Extensions 1→N→G→Q→1 with N=C₂×D₄ and Q=D₉

Direct product G=N×Q with N=C₂×D₄ and Q=D₉

		d	ρ	Label	ID
C₂×D₄×D₉		72		C2xD4xD9	288,356

Semidirect products G=N:Q with N=C₂×D₄ and Q=D₉

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄)⋊₁D₉ = C₂×D₄⋊D₉	φ: D₉/C₉ → C₂ ⊆ Out C₂×D₄	144		(C2xD4):1D9	288,142
(C₂×D₄)⋊₂D₉ = D₃₆⋊₆C₂²	φ: D₉/C₉ → C₂ ⊆ Out C₂×D₄	72	4	(C2xD4):2D9	288,143
(C₂×D₄)⋊₃D₉ = C₂³⋊₂D₁₈	φ: D₉/C₉ → C₂ ⊆ Out C₂×D₄	72		(C2xD4):3D9	288,147
(C₂×D₄)⋊₄D₉ = C₃₆⋊₂D₄	φ: D₉/C₉ → C₂ ⊆ Out C₂×D₄	144		(C2xD4):4D9	288,148
(C₂×D₄)⋊₅D₉ = Dic₉⋊D₄	φ: D₉/C₉ → C₂ ⊆ Out C₂×D₄	144		(C2xD4):5D9	288,149
(C₂×D₄)⋊₆D₉ = C₃₆⋊D₄	φ: D₉/C₉ → C₂ ⊆ Out C₂×D₄	144		(C2xD4):6D9	288,150
(C₂×D₄)⋊₇D₉ = D₄⋊₆D₁₈	φ: D₉/C₉ → C₂ ⊆ Out C₂×D₄	72	4	(C2xD4):7D9	288,358
(C₂×D₄)⋊₈D₉ = C₂×D₄⋊₂D₉	φ: trivial image	144		(C2xD4):8D9	288,357

Non-split extensions G=N.Q with N=C₂×D₄ and Q=D₉

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄).₁D₉ = C₃₆.D₄	φ: D₉/C₉ → C₂ ⊆ Out C₂×D₄	72	4	(C2xD4).1D9	288,39
(C₂×D₄).₂D₉ = D₄⋊Dic₉	φ: D₉/C₉ → C₂ ⊆ Out C₂×D₄	144		(C2xD4).2D9	288,40
(C₂×D₄).₃D₉ = C₂³⋊₂Dic₉	φ: D₉/C₉ → C₂ ⊆ Out C₂×D₄	72	4	(C2xD4).3D9	288,41
(C₂×D₄).₄D₉ = C₂×D₄.D₉	φ: D₉/C₉ → C₂ ⊆ Out C₂×D₄	144		(C2xD4).4D9	288,141
(C₂×D₄).₅D₉ = C₂³.₂₃D₁₈	φ: D₉/C₉ → C₂ ⊆ Out C₂×D₄	144		(C2xD4).5D9	288,145
(C₂×D₄).₆D₉ = C₃₆.₁₇D₄	φ: D₉/C₉ → C₂ ⊆ Out C₂×D₄	144		(C2xD4).6D9	288,146
(C₂×D₄).₇D₉ = D₄×Dic₉	φ: trivial image	144		(C2xD4).7D9	288,144

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