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Extensions 1→N→G→Q→1 with N=S3×C62 and Q=C2

Direct product G=N×Q with N=S3×C62 and Q=C2
dρLabelID
S3×C2×C62144S3xC2xC6^2432,772

Semidirect products G=N:Q with N=S3×C62 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3×C62)⋊1C2 = C6×D6⋊S3φ: C2/C1 → C2 ⊆ Out S3×C6248(S3xC6^2):1C2432,655
(S3×C62)⋊2C2 = C6×C3⋊D12φ: C2/C1 → C2 ⊆ Out S3×C6248(S3xC6^2):2C2432,656
(S3×C62)⋊3C2 = C3×S3×C3⋊D4φ: C2/C1 → C2 ⊆ Out S3×C62244(S3xC6^2):3C2432,658
(S3×C62)⋊4C2 = C2×C33⋊6D4φ: C2/C1 → C2 ⊆ Out S3×C62144(S3xC6^2):4C2432,680
(S3×C62)⋊5C2 = C2×C33⋊7D4φ: C2/C1 → C2 ⊆ Out S3×C6272(S3xC6^2):5C2432,681
(S3×C62)⋊6C2 = S3×C32⋊7D4φ: C2/C1 → C2 ⊆ Out S3×C6272(S3xC6^2):6C2432,684
(S3×C62)⋊7C2 = C3×C6×D12φ: C2/C1 → C2 ⊆ Out S3×C62144(S3xC6^2):7C2432,702
(S3×C62)⋊8C2 = S3×D4×C32φ: C2/C1 → C2 ⊆ Out S3×C6272(S3xC6^2):8C2432,704
(S3×C62)⋊9C2 = C3×C6×C3⋊D4φ: C2/C1 → C2 ⊆ Out S3×C6272(S3xC6^2):9C2432,709
(S3×C62)⋊10C2 = S32×C2×C6φ: C2/C1 → C2 ⊆ Out S3×C6248(S3xC6^2):10C2432,767
(S3×C62)⋊11C2 = C22×S3×C3⋊S3φ: C2/C1 → C2 ⊆ Out S3×C6272(S3xC6^2):11C2432,768

Non-split extensions G=N.Q with N=S3×C62 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3×C62).1C2 = C3×D6⋊Dic3φ: C2/C1 → C2 ⊆ Out S3×C6248(S3xC6^2).1C2432,426
(S3×C62).2C2 = C62.77D6φ: C2/C1 → C2 ⊆ Out S3×C62144(S3xC6^2).2C2432,449
(S3×C62).3C2 = C32×D6⋊C4φ: C2/C1 → C2 ⊆ Out S3×C62144(S3xC6^2).3C2432,474
(S3×C62).4C2 = S3×C6×Dic3φ: C2/C1 → C2 ⊆ Out S3×C6248(S3xC6^2).4C2432,651
(S3×C62).5C2 = C2×S3×C3⋊Dic3φ: C2/C1 → C2 ⊆ Out S3×C62144(S3xC6^2).5C2432,674
(S3×C62).6C2 = S3×C6×C12φ: trivial image144(S3xC6^2).6C2432,701

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