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Extensions 1→N→G→Q→1 with N=S3×C6 and Q=C2×C6

Direct product G=N×Q with N=S3×C6 and Q=C2×C6
dρLabelID
S3×C2×C62144S3xC2xC6^2432,772

Semidirect products G=N:Q with N=S3×C6 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
(S3×C6)⋊1(C2×C6) = C3×S3×D12φ: C2×C6/C3 → C22 ⊆ Out S3×C6484(S3xC6):1(C2xC6)432,649
(S3×C6)⋊2(C2×C6) = C3×D6⋊D6φ: C2×C6/C3 → C22 ⊆ Out S3×C6484(S3xC6):2(C2xC6)432,650
(S3×C6)⋊3(C2×C6) = C3×Dic3⋊D6φ: C2×C6/C3 → C22 ⊆ Out S3×C6244(S3xC6):3(C2xC6)432,659
(S3×C6)⋊4(C2×C6) = C6×D6⋊S3φ: C2×C6/C6 → C2 ⊆ Out S3×C648(S3xC6):4(C2xC6)432,655
(S3×C6)⋊5(C2×C6) = C6×C3⋊D12φ: C2×C6/C6 → C2 ⊆ Out S3×C648(S3xC6):5(C2xC6)432,656
(S3×C6)⋊6(C2×C6) = C3×S3×C3⋊D4φ: C2×C6/C6 → C2 ⊆ Out S3×C6244(S3xC6):6(C2xC6)432,658
(S3×C6)⋊7(C2×C6) = C3×C6×D12φ: C2×C6/C6 → C2 ⊆ Out S3×C6144(S3xC6):7(C2xC6)432,702
(S3×C6)⋊8(C2×C6) = S3×D4×C32φ: C2×C6/C6 → C2 ⊆ Out S3×C672(S3xC6):8(C2xC6)432,704
(S3×C6)⋊9(C2×C6) = C3×C6×C3⋊D4φ: C2×C6/C6 → C2 ⊆ Out S3×C672(S3xC6):9(C2xC6)432,709
(S3×C6)⋊10(C2×C6) = S32×C2×C6φ: C2×C6/C6 → C2 ⊆ Out S3×C648(S3xC6):10(C2xC6)432,767

Non-split extensions G=N.Q with N=S3×C6 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
(S3×C6).1(C2×C6) = C3×D12⋊5S3φ: C2×C6/C3 → C22 ⊆ Out S3×C6484(S3xC6).1(C2xC6)432,643
(S3×C6).2(C2×C6) = C3×D12⋊S3φ: C2×C6/C3 → C22 ⊆ Out S3×C6484(S3xC6).2(C2xC6)432,644
(S3×C6).3(C2×C6) = C3×D6.3D6φ: C2×C6/C3 → C22 ⊆ Out S3×C6244(S3xC6).3(C2xC6)432,652
(S3×C6).4(C2×C6) = C3×D6.4D6φ: C2×C6/C3 → C22 ⊆ Out S3×C6244(S3xC6).4(C2xC6)432,653
(S3×C6).5(C2×C6) = C18×D12φ: C2×C6/C6 → C2 ⊆ Out S3×C6144(S3xC6).5(C2xC6)432,346
(S3×C6).6(C2×C6) = C9×C4○D12φ: C2×C6/C6 → C2 ⊆ Out S3×C6722(S3xC6).6(C2xC6)432,347
(S3×C6).7(C2×C6) = S3×D4×C9φ: C2×C6/C6 → C2 ⊆ Out S3×C6724(S3xC6).7(C2xC6)432,358
(S3×C6).8(C2×C6) = C9×D4⋊2S3φ: C2×C6/C6 → C2 ⊆ Out S3×C6724(S3xC6).8(C2xC6)432,359
(S3×C6).9(C2×C6) = C9×Q8⋊3S3φ: C2×C6/C6 → C2 ⊆ Out S3×C61444(S3xC6).9(C2xC6)432,367
(S3×C6).10(C2×C6) = C18×C3⋊D4φ: C2×C6/C6 → C2 ⊆ Out S3×C672(S3xC6).10(C2xC6)432,375
(S3×C6).11(C2×C6) = C3×S3×Dic6φ: C2×C6/C6 → C2 ⊆ Out S3×C6484(S3xC6).11(C2xC6)432,642
(S3×C6).12(C2×C6) = C3×D6.D6φ: C2×C6/C6 → C2 ⊆ Out S3×C6484(S3xC6).12(C2xC6)432,646
(S3×C6).13(C2×C6) = C3×D6.6D6φ: C2×C6/C6 → C2 ⊆ Out S3×C6484(S3xC6).13(C2xC6)432,647
(S3×C6).14(C2×C6) = S32×C12φ: C2×C6/C6 → C2 ⊆ Out S3×C6484(S3xC6).14(C2xC6)432,648
(S3×C6).15(C2×C6) = S3×C6×Dic3φ: C2×C6/C6 → C2 ⊆ Out S3×C648(S3xC6).15(C2xC6)432,651
(S3×C6).16(C2×C6) = C32×C4○D12φ: C2×C6/C6 → C2 ⊆ Out S3×C672(S3xC6).16(C2xC6)432,703
(S3×C6).17(C2×C6) = C32×D4⋊2S3φ: C2×C6/C6 → C2 ⊆ Out S3×C672(S3xC6).17(C2xC6)432,705
(S3×C6).18(C2×C6) = C32×Q8⋊3S3φ: C2×C6/C6 → C2 ⊆ Out S3×C6144(S3xC6).18(C2xC6)432,707
(S3×C6).19(C2×C6) = S3×C2×C36φ: trivial image144(S3xC6).19(C2xC6)432,345
(S3×C6).20(C2×C6) = S3×Q8×C9φ: trivial image1444(S3xC6).20(C2xC6)432,366
(S3×C6).21(C2×C6) = S3×C22×C18φ: trivial image144(S3xC6).21(C2xC6)432,557
(S3×C6).22(C2×C6) = S3×C6×C12φ: trivial image144(S3xC6).22(C2xC6)432,701
(S3×C6).23(C2×C6) = S3×Q8×C32φ: trivial image144(S3xC6).23(C2xC6)432,706

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