Extensions 1→N→G→Q→1 with N=C₉×C₂²⋊C₄ and Q=C₂

Direct product G=N×Q with N=C₉×C₂²⋊C₄ and Q=C₂

		d	ρ	Label	ID
C₂²⋊C₄×C₁₈		144		C2^2:C4xC18	288,165

Semidirect products G=N:Q with N=C₉×C₂²⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₉×C₂²⋊C₄)⋊₁C₂ = C₂².D₃₆	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₂²⋊C₄	72	4	(C9xC2^2:C4):1C2	288,13
(C₉×C₂²⋊C₄)⋊₂C₂ = C₉×C₂³⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₂²⋊C₄	72	4	(C9xC2^2:C4):2C2	288,49
(C₉×C₂²⋊C₄)⋊₃C₂ = C₂²⋊₃D₃₆	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₂²⋊C₄	72		(C9xC2^2:C4):3C2	288,92
(C₉×C₂²⋊C₄)⋊₄C₂ = C₂².₄D₃₆	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₂²⋊C₄	144		(C9xC2^2:C4):4C2	288,96
(C₉×C₂²⋊C₄)⋊₅C₂ = C₂³.₉D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₂²⋊C₄	144		(C9xC2^2:C4):5C2	288,93
(C₉×C₂²⋊C₄)⋊₆C₂ = D₁₈⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₂²⋊C₄	144		(C9xC2^2:C4):6C2	288,94
(C₉×C₂²⋊C₄)⋊₇C₂ = Dic₉.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₂²⋊C₄	144		(C9xC2^2:C4):7C2	288,95
(C₉×C₂²⋊C₄)⋊₈C₂ = C₂²⋊C₄×D₉	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₂²⋊C₄	72		(C9xC2^2:C4):8C2	288,90
(C₉×C₂²⋊C₄)⋊₉C₂ = Dic₉⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₂²⋊C₄	144		(C9xC2^2:C4):9C2	288,91
(C₉×C₂²⋊C₄)⋊₁₀C₂ = C₉×C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₂²⋊C₄	72		(C9xC2^2:C4):10C2	288,170
(C₉×C₂²⋊C₄)⋊₁₁C₂ = C₉×C₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₂²⋊C₄	144		(C9xC2^2:C4):11C2	288,171
(C₉×C₂²⋊C₄)⋊₁₂C₂ = C₉×C₂².D₄	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₂²⋊C₄	144		(C9xC2^2:C4):12C2	288,173
(C₉×C₂²⋊C₄)⋊₁₃C₂ = C₉×C₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₂²⋊C₄	144		(C9xC2^2:C4):13C2	288,174
(C₉×C₂²⋊C₄)⋊₁₄C₂ = D₄×C₃₆	φ: trivial image	144		(C9xC2^2:C4):14C2	288,168

Non-split extensions G=N.Q with N=C₉×C₂²⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₉×C₂²⋊C₄).₁C₂ = C₂²⋊₂Dic₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₂²⋊C₄	144		(C9xC2^2:C4).1C2	288,88
(C₉×C₂²⋊C₄).₂C₂ = C₂³.₈D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₂²⋊C₄	144		(C9xC2^2:C4).2C2	288,89
(C₉×C₂²⋊C₄).₃C₂ = C₂³.₁₆D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₂²⋊C₄	144		(C9xC2^2:C4).3C2	288,87
(C₉×C₂²⋊C₄).₄C₂ = C₉×C₂²⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₂²⋊C₄	144		(C9xC2^2:C4).4C2	288,172
(C₉×C₂²⋊C₄).₅C₂ = C₉×C₄²⋊₂C₂	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₂²⋊C₄	144		(C9xC2^2:C4).5C2	288,176
(C₉×C₂²⋊C₄).₆C₂ = C₉×C₄²⋊C₂	φ: trivial image	144		(C9xC2^2:C4).6C2	288,167

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