# Extensions 1→N→G→Q→1 with N=S3×C2×C4 and Q=C6

Direct product G=N×Q with N=S3×C2×C4 and Q=C6
dρLabelID
S3×C22×C1296S3xC2^2xC12288,989

Semidirect products G=N:Q with N=S3×C2×C4 and Q=C6
extensionφ:Q→Out NdρLabelID
(S3×C2×C4)⋊1C6 = C3×C12⋊D4φ: C6/C3C2 ⊆ Out S3×C2×C496(S3xC2xC4):1C6288,666
(S3×C2×C4)⋊2C6 = C3×D63D4φ: C6/C3C2 ⊆ Out S3×C2×C448(S3xC2xC4):2C6288,709
(S3×C2×C4)⋊3C6 = S3×C6×D4φ: C6/C3C2 ⊆ Out S3×C2×C448(S3xC2xC4):3C6288,992
(S3×C2×C4)⋊4C6 = C6×D42S3φ: C6/C3C2 ⊆ Out S3×C2×C448(S3xC2xC4):4C6288,993
(S3×C2×C4)⋊5C6 = C6×Q83S3φ: C6/C3C2 ⊆ Out S3×C2×C496(S3xC2xC4):5C6288,996
(S3×C2×C4)⋊6C6 = C3×S3×C4○D4φ: C6/C3C2 ⊆ Out S3×C2×C4484(S3xC2xC4):6C6288,998
(S3×C2×C4)⋊7C6 = C12×D12φ: C6/C3C2 ⊆ Out S3×C2×C496(S3xC2xC4):7C6288,644
(S3×C2×C4)⋊8C6 = C3×S3×C22⋊C4φ: C6/C3C2 ⊆ Out S3×C2×C448(S3xC2xC4):8C6288,651
(S3×C2×C4)⋊9C6 = C3×Dic34D4φ: C6/C3C2 ⊆ Out S3×C2×C448(S3xC2xC4):9C6288,652
(S3×C2×C4)⋊10C6 = C3×C23.9D6φ: C6/C3C2 ⊆ Out S3×C2×C448(S3xC2xC4):10C6288,654
(S3×C2×C4)⋊11C6 = C3×Dic3⋊D4φ: C6/C3C2 ⊆ Out S3×C2×C448(S3xC2xC4):11C6288,655
(S3×C2×C4)⋊12C6 = C3×Dic35D4φ: C6/C3C2 ⊆ Out S3×C2×C496(S3xC2xC4):12C6288,664
(S3×C2×C4)⋊13C6 = C3×D6.D4φ: C6/C3C2 ⊆ Out S3×C2×C496(S3xC2xC4):13C6288,665
(S3×C2×C4)⋊14C6 = C12×C3⋊D4φ: C6/C3C2 ⊆ Out S3×C2×C448(S3xC2xC4):14C6288,699
(S3×C2×C4)⋊15C6 = C6×C4○D12φ: C6/C3C2 ⊆ Out S3×C2×C448(S3xC2xC4):15C6288,991

Non-split extensions G=N.Q with N=S3×C2×C4 and Q=C6
extensionφ:Q→Out NdρLabelID
(S3×C2×C4).1C6 = C3×C4⋊C47S3φ: C6/C3C2 ⊆ Out S3×C2×C496(S3xC2xC4).1C6288,663
(S3×C2×C4).2C6 = C3×C4.D12φ: C6/C3C2 ⊆ Out S3×C2×C496(S3xC2xC4).2C6288,668
(S3×C2×C4).3C6 = C3×S3×M4(2)φ: C6/C3C2 ⊆ Out S3×C2×C4484(S3xC2xC4).3C6288,677
(S3×C2×C4).4C6 = C3×D63Q8φ: C6/C3C2 ⊆ Out S3×C2×C496(S3xC2xC4).4C6288,717
(S3×C2×C4).5C6 = S3×C6×Q8φ: C6/C3C2 ⊆ Out S3×C2×C496(S3xC2xC4).5C6288,995
(S3×C2×C4).6C6 = C3×D6⋊C8φ: C6/C3C2 ⊆ Out S3×C2×C496(S3xC2xC4).6C6288,254
(S3×C2×C4).7C6 = C3×C422S3φ: C6/C3C2 ⊆ Out S3×C2×C496(S3xC2xC4).7C6288,643
(S3×C2×C4).8C6 = C3×S3×C4⋊C4φ: C6/C3C2 ⊆ Out S3×C2×C496(S3xC2xC4).8C6288,662
(S3×C2×C4).9C6 = C3×D6⋊Q8φ: C6/C3C2 ⊆ Out S3×C2×C496(S3xC2xC4).9C6288,667
(S3×C2×C4).10C6 = C6×C8⋊S3φ: C6/C3C2 ⊆ Out S3×C2×C496(S3xC2xC4).10C6288,671
(S3×C2×C4).11C6 = S3×C4×C12φ: trivial image96(S3xC2xC4).11C6288,642
(S3×C2×C4).12C6 = S3×C2×C24φ: trivial image96(S3xC2xC4).12C6288,670

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