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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊Dic₉ = C₂³⋊₂Dic₉	φ: Dic₉/C₉ → C₄ ⊆ Aut C₂×C₄	72	4	(C2xC4):Dic9	288,41
(C₂×C₄)⋊₂Dic₉ = C₁₈.C₄²	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₂×C₄	288		(C2xC4):2Dic9	288,38
(C₂×C₄)⋊₃Dic₉ = C₂×C₄⋊Dic₉	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₂×C₄	288		(C2xC4):3Dic9	288,135
(C₂×C₄)⋊₄Dic₉ = C₂³.₂₆D₁₈	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₂×C₄	144		(C2xC4):4Dic9	288,136

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).Dic₉ = C₃₆.₉D₄	φ: Dic₉/C₉ → C₄ ⊆ Aut C₂×C₄	144	4	(C2xC4).Dic9	288,42
(C₂×C₄).₂Dic₉ = C₄².D₉	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₂×C₄	288		(C2xC4).2Dic9	288,10
(C₂×C₄).₃Dic₉ = C₃₆⋊C₈	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₂×C₄	288		(C2xC4).3Dic9	288,11
(C₂×C₄).₄Dic₉ = C₃₆.₅₅D₄	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₂×C₄	144		(C2xC4).4Dic9	288,37
(C₂×C₄).₅Dic₉ = C₃₆.C₈	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₂×C₄	144	2	(C2xC4).5Dic9	288,19
(C₂×C₄).₆Dic₉ = C₂×C₄.Dic₉	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₂×C₄	144		(C2xC4).6Dic9	288,131
(C₂×C₄).₇Dic₉ = C₄×C₉⋊C₈	central extension (φ=1)	288		(C2xC4).7Dic9	288,9
(C₂×C₄).₈Dic₉ = C₂×C₉⋊C₁₆	central extension (φ=1)	288		(C2xC4).8Dic9	288,18
(C₂×C₄).₉Dic₉ = C₂²×C₉⋊C₈	central extension (φ=1)	288		(C2xC4).9Dic9	288,130

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