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Extensions 1→N→G→Q→1 with N=D6 and Q=C2×C12

Direct product G=N×Q with N=D6 and Q=C2×C12
dρLabelID
S3×C22×C1296S3xC2^2xC12288,989

Semidirect products G=N:Q with N=D6 and Q=C2×C12
extensionφ:Q→Out NdρLabelID
D6⋊1(C2×C12) = C12×D12φ: C2×C12/C12 → C2 ⊆ Out D696D6:1(C2xC12)288,644
D6⋊2(C2×C12) = C3×Dic3⋊4D4φ: C2×C12/C12 → C2 ⊆ Out D648D6:2(C2xC12)288,652
D6⋊3(C2×C12) = C3×Dic3⋊5D4φ: C2×C12/C12 → C2 ⊆ Out D696D6:3(C2xC12)288,664
D6⋊4(C2×C12) = C12×C3⋊D4φ: C2×C12/C12 → C2 ⊆ Out D648D6:4(C2xC12)288,699
D6⋊5(C2×C12) = C3×S3×C22⋊C4φ: C2×C12/C2×C6 → C2 ⊆ Out D648D6:5(C2xC12)288,651
D6⋊6(C2×C12) = C6×D6⋊C4φ: C2×C12/C2×C6 → C2 ⊆ Out D696D6:6(C2xC12)288,698

Non-split extensions G=N.Q with N=D6 and Q=C2×C12
extensionφ:Q→Out NdρLabelID
D6.1(C2×C12) = C3×C8○D12φ: C2×C12/C12 → C2 ⊆ Out D6482D6.1(C2xC12)288,672
D6.2(C2×C12) = C3×D12.C4φ: C2×C12/C12 → C2 ⊆ Out D6484D6.2(C2xC12)288,678
D6.3(C2×C12) = C3×C42⋊2S3φ: C2×C12/C2×C6 → C2 ⊆ Out D696D6.3(C2xC12)288,643
D6.4(C2×C12) = C3×C4⋊C4⋊7S3φ: C2×C12/C2×C6 → C2 ⊆ Out D696D6.4(C2xC12)288,663
D6.5(C2×C12) = C6×C8⋊S3φ: C2×C12/C2×C6 → C2 ⊆ Out D696D6.5(C2xC12)288,671
D6.6(C2×C12) = S3×C4×C12φ: trivial image96D6.6(C2xC12)288,642
D6.7(C2×C12) = C3×S3×C4⋊C4φ: trivial image96D6.7(C2xC12)288,662
D6.8(C2×C12) = S3×C2×C24φ: trivial image96D6.8(C2xC12)288,670
D6.9(C2×C12) = C3×S3×M4(2)φ: trivial image484D6.9(C2xC12)288,677

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