Extensions 1→N→G→Q→1 with N=C₉×M₄(2) and Q=C₂

Direct product G=N×Q with N=C₉×M₄(2) and Q=C₂

		d	ρ	Label	ID
M₄(2)×C₁₈		144		M4(2)xC18	288,180

Semidirect products G=N:Q with N=C₉×M₄(2) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₉×M₄(2))⋊₁C₂ = C₈⋊D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₉×M₄(2)	72	4+	(C9xM4(2)):1C2	288,118
(C₉×M₄(2))⋊₂C₂ = C₈.D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₉×M₄(2)	144	4-	(C9xM4(2)):2C2	288,119
(C₉×M₄(2))⋊₃C₂ = M₄(2)×D₉	φ: C₂/C₁ → C₂ ⊆ Out C₉×M₄(2)	72	4	(C9xM4(2)):3C2	288,116
(C₉×M₄(2))⋊₄C₂ = D₃₆.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₉×M₄(2)	144	4	(C9xM4(2)):4C2	288,117
(C₉×M₄(2))⋊₅C₂ = C₉×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₉×M₄(2)	72	4	(C9xM4(2)):5C2	288,186
(C₉×M₄(2))⋊₆C₂ = C₉×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₉×M₄(2)	144	4	(C9xM4(2)):6C2	288,187
(C₉×M₄(2))⋊₇C₂ = C₃₆.₄₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₉×M₄(2)	72	4+	(C9xM4(2)):7C2	288,31
(C₉×M₄(2))⋊₈C₂ = Dic₁₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₉×M₄(2)	72	4	(C9xM4(2)):8C2	288,32
(C₉×M₄(2))⋊₉C₂ = C₉×C₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₉×M₄(2)	72	4	(C9xM4(2)):9C2	288,50
(C₉×M₄(2))⋊₁₀C₂ = C₉×C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₉×M₄(2)	72	2	(C9xM4(2)):10C2	288,54
(C₉×M₄(2))⋊₁₁C₂ = C₉×C₈○D₄	φ: trivial image	144	2	(C9xM4(2)):11C2	288,181

Non-split extensions G=N.Q with N=C₉×M₄(2) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₉×M₄(2)).₁C₂ = C₃₆.₅₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₉×M₄(2)	144	4	(C9xM4(2)).1C2	288,29
(C₉×M₄(2)).₂C₂ = C₄.D₃₆	φ: C₂/C₁ → C₂ ⊆ Out C₉×M₄(2)	144	4-	(C9xM4(2)).2C2	288,30
(C₉×M₄(2)).₃C₂ = C₉×C₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₉×M₄(2)	144	4	(C9xM4(2)).3C2	288,51
(C₉×M₄(2)).₄C₂ = C₉×C₈.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₉×M₄(2)	144	2	(C9xM4(2)).4C2	288,58

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