Extensions 1→N→G→Q→1 with N=C₉×C₄○D₄ and Q=C₂

Direct product G=N×Q with N=C₉×C₄○D₄ and Q=C₂

		d	ρ	Label	ID
C₄○D₄×C₁₈		144		C4oD4xC18	288,370

Semidirect products G=N:Q with N=C₉×C₄○D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₉×C₄○D₄)⋊₁C₂ = D₄⋊D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄○D₄	72	4+	(C9xC4oD4):1C2	288,160
(C₉×C₄○D₄)⋊₂C₂ = D₄.₉D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄○D₄	144	4	(C9xC4oD4):2C2	288,161
(C₉×C₄○D₄)⋊₃C₂ = C₄○D₄×D₉	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄○D₄	72	4	(C9xC4oD4):3C2	288,362
(C₉×C₄○D₄)⋊₄C₂ = D₄⋊₈D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄○D₄	72	4+	(C9xC4oD4):4C2	288,363
(C₉×C₄○D₄)⋊₅C₂ = D₄.₁₀D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄○D₄	144	4-	(C9xC4oD4):5C2	288,364
(C₉×C₄○D₄)⋊₆C₂ = C₉×C₄○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄○D₄	144	2	(C9xC4oD4):6C2	288,185
(C₉×C₄○D₄)⋊₇C₂ = C₉×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄○D₄	72	4	(C9xC4oD4):7C2	288,186
(C₉×C₄○D₄)⋊₈C₂ = C₉×2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄○D₄	72	4	(C9xC4oD4):8C2	288,371
(C₉×C₄○D₄)⋊₉C₂ = C₉×2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄○D₄	144	4	(C9xC4oD4):9C2	288,372

Non-split extensions G=N.Q with N=C₉×C₄○D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₉×C₄○D₄).₁C₂ = Q₈⋊₃Dic₉	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄○D₄	72	4	(C9xC4oD4).1C2	288,44
(C₉×C₄○D₄).₂C₂ = D₄.Dic₉	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄○D₄	144	4	(C9xC4oD4).2C2	288,158
(C₉×C₄○D₄).₃C₂ = D₄.D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄○D₄	144	4-	(C9xC4oD4).3C2	288,159
(C₉×C₄○D₄).₄C₂ = C₉×C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄○D₄	72	2	(C9xC4oD4).4C2	288,54
(C₉×C₄○D₄).₅C₂ = C₉×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄○D₄	144	4	(C9xC4oD4).5C2	288,187
(C₉×C₄○D₄).₆C₂ = C₉×C₈○D₄	φ: trivial image	144	2	(C9xC4oD4).6C2	288,181

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