Extensions 1→N→G→Q→1 with N=C₄×Dic₉ and Q=C₂

Direct product G=N×Q with N=C₄×Dic₉ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×Dic₉		288		C2xC4xDic9	288,132

Semidirect products G=N:Q with N=C₄×Dic₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×Dic₉)⋊₁C₂ = Dic₁₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₉	72	4	(C4xDic9):1C2	288,32
(C₄×Dic₉)⋊₂C₂ = Q₈⋊₃Dic₉	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₉	72	4	(C4xDic9):2C2	288,44
(C₄×Dic₉)⋊₃C₂ = D₃₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₉	144		(C4xDic9):3C2	288,103
(C₄×Dic₉)⋊₄C₂ = D₄×Dic₉	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₉	144		(C4xDic9):4C2	288,144
(C₄×Dic₉)⋊₅C₂ = C₃₆.₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₉	144		(C4xDic9):5C2	288,146
(C₄×Dic₉)⋊₆C₂ = C₃₆⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₉	144		(C4xDic9):6C2	288,150
(C₄×Dic₉)⋊₇C₂ = C₃₆.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₉	144		(C4xDic9):7C2	288,157
(C₄×Dic₉)⋊₈C₂ = C₄²⋊₂D₉	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₉	144		(C4xDic9):8C2	288,82
(C₄×Dic₉)⋊₉C₂ = C₂³.₁₆D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₉	144		(C4xDic9):9C2	288,87
(C₄×Dic₉)⋊₁₀C₂ = C₂³.₈D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₉	144		(C4xDic9):10C2	288,89
(C₄×Dic₉)⋊₁₁C₂ = Dic₉⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₉	144		(C4xDic9):11C2	288,91
(C₄×Dic₉)⋊₁₂C₂ = Dic₉.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₉	144		(C4xDic9):12C2	288,95
(C₄×Dic₉)⋊₁₃C₂ = C₄⋊C₄⋊₇D₉	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₉	144		(C4xDic9):13C2	288,102
(C₄×Dic₉)⋊₁₄C₂ = C₄⋊C₄⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₉	144		(C4xDic9):14C2	288,108
(C₄×Dic₉)⋊₁₅C₂ = C₂³.₂₆D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₉	144		(C4xDic9):15C2	288,136
(C₄×Dic₉)⋊₁₆C₂ = C₄×C₉⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₉	144		(C4xDic9):16C2	288,138
(C₄×Dic₉)⋊₁₇C₂ = C₄²×D₉	φ: trivial image	144		(C4xDic9):17C2	288,81

Non-split extensions G=N.Q with N=C₄×Dic₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×Dic₉).₁C₂ = C₃₆⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₉	288		(C4xDic9).1C2	288,98
(C₄×Dic₉).₂C₂ = C₃₆.₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₉	288		(C4xDic9).2C2	288,100
(C₄×Dic₉).₃C₂ = Dic₉⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₉	288		(C4xDic9).3C2	288,154
(C₄×Dic₉).₄C₂ = Q₈×Dic₉	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₉	288		(C4xDic9).4C2	288,155
(C₄×Dic₉).₅C₂ = Dic₉⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₉	288		(C4xDic9).5C2	288,22
(C₄×Dic₉).₆C₂ = C₇₂⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₉	288		(C4xDic9).6C2	288,23
(C₄×Dic₉).₇C₂ = C₄×Dic₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₉	288		(C4xDic9).7C2	288,78
(C₄×Dic₉).₈C₂ = Dic₉⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₉	288		(C4xDic9).8C2	288,97
(C₄×Dic₉).₉C₂ = Dic₉.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₉	288		(C4xDic9).9C2	288,99
(C₄×Dic₉).₁₀C₂ = C₈×Dic₉	φ: trivial image	288		(C4xDic9).10C2	288,21

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