).35D6 = C2×D4×D9φ: D6/C6 → C2 ⊆ Out C3×D472(C3xD4).35D6288,356
(C3×D4).36D6 = C2×D4⋊2D9φ: D6/C6 → C2 ⊆ Out C3×D4144(C3xD4).36D6288,357
(C3×D4).37D6 = D4⋊6D18φ: D6/C6 → C2 ⊆ Out C3×D4724(C3xD4).37D6288,358
(C3×D4).38D6 = C4○D4×D9φ: D6/C6 → C2 ⊆ Out C3×D4724(C3xD4).38D6288,362
(C3×D4).39D6 = D4⋊8D18φ: D6/C6 → C2 ⊆ Out C3×D4724+(C3xD4).39D6288,363
(C3×D4).40D6 = D4.10D18φ: D6/C6 → C2 ⊆ Out C3×D41444-(C3xD4).40D6288,364
(C3×D4).41D6 = C62.131D4φ: D6/C6 → C2 ⊆ Out C3×D472(C3xD4).41D6288,789
(C3×D4).42D6 = C2×C32⋊9SD16φ: D6/C6 → C2 ⊆ Out C3×D4144(C3xD4).42D6288,790
(C3×D4).43D6 = C62.74D4φ: D6/C6 → C2 ⊆ Out C3×D4144(C3xD4).43D6288,807
(C3×D4).44D6 = C62.75D4φ: D6/C6 → C2 ⊆ Out C3×D4144(C3xD4).44D6288,808
(C3×D4).45D6 = C32⋊92- 1+4φ: D6/C6 → C2 ⊆ Out C3×D4144(C3xD4).45D6288,1015
(C3×D4).46D6 = C3×D12⋊6C22φ: D6/C6 → C2 ⊆ Out C3×D4244(C3xD4).46D6288,703
(C3×D4).47D6 = C6×D4.S3φ: D6/C6 → C2 ⊆ Out C3×D448(C3xD4).47D6288,704
(C3×D4).48D6 = C3×Q8.13D6φ: D6/C6 → C2 ⊆ Out C3×D4484(C3xD4).48D6288,721
(C3×D4).49D6 = C3×Q8.14D6φ: D6/C6 → C2 ⊆ Out C3×D4484(C3xD4).49D6288,722
(C3×D4).50D6 = C3×Q8○D12φ: trivial image484(C3xD4).50D6288,1000

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