Extensions 1→N→G→Q→1 with N=C₃×A₄ and Q=C₁₂

Direct product G=N×Q with N=C₃×A₄ and Q=C₁₂

		d	ρ	Label	ID
A₄×C₃×C₁₂		108		A4xC3xC12	432,697

Semidirect products G=N:Q with N=C₃×A₄ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×A₄)⋊C₁₂ = C₆²⋊₅Dic₃	φ: C₁₂/C₂ → C₆ ⊆ Out C₃×A₄	36	6-	(C3xA4):C12	432,251
(C₃×A₄)⋊₂C₁₂ = C₄×C₃²⋊A₄	φ: C₁₂/C₄ → C₃ ⊆ Out C₃×A₄	36	3	(C3xA4):2C12	432,333
(C₃×A₄)⋊₃C₁₂ = C₃²×A₄⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Out C₃×A₄	108		(C3xA4):3C12	432,615
(C₃×A₄)⋊₄C₁₂ = C₃×C₆.₇S₄	φ: C₁₂/C₆ → C₂ ⊆ Out C₃×A₄	36	6	(C3xA4):4C12	432,618
(C₃×A₄)⋊₅C₁₂ = C₃×Dic₃×A₄	φ: C₁₂/C₆ → C₂ ⊆ Out C₃×A₄	36	6	(C3xA4):5C12	432,624

Non-split extensions G=N.Q with N=C₃×A₄ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×A₄).C₁₂ = C₄×C₉⋊A₄	φ: C₁₂/C₄ → C₃ ⊆ Out C₃×A₄	108	3	(C3xA4).C12	432,326
(C₃×A₄).₂C₁₂ = C₉×A₄⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Out C₃×A₄	108	3	(C3xA4).2C12	432,242
(C₃×A₄).₃C₁₂ = A₄×C₃₆	φ: trivial image	108	3	(C3xA4).3C12	432,325

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