Extensions 1→N→G→Q→1 with N=D₁₂ and Q=C₃×C₆

Direct product G=N×Q with N=D₁₂ and Q=C₃×C₆

		d	ρ	Label	ID
C₃×C₆×D₁₂		144		C3xC6xD12	432,702

Semidirect products G=N:Q with N=D₁₂ and Q=C₃×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂⋊₁(C₃×C₆) = C₃²×D₂₄	φ: C₃×C₆/C₃² → C₂ ⊆ Out D₁₂	144		D12:1(C3xC6)	432,467
D₁₂⋊₂(C₃×C₆) = C₃²×D₄⋊S₃	φ: C₃×C₆/C₃² → C₂ ⊆ Out D₁₂	72		D12:2(C3xC6)	432,475
D₁₂⋊₃(C₃×C₆) = S₃×D₄×C₃²	φ: C₃×C₆/C₃² → C₂ ⊆ Out D₁₂	72		D12:3(C3xC6)	432,704
D₁₂⋊₄(C₃×C₆) = C₃²×Q₈⋊₃S₃	φ: C₃×C₆/C₃² → C₂ ⊆ Out D₁₂	144		D12:4(C3xC6)	432,707
D₁₂⋊₅(C₃×C₆) = C₃²×C₄○D₁₂	φ: trivial image	72		D12:5(C3xC6)	432,703

Non-split extensions G=N.Q with N=D₁₂ and Q=C₃×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂.₁(C₃×C₆) = C₃²×C₂₄⋊C₂	φ: C₃×C₆/C₃² → C₂ ⊆ Out D₁₂	144		D12.1(C3xC6)	432,466
D₁₂.₂(C₃×C₆) = C₃²×Q₈⋊₂S₃	φ: C₃×C₆/C₃² → C₂ ⊆ Out D₁₂	144		D12.2(C3xC6)	432,477

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