Extensions 1→N→G→Q→1 with N=C₂²×Dic₉ and Q=C₂

Direct product G=N×Q with N=C₂²×Dic₉ and Q=C₂

		d	ρ	Label	ID
C₂³×Dic₉		288		C2^3xDic9	288,365

Semidirect products G=N:Q with N=C₂²×Dic₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×Dic₉)⋊₁C₂ = Dic₉⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₉	144		(C2^2xDic9):1C2	288,91
(C₂²×Dic₉)⋊₂C₂ = C₂².₄D₃₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₉	144		(C2^2xDic9):2C2	288,96
(C₂²×Dic₉)⋊₃C₂ = C₂×D₁₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₉	144		(C2^2xDic9):3C2	288,137
(C₂²×Dic₉)⋊₄C₂ = D₄×Dic₉	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₉	144		(C2^2xDic9):4C2	288,144
(C₂²×Dic₉)⋊₅C₂ = C₂³.₂₃D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₉	144		(C2^2xDic9):5C2	288,145
(C₂²×Dic₉)⋊₆C₂ = Dic₉⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₉	144		(C2^2xDic9):6C2	288,149
(C₂²×Dic₉)⋊₇C₂ = C₂×C₁₈.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₉	144		(C2^2xDic9):7C2	288,162
(C₂²×Dic₉)⋊₈C₂ = C₂×D₄⋊₂D₉	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₉	144		(C2^2xDic9):8C2	288,357
(C₂²×Dic₉)⋊₉C₂ = C₂²×C₉⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₉	144		(C2^2xDic9):9C2	288,366
(C₂²×Dic₉)⋊₁₀C₂ = C₂²×C₄×D₉	φ: trivial image	144		(C2^2xDic9):10C2	288,353

Non-split extensions G=N.Q with N=C₂²×Dic₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×Dic₉).₁C₂ = C₁₈.C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₉	288		(C2^2xDic9).1C2	288,38
(C₂²×Dic₉).₂C₂ = C₂³.₁₆D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₉	144		(C2^2xDic9).2C2	288,87
(C₂²×Dic₉).₃C₂ = C₂²⋊₂Dic₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₉	144		(C2^2xDic9).3C2	288,88
(C₂²×Dic₉).₄C₂ = C₂×Dic₉⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₉	288		(C2^2xDic9).4C2	288,133
(C₂²×Dic₉).₅C₂ = C₂×C₄⋊Dic₉	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₉	288		(C2^2xDic9).5C2	288,135
(C₂²×Dic₉).₆C₂ = C₂²×Dic₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₉	288		(C2^2xDic9).6C2	288,352
(C₂²×Dic₉).₇C₂ = C₂×C₄×Dic₉	φ: trivial image	288		(C2^2xDic9).7C2	288,132

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