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		288		C2xC4:Dic9	288,135

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊Dic₉⋊₁C₂ = C₂.D₇₂	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₉	144		C4:Dic9:1C2	288,28
C₄⋊Dic₉⋊₂C₂ = C₂²⋊₂Dic₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₉	144		C4:Dic9:2C2	288,88
C₄⋊Dic₉⋊₃C₂ = C₂³.₈D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₉	144		C4:Dic9:3C2	288,89
C₄⋊Dic₉⋊₄C₂ = C₂³.₉D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₉	144		C4:Dic9:4C2	288,93
C₄⋊Dic₉⋊₅C₂ = C₂².₄D₃₆	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₉	144		C4:Dic9:5C2	288,96
C₄⋊Dic₉⋊₆C₂ = D₁₈⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₉	144		C4:Dic9:6C2	288,107
C₄⋊Dic₉⋊₇C₂ = C₄⋊C₄⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₉	144		C4:Dic9:7C2	288,108
C₄⋊Dic₉⋊₈C₂ = C₃₆.₄₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₉	144		C4:Dic9:8C2	288,134
C₄⋊Dic₉⋊₉C₂ = C₃₆⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₉	144		C4:Dic9:9C2	288,140
C₄⋊Dic₉⋊₁₀C₂ = D₄⋊Dic₉	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₉	144		C4:Dic9:10C2	288,40
C₄⋊Dic₉⋊₁₁C₂ = C₄⋊C₄×D₉	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₉	144		C4:Dic9:11C2	288,101
C₄⋊Dic₉⋊₁₂C₂ = C₄⋊C₄⋊₇D₉	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₉	144		C4:Dic9:12C2	288,102
C₄⋊Dic₉⋊₁₃C₂ = D₄×Dic₉	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₉	144		C4:Dic9:13C2	288,144
C₄⋊Dic₉⋊₁₄C₂ = C₃₆⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₉	144		C4:Dic9:14C2	288,148
C₄⋊Dic₉⋊₁₅C₂ = D₁₈⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₉	144		C4:Dic9:15C2	288,156
C₄⋊Dic₉⋊₁₆C₂ = C₄×D₃₆	φ: trivial image	144		C4:Dic9:16C2	288,83
C₄⋊Dic₉⋊₁₇C₂ = C₂³.₂₆D₁₈	φ: trivial image	144		C4:Dic9:17C2	288,136

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 = C₃₆.₄₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₉	288		C4:Dic9.1C2	288,24
C₄⋊Dic₉.₂C₂ = C₈⋊Dic₉	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₉	288		C4:Dic9.2C2	288,25
C₄⋊Dic₉.₃C₂ = C₇₂⋊₁C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₉	288		C4:Dic9.3C2	288,26
C₄⋊Dic₉.₄C₂ = C₃₆⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₉	288		C4:Dic9.4C2	288,79
C₄⋊Dic₉.₅C₂ = C₃₆.₆Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₉	288		C4:Dic9.5C2	288,80
C₄⋊Dic₉.₆C₂ = Dic₉.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₉	288		C4:Dic9.6C2	288,99
C₄⋊Dic₉.₇C₂ = C₃₆.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₉	288		C4:Dic9.7C2	288,14
C₄⋊Dic₉.₈C₂ = C₄.Dic₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₉	288		C4:Dic9.8C2	288,15
C₄⋊Dic₉.₉C₂ = Q₈⋊₂Dic₉	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₉	288		C4:Dic9.9C2	288,43
C₄⋊Dic₉.₁₀C₂ = C₃₆⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₉	288		C4:Dic9.10C2	288,98
C₄⋊Dic₉.₁₁C₂ = C₃₆.₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₉	288		C4:Dic9.11C2	288,100
C₄⋊Dic₉.₁₂C₂ = Q₈×Dic₉	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₉	288		C4:Dic9.12C2	288,155
C₄⋊Dic₉.₁₃C₂ = C₄×Dic₁₈	φ: trivial image	288		C4:Dic9.13C2	288,78

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