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Extensions 1→N→G→Q→1 with N=C22×C3⋊S3 and Q=C6

Direct product G=N×Q with N=C22×C3⋊S3 and Q=C6
dρLabelID
C3⋊S3×C22×C6144C3:S3xC2^2xC6432,773

Semidirect products G=N:Q with N=C22×C3⋊S3 and Q=C6
extensionφ:Q→Out NdρLabelID
(C22×C3⋊S3)⋊1C6 = C2×He3⋊4D4φ: C6/C1 → C6 ⊆ Out C22×C3⋊S372(C2^2xC3:S3):1C6432,350
(C22×C3⋊S3)⋊2C6 = D4×C32⋊C6φ: C6/C1 → C6 ⊆ Out C22×C3⋊S33612+(C2^2xC3:S3):2C6432,360
(C22×C3⋊S3)⋊3C6 = C2×He3⋊6D4φ: C6/C1 → C6 ⊆ Out C22×C3⋊S372(C2^2xC3:S3):3C6432,377
(C22×C3⋊S3)⋊4C6 = S32×A4φ: C6/C1 → C6 ⊆ Out C22×C3⋊S32412+(C2^2xC3:S3):4C6432,749
(C22×C3⋊S3)⋊5C6 = C2×C62⋊C6φ: C6/C2 → C3 ⊆ Out C22×C3⋊S3186+(C2^2xC3:S3):5C6432,542
(C22×C3⋊S3)⋊6C6 = C23×C32⋊C6φ: C6/C2 → C3 ⊆ Out C22×C3⋊S372(C2^2xC3:S3):6C6432,558
(C22×C3⋊S3)⋊7C6 = C2×A4×C3⋊S3φ: C6/C2 → C3 ⊆ Out C22×C3⋊S354(C2^2xC3:S3):7C6432,764
(C22×C3⋊S3)⋊8C6 = C6×C3⋊D12φ: C6/C3 → C2 ⊆ Out C22×C3⋊S348(C2^2xC3:S3):8C6432,656
(C22×C3⋊S3)⋊9C6 = C3×Dic3⋊D6φ: C6/C3 → C2 ⊆ Out C22×C3⋊S3244(C2^2xC3:S3):9C6432,659
(C22×C3⋊S3)⋊10C6 = C6×C12⋊S3φ: C6/C3 → C2 ⊆ Out C22×C3⋊S3144(C2^2xC3:S3):10C6432,712
(C22×C3⋊S3)⋊11C6 = C3×D4×C3⋊S3φ: C6/C3 → C2 ⊆ Out C22×C3⋊S372(C2^2xC3:S3):11C6432,714
(C22×C3⋊S3)⋊12C6 = C6×C32⋊7D4φ: C6/C3 → C2 ⊆ Out C22×C3⋊S372(C2^2xC3:S3):12C6432,719
(C22×C3⋊S3)⋊13C6 = S32×C2×C6φ: C6/C3 → C2 ⊆ Out C22×C3⋊S348(C2^2xC3:S3):13C6432,767

Non-split extensions G=N.Q with N=C22×C3⋊S3 and Q=C6
extensionφ:Q→Out NdρLabelID
(C22×C3⋊S3).1C6 = C62.21D6φ: C6/C1 → C6 ⊆ Out C22×C3⋊S372(C2^2xC3:S3).1C6432,141
(C22×C3⋊S3).2C6 = A4×C32⋊C4φ: C6/C1 → C6 ⊆ Out C22×C3⋊S32412+(C2^2xC3:S3).2C6432,744
(C22×C3⋊S3).3C6 = C2×C4×C32⋊C6φ: C6/C2 → C3 ⊆ Out C22×C3⋊S372(C2^2xC3:S3).3C6432,349
(C22×C3⋊S3).4C6 = C3×C6.D12φ: C6/C3 → C2 ⊆ Out C22×C3⋊S348(C2^2xC3:S3).4C6432,427
(C22×C3⋊S3).5C6 = C3×C6.11D12φ: C6/C3 → C2 ⊆ Out C22×C3⋊S3144(C2^2xC3:S3).5C6432,490
(C22×C3⋊S3).6C6 = C3×C62⋊C4φ: C6/C3 → C2 ⊆ Out C22×C3⋊S3244(C2^2xC3:S3).6C6432,634
(C22×C3⋊S3).7C6 = C6×C6.D6φ: C6/C3 → C2 ⊆ Out C22×C3⋊S348(C2^2xC3:S3).7C6432,654
(C22×C3⋊S3).8C6 = C2×C6×C32⋊C4φ: C6/C3 → C2 ⊆ Out C22×C3⋊S348(C2^2xC3:S3).8C6432,765
(C22×C3⋊S3).9C6 = C3⋊S3×C2×C12φ: trivial image144(C2^2xC3:S3).9C6432,711

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