Extensions 1→N→G→Q→1 with N=A₄×C₁₈ and Q=C₂

Direct product G=N×Q with N=A₄×C₁₈ and Q=C₂

		d	ρ	Label	ID
A₄×C₂×C₁₈		108		A4xC2xC18	432,546

Semidirect products G=N:Q with N=A₄×C₁₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(A₄×C₁₈)⋊₁C₂ = C₁₈×S₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₁₈	54	3	(A4xC18):1C2	432,532
(A₄×C₁₈)⋊₂C₂ = C₂×C₉⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₁₈	54	6+	(A4xC18):2C2	432,536
(A₄×C₁₈)⋊₃C₂ = C₂×A₄×D₉	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₁₈	54	6+	(A4xC18):3C2	432,540

Non-split extensions G=N.Q with N=A₄×C₁₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(A₄×C₁₈).₁C₂ = C₉×A₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₁₈	108	3	(A4xC18).1C2	432,242
(A₄×C₁₈).₂C₂ = A₄⋊Dic₉	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₁₈	108	6-	(A4xC18).2C2	432,254
(A₄×C₁₈).₃C₂ = A₄×Dic₉	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₁₈	108	6-	(A4xC18).3C2	432,266
(A₄×C₁₈).₄C₂ = A₄×C₃₆	φ: trivial image	108	3	(A4xC18).4C2	432,325

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