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Extensions 1→N→G→Q→1 with N=Dic3 and Q=C2×C12

Direct product G=N×Q with N=Dic3 and Q=C2×C12
dρLabelID
Dic3×C2×C1296Dic3xC2xC12288,693

Semidirect products G=N:Q with N=Dic3 and Q=C2×C12
extensionφ:Q→Out NdρLabelID
Dic3⋊1(C2×C12) = C3×Dic3⋊4D4φ: C2×C12/C12 → C2 ⊆ Out Dic348Dic3:1(C2xC12)288,652
Dic3⋊2(C2×C12) = C12×C3⋊D4φ: C2×C12/C12 → C2 ⊆ Out Dic348Dic3:2(C2xC12)288,699
Dic3⋊3(C2×C12) = C3×S3×C4⋊C4φ: C2×C12/C2×C6 → C2 ⊆ Out Dic396Dic3:3(C2xC12)288,662
Dic3⋊4(C2×C12) = C6×Dic3⋊C4φ: C2×C12/C2×C6 → C2 ⊆ Out Dic396Dic3:4(C2xC12)288,694
Dic3⋊5(C2×C12) = S3×C4×C12φ: trivial image96Dic3:5(C2xC12)288,642

Non-split extensions G=N.Q with N=Dic3 and Q=C2×C12
extensionφ:Q→Out NdρLabelID
Dic3.1(C2×C12) = C12×Dic6φ: C2×C12/C12 → C2 ⊆ Out Dic396Dic3.1(C2xC12)288,639
Dic3.2(C2×C12) = C3×Dic6⋊C4φ: C2×C12/C12 → C2 ⊆ Out Dic396Dic3.2(C2xC12)288,658
Dic3.3(C2×C12) = C3×C8○D12φ: C2×C12/C12 → C2 ⊆ Out Dic3482Dic3.3(C2xC12)288,672
Dic3.4(C2×C12) = C3×D12.C4φ: C2×C12/C12 → C2 ⊆ Out Dic3484Dic3.4(C2xC12)288,678
Dic3.5(C2×C12) = C3×C42⋊2S3φ: C2×C12/C2×C6 → C2 ⊆ Out Dic396Dic3.5(C2xC12)288,643
Dic3.6(C2×C12) = C6×C8⋊S3φ: C2×C12/C2×C6 → C2 ⊆ Out Dic396Dic3.6(C2xC12)288,671
Dic3.7(C2×C12) = C3×S3×M4(2)φ: C2×C12/C2×C6 → C2 ⊆ Out Dic3484Dic3.7(C2xC12)288,677
Dic3.8(C2×C12) = C3×C23.16D6φ: trivial image48Dic3.8(C2xC12)288,648
Dic3.9(C2×C12) = C3×C4⋊C4⋊7S3φ: trivial image96Dic3.9(C2xC12)288,663
Dic3.10(C2×C12) = S3×C2×C24φ: trivial image96Dic3.10(C2xC12)288,670

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