Extensions 1→N→G→Q→1 with N=C₆×A₄ and Q=C₆

Direct product G=N×Q with N=C₆×A₄ and Q=C₆

		d	ρ	Label	ID
A₄×C₆²		108		A4xC6^2	432,770

Semidirect products G=N:Q with N=C₆×A₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×A₄)⋊C₆ = C₂×C₆²⋊S₃	φ: C₆/C₁ → C₆ ⊆ Out C₆×A₄	18	6+	(C6xA4):C6	432,535
(C₆×A₄)⋊₂C₆ = C₂²×C₃²⋊A₄	φ: C₆/C₂ → C₃ ⊆ Out C₆×A₄	36		(C6xA4):2C6	432,550
(C₆×A₄)⋊₃C₆ = C₃×C₆×S₄	φ: C₆/C₃ → C₂ ⊆ Out C₆×A₄	54		(C6xA4):3C6	432,760
(C₆×A₄)⋊₄C₆ = C₆×C₃⋊S₄	φ: C₆/C₃ → C₂ ⊆ Out C₆×A₄	36	6	(C6xA4):4C6	432,761
(C₆×A₄)⋊₅C₆ = S₃×C₆×A₄	φ: C₆/C₃ → C₂ ⊆ Out C₆×A₄	36	6	(C6xA4):5C6	432,763

Non-split extensions G=N.Q with N=C₆×A₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×A₄).C₆ = C₆²⋊₅Dic₃	φ: C₆/C₁ → C₆ ⊆ Out C₆×A₄	36	6-	(C6xA4).C6	432,251
(C₆×A₄).₂C₆ = C₄×C₉⋊A₄	φ: C₆/C₂ → C₃ ⊆ Out C₆×A₄	108	3	(C6xA4).2C6	432,326
(C₆×A₄).₃C₆ = C₄×C₃²⋊A₄	φ: C₆/C₂ → C₃ ⊆ Out C₆×A₄	36	3	(C6xA4).3C6	432,333
(C₆×A₄).₄C₆ = C₂²×C₉⋊A₄	φ: C₆/C₂ → C₃ ⊆ Out C₆×A₄	108		(C6xA4).4C6	432,547
(C₆×A₄).₅C₆ = C₉×A₄⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₆×A₄	108	3	(C6xA4).5C6	432,242
(C₆×A₄).₆C₆ = C₁₈×S₄	φ: C₆/C₃ → C₂ ⊆ Out C₆×A₄	54	3	(C6xA4).6C6	432,532
(C₆×A₄).₇C₆ = C₃²×A₄⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₆×A₄	108		(C6xA4).7C6	432,615
(C₆×A₄).₈C₆ = C₃×C₆.₇S₄	φ: C₆/C₃ → C₂ ⊆ Out C₆×A₄	36	6	(C6xA4).8C6	432,618
(C₆×A₄).₉C₆ = C₃×Dic₃×A₄	φ: C₆/C₃ → C₂ ⊆ Out C₆×A₄	36	6	(C6xA4).9C6	432,624
(C₆×A₄).₁₀C₆ = A₄×C₃₆	φ: trivial image	108	3	(C6xA4).10C6	432,325
(C₆×A₄).₁₁C₆ = A₄×C₂×C₁₈	φ: trivial image	108		(C6xA4).11C6	432,546
(C₆×A₄).₁₂C₆ = A₄×C₃×C₁₂	φ: trivial image	108		(C6xA4).12C6	432,697

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