Extensions 1→N→G→Q→1 with N=C₆xA₄ and Q=C₆

Direct product G=NxQ with N=C₆xA₄ and Q=C₆

		d	ρ	Label	ID
A₄xC₆²		108		A4xC6^2	432,770

Semidirect products G=N:Q with N=C₆xA₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆xA₄):C₆ = C₂xC₆²:S₃	φ: C₆/C₁ → C₆ ⊆ Out C₆xA₄	18	6+	(C6xA4):C6	432,535
(C₆xA₄):₂C₆ = C₂²xC₃²:A₄	φ: C₆/C₂ → C₃ ⊆ Out C₆xA₄	36		(C6xA4):2C6	432,550
(C₆xA₄):₃C₆ = C₃xC₆xS₄	φ: C₆/C₃ → C₂ ⊆ Out C₆xA₄	54		(C6xA4):3C6	432,760
(C₆xA₄):₄C₆ = C₆xC₃:S₄	φ: C₆/C₃ → C₂ ⊆ Out C₆xA₄	36	6	(C6xA4):4C6	432,761
(C₆xA₄):₅C₆ = S₃xC₆xA₄	φ: C₆/C₃ → C₂ ⊆ Out C₆xA₄	36	6	(C6xA4):5C6	432,763

Non-split extensions G=N.Q with N=C₆xA₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆xA₄).C₆ = C₆²:₅Dic₃	φ: C₆/C₁ → C₆ ⊆ Out C₆xA₄	36	6-	(C6xA4).C6	432,251
(C₆xA₄).₂C₆ = C₄xC₉:A₄	φ: C₆/C₂ → C₃ ⊆ Out C₆xA₄	108	3	(C6xA4).2C6	432,326
(C₆xA₄).₃C₆ = C₄xC₃²:A₄	φ: C₆/C₂ → C₃ ⊆ Out C₆xA₄	36	3	(C6xA4).3C6	432,333
(C₆xA₄).₄C₆ = C₂²xC₉:A₄	φ: C₆/C₂ → C₃ ⊆ Out C₆xA₄	108		(C6xA4).4C6	432,547
(C₆xA₄).₅C₆ = C₉xA₄:C₄	φ: C₆/C₃ → C₂ ⊆ Out C₆xA₄	108	3	(C6xA4).5C6	432,242
(C₆xA₄).₆C₆ = C₁₈xS₄	φ: C₆/C₃ → C₂ ⊆ Out C₆xA₄	54	3	(C6xA4).6C6	432,532
(C₆xA₄).₇C₆ = C₃²xA₄:C₄	φ: C₆/C₃ → C₂ ⊆ Out C₆xA₄	108		(C6xA4).7C6	432,615
(C₆xA₄).₈C₆ = C₃xC₆.₇S₄	φ: C₆/C₃ → C₂ ⊆ Out C₆xA₄	36	6	(C6xA4).8C6	432,618
(C₆xA₄).₉C₆ = C₃xDic₃xA₄	φ: C₆/C₃ → C₂ ⊆ Out C₆xA₄	36	6	(C6xA4).9C6	432,624
(C₆xA₄).₁₀C₆ = A₄xC₃₆	φ: trivial image	108	3	(C6xA4).10C6	432,325
(C₆xA₄).₁₁C₆ = A₄xC₂xC₁₈	φ: trivial image	108		(C6xA4).11C6	432,546
(C₆xA₄).₁₂C₆ = A₄xC₃xC₁₂	φ: trivial image	108		(C6xA4).12C6	432,697

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