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

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

		d	ρ	Label	ID
C₂×C₄.Dic₉		144		C2xC4.Dic9	288,131

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.Dic₉⋊₁C₂ = C₄²⋊₄D₉	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₉	72	2	C4.Dic9:1C2	288,12
C₄.Dic₉⋊₂C₂ = C₃₆.₄₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₉	72	4+	C4.Dic9:2C2	288,31
C₄.Dic₉⋊₃C₂ = C₃₆.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₉	72	4	C4.Dic9:3C2	288,39
C₄.Dic₉⋊₄C₂ = Q₈⋊₃Dic₉	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₉	72	4	C4.Dic9:4C2	288,44
C₄.Dic₉⋊₅C₂ = M₄(2)×D₉	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₉	72	4	C4.Dic9:5C2	288,116
C₄.Dic₉⋊₆C₂ = D₃₆⋊₆C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₉	72	4	C4.Dic9:6C2	288,143
C₄.Dic₉⋊₇C₂ = C₃₆.C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₉	144	4	C4.Dic9:7C2	288,153
C₄.Dic₉⋊₈C₂ = D₄.Dic₉	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₉	144	4	C4.Dic9:8C2	288,158
C₄.Dic₉⋊₉C₂ = D₄.D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₉	144	4-	C4.Dic9:9C2	288,159
C₄.Dic₉⋊₁₀C₂ = D₄⋊D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₉	72	4+	C4.Dic9:10C2	288,160
C₄.Dic₉⋊₁₁C₂ = D₃₆.₂C₄	φ: trivial image	144	2	C4.Dic9:11C2	288,112

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.Dic₉.₁C₂ = C₇₂.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₉	144	2	C4.Dic9.1C2	288,20
C₄.Dic₉.₂C₂ = C₃₆.₅₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₉	144	4	C4.Dic9.2C2	288,29
C₄.Dic₉.₃C₂ = C₄.D₃₆	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₉	144	4-	C4.Dic9.3C2	288,30
C₄.Dic₉.₄C₂ = C₃₆.₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₉	144	4	C4.Dic9.4C2	288,42

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