Extensions 1→N→G→Q→1 with N=C₉×Dic₆ and Q=C₂

Direct product G=N×Q with N=C₉×Dic₆ and Q=C₂

		d	ρ	Label	ID
C₁₈×Dic₆		144		C18xDic6	432,341

Semidirect products G=N:Q with N=C₉×Dic₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₉×Dic₆)⋊₁C₂ = Dic₆⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out C₉×Dic₆	144	4	(C9xDic6):1C2	432,72
(C₉×Dic₆)⋊₂C₂ = C₁₈.D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₉×Dic₆	72	4+	(C9xDic6):2C2	432,73
(C₉×Dic₆)⋊₃C₂ = D₉×Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₉×Dic₆	144	4-	(C9xDic6):3C2	432,280
(C₉×Dic₆)⋊₄C₂ = D₁₈.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₉×Dic₆	72	4	(C9xDic6):4C2	432,281
(C₉×Dic₆)⋊₅C₂ = Dic₆⋊₅D₉	φ: C₂/C₁ → C₂ ⊆ Out C₉×Dic₆	72	4+	(C9xDic6):5C2	432,282
(C₉×Dic₆)⋊₆C₂ = Dic₁₈⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₉×Dic₆	72	4	(C9xDic6):6C2	432,283
(C₉×Dic₆)⋊₇C₂ = C₉×C₂₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₉×Dic₆	144	2	(C9xDic6):7C2	432,111
(C₉×Dic₆)⋊₈C₂ = C₉×D₄.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₉×Dic₆	72	4	(C9xDic6):8C2	432,151
(C₉×Dic₆)⋊₉C₂ = C₉×D₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₉×Dic₆	72	4	(C9xDic6):9C2	432,359
(C₉×Dic₆)⋊₁₀C₂ = S₃×Q₈×C₉	φ: C₂/C₁ → C₂ ⊆ Out C₉×Dic₆	144	4	(C9xDic6):10C2	432,366
(C₉×Dic₆)⋊₁₁C₂ = C₉×C₄○D₁₂	φ: trivial image	72	2	(C9xDic6):11C2	432,347

Non-split extensions G=N.Q with N=C₉×Dic₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₉×Dic₆).₁C₂ = C₁₂.D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₉×Dic₆	144	4	(C9xDic6).1C2	432,74
(C₉×Dic₆).₂C₂ = C₉⋊Dic₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₉×Dic₆	144	4-	(C9xDic6).2C2	432,75
(C₉×Dic₆).₃C₂ = C₉×Dic₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₉×Dic₆	144	2	(C9xDic6).3C2	432,113
(C₉×Dic₆).₄C₂ = C₉×C₃⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₉×Dic₆	144	4	(C9xDic6).4C2	432,159

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