Extensions 1→N→G→Q→1 with N=D₆ and Q=C₃×C₁₂

Direct product G=N×Q with N=D₆ and Q=C₃×C₁₂

		d	ρ	Label	ID
S₃×C₆×C₁₂		144		S3xC6xC12	432,701

Semidirect products G=N:Q with N=D₆ and Q=C₃×C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊(C₃×C₁₂) = C₃²×D₆⋊C₄	φ: C₃×C₁₂/C₃×C₆ → C₂ ⊆ Out D₆	144		D6:(C3xC12)	432,474

Non-split extensions G=N.Q with N=D₆ and Q=C₃×C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.(C₃×C₁₂) = C₃²×C₈⋊S₃	φ: C₃×C₁₂/C₃×C₆ → C₂ ⊆ Out D₆	144		D6.(C3xC12)	432,465
D₆.₂(C₃×C₁₂) = S₃×C₃×C₂₄	φ: trivial image	144		D6.2(C3xC12)	432,464

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Extensions 1→N→G→Q→1 with N=D6 and Q=C3×C12