Extensions 1→N→G→Q→1 with N=C2×C6.D6 and Q=C2

Direct product G=N×Q with N=C2×C6.D6 and Q=C2
dρLabelID
C22×C6.D648C2^2xC6.D6288,972

Semidirect products G=N:Q with N=C2×C6.D6 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C6.D6)⋊1C2 = Dic33D12φ: C2/C1C2 ⊆ Out C2×C6.D648(C2xC6.D6):1C2288,558
(C2×C6.D6)⋊2C2 = C62.100C23φ: C2/C1C2 ⊆ Out C2×C6.D648(C2xC6.D6):2C2288,606
(C2×C6.D6)⋊3C2 = C2×D6.6D6φ: C2/C1C2 ⊆ Out C2×C6.D648(C2xC6.D6):3C2288,949
(C2×C6.D6)⋊4C2 = Dic612D6φ: C2/C1C2 ⊆ Out C2×C6.D6248+(C2xC6.D6):4C2288,960
(C2×C6.D6)⋊5C2 = C2×D6.3D6φ: C2/C1C2 ⊆ Out C2×C6.D648(C2xC6.D6):5C2288,970
(C2×C6.D6)⋊6C2 = C2×Dic3⋊D6φ: C2/C1C2 ⊆ Out C2×C6.D624(C2xC6.D6):6C2288,977
(C2×C6.D6)⋊7C2 = C62.24C23φ: C2/C1C2 ⊆ Out C2×C6.D648(C2xC6.D6):7C2288,502
(C2×C6.D6)⋊8C2 = Dic34D12φ: C2/C1C2 ⊆ Out C2×C6.D648(C2xC6.D6):8C2288,528
(C2×C6.D6)⋊9C2 = Dic35D12φ: C2/C1C2 ⊆ Out C2×C6.D648(C2xC6.D6):9C2288,542
(C2×C6.D6)⋊10C2 = C62.67C23φ: C2/C1C2 ⊆ Out C2×C6.D648(C2xC6.D6):10C2288,545
(C2×C6.D6)⋊11C2 = C62.74C23φ: C2/C1C2 ⊆ Out C2×C6.D648(C2xC6.D6):11C2288,552
(C2×C6.D6)⋊12C2 = C62.91C23φ: C2/C1C2 ⊆ Out C2×C6.D648(C2xC6.D6):12C2288,569
(C2×C6.D6)⋊13C2 = C62.94C23φ: C2/C1C2 ⊆ Out C2×C6.D648(C2xC6.D6):13C2288,600
(C2×C6.D6)⋊14C2 = C62.116C23φ: C2/C1C2 ⊆ Out C2×C6.D624(C2xC6.D6):14C2288,622
(C2×C6.D6)⋊15C2 = C62.117C23φ: C2/C1C2 ⊆ Out C2×C6.D648(C2xC6.D6):15C2288,623
(C2×C6.D6)⋊16C2 = C2×S32⋊C4φ: C2/C1C2 ⊆ Out C2×C6.D624(C2xC6.D6):16C2288,880
(C2×C6.D6)⋊17C2 = C62.9D4φ: C2/C1C2 ⊆ Out C2×C6.D6244(C2xC6.D6):17C2288,881
(C2×C6.D6)⋊18C2 = S32×C2×C4φ: trivial image48(C2xC6.D6):18C2288,950

Non-split extensions G=N.Q with N=C2×C6.D6 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C6.D6).1C2 = C62.6C23φ: C2/C1C2 ⊆ Out C2×C6.D648(C2xC6.D6).1C2288,484
(C2×C6.D6).2C2 = C62.53C23φ: C2/C1C2 ⊆ Out C2×C6.D648(C2xC6.D6).2C2288,531
(C2×C6.D6).3C2 = C62.58C23φ: C2/C1C2 ⊆ Out C2×C6.D648(C2xC6.D6).3C2288,536
(C2×C6.D6).4C2 = C62.65C23φ: C2/C1C2 ⊆ Out C2×C6.D648(C2xC6.D6).4C2288,543
(C2×C6.D6).5C2 = C2×Dic3.D6φ: C2/C1C2 ⊆ Out C2×C6.D648(C2xC6.D6).5C2288,947
(C2×C6.D6).6C2 = C62.D4φ: C2/C1C2 ⊆ Out C2×C6.D648(C2xC6.D6).6C2288,385
(C2×C6.D6).7C2 = C62.70C23φ: C2/C1C2 ⊆ Out C2×C6.D648(C2xC6.D6).7C2288,548
(C2×C6.D6).8C2 = C2×C3⋊S3.Q8φ: C2/C1C2 ⊆ Out C2×C6.D648(C2xC6.D6).8C2288,882
(C2×C6.D6).9C2 = C4×C6.D6φ: trivial image48(C2xC6.D6).9C2288,530

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