Extensions 1→N→G→Q→1 with N=S3×C6 and Q=Q8

Direct product G=N×Q with N=S3×C6 and Q=Q8
dρLabelID
S3×C6×Q896S3xC6xQ8288,995

Semidirect products G=N:Q with N=S3×C6 and Q=Q8
extensionφ:Q→Out NdρLabelID
(S3×C6)⋊1Q8 = D61Dic6φ: Q8/C2C22 ⊆ Out S3×C696(S3xC6):1Q8288,535
(S3×C6)⋊2Q8 = D62Dic6φ: Q8/C2C22 ⊆ Out S3×C696(S3xC6):2Q8288,541
(S3×C6)⋊3Q8 = D63Dic6φ: Q8/C2C22 ⊆ Out S3×C696(S3xC6):3Q8288,544
(S3×C6)⋊4Q8 = D64Dic6φ: Q8/C2C22 ⊆ Out S3×C696(S3xC6):4Q8288,547
(S3×C6)⋊5Q8 = D6⋊Dic6φ: Q8/C4C2 ⊆ Out S3×C696(S3xC6):5Q8288,499
(S3×C6)⋊6Q8 = D66Dic6φ: Q8/C4C2 ⊆ Out S3×C696(S3xC6):6Q8288,504
(S3×C6)⋊7Q8 = D67Dic6φ: Q8/C4C2 ⊆ Out S3×C696(S3xC6):7Q8288,505
(S3×C6)⋊8Q8 = C3×D6⋊Q8φ: Q8/C4C2 ⊆ Out S3×C696(S3xC6):8Q8288,667
(S3×C6)⋊9Q8 = C3×C4.D12φ: Q8/C4C2 ⊆ Out S3×C696(S3xC6):9Q8288,668
(S3×C6)⋊10Q8 = C3×D63Q8φ: Q8/C4C2 ⊆ Out S3×C696(S3xC6):10Q8288,717
(S3×C6)⋊11Q8 = C2×S3×Dic6φ: Q8/C4C2 ⊆ Out S3×C696(S3xC6):11Q8288,942

Non-split extensions G=N.Q with N=S3×C6 and Q=Q8
extensionφ:Q→Out NdρLabelID
(S3×C6).1Q8 = S3×Dic3⋊C4φ: Q8/C4C2 ⊆ Out S3×C696(S3xC6).1Q8288,524
(S3×C6).2Q8 = S3×C4⋊Dic3φ: Q8/C4C2 ⊆ Out S3×C696(S3xC6).2Q8288,537
(S3×C6).3Q8 = C3×S3×C4⋊C4φ: trivial image96(S3xC6).3Q8288,662

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