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Extensions 1→N→G→Q→1 with N=C2×C3⋊S3 and Q=C12

Direct product G=N×Q with N=C2×C3⋊S3 and Q=C12
dρLabelID
C3⋊S3×C2×C12144C3:S3xC2xC12432,711

Semidirect products G=N:Q with N=C2×C3⋊S3 and Q=C12
extensionφ:Q→Out NdρLabelID
(C2×C3⋊S3)⋊C12 = C62.21D6φ: C12/C2 → C6 ⊆ Out C2×C3⋊S372(C2xC3:S3):C12432,141
(C2×C3⋊S3)⋊2C12 = C2×C4×C32⋊C6φ: C12/C4 → C3 ⊆ Out C2×C3⋊S372(C2xC3:S3):2C12432,349
(C2×C3⋊S3)⋊3C12 = C3×C6.D12φ: C12/C6 → C2 ⊆ Out C2×C3⋊S348(C2xC3:S3):3C12432,427
(C2×C3⋊S3)⋊4C12 = C3×C6.11D12φ: C12/C6 → C2 ⊆ Out C2×C3⋊S3144(C2xC3:S3):4C12432,490
(C2×C3⋊S3)⋊5C12 = C3×C62⋊C4φ: C12/C6 → C2 ⊆ Out C2×C3⋊S3244(C2xC3:S3):5C12432,634
(C2×C3⋊S3)⋊6C12 = C6×C6.D6φ: C12/C6 → C2 ⊆ Out C2×C3⋊S348(C2xC3:S3):6C12432,654
(C2×C3⋊S3)⋊7C12 = C2×C6×C32⋊C4φ: C12/C6 → C2 ⊆ Out C2×C3⋊S348(C2xC3:S3):7C12432,765

Non-split extensions G=N.Q with N=C2×C3⋊S3 and Q=C12
extensionφ:Q→Out NdρLabelID
(C2×C3⋊S3).C12 = He3⋊5M4(2)φ: C12/C2 → C6 ⊆ Out C2×C3⋊S3726(C2xC3:S3).C12432,116
(C2×C3⋊S3).2C12 = C6×F9φ: C12/C3 → C4 ⊆ Out C2×C3⋊S3488(C2xC3:S3).2C12432,751
(C2×C3⋊S3).3C12 = C8×C32⋊C6φ: C12/C4 → C3 ⊆ Out C2×C3⋊S3726(C2xC3:S3).3C12432,115
(C2×C3⋊S3).4C12 = C3×C12.29D6φ: C12/C6 → C2 ⊆ Out C2×C3⋊S3484(C2xC3:S3).4C12432,415
(C2×C3⋊S3).5C12 = C3×C12.31D6φ: C12/C6 → C2 ⊆ Out C2×C3⋊S3484(C2xC3:S3).5C12432,417
(C2×C3⋊S3).6C12 = C3×C24⋊S3φ: C12/C6 → C2 ⊆ Out C2×C3⋊S3144(C2xC3:S3).6C12432,481
(C2×C3⋊S3).7C12 = C3×C3⋊S3⋊3C8φ: C12/C6 → C2 ⊆ Out C2×C3⋊S3484(C2xC3:S3).7C12432,628
(C2×C3⋊S3).8C12 = C3×C32⋊M4(2)φ: C12/C6 → C2 ⊆ Out C2×C3⋊S3484(C2xC3:S3).8C12432,629
(C2×C3⋊S3).9C12 = C3⋊S3×C24φ: trivial image144(C2xC3:S3).9C12432,480

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