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

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

		d	ρ	Label	ID
C₂×Dic₉⋊C₄		288		C2xDic9:C4	288,133

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₉⋊C₄⋊₁C₂ = C₄²⋊₃D₉	φ: C₂/C₁ → C₂ ⊆ Out Dic₉⋊C₄	144		Dic9:C4:1C2	288,86
Dic₉⋊C₄⋊₂C₂ = C₃₆.₄₉D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₉⋊C₄	144		Dic9:C4:2C2	288,134
Dic₉⋊C₄⋊₃C₂ = C₂³.₂₈D₁₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₉⋊C₄	144		Dic9:C4:3C2	288,139
Dic₉⋊C₄⋊₄C₂ = C₂²⋊₂Dic₁₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₉⋊C₄	144		Dic9:C4:4C2	288,88
Dic₉⋊C₄⋊₅C₂ = D₁₈⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₉⋊C₄	144		Dic9:C4:5C2	288,94
Dic₉⋊C₄⋊₆C₂ = D₁₈.D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₉⋊C₄	144		Dic9:C4:6C2	288,104
Dic₉⋊C₄⋊₇C₂ = C₂³.₁₆D₁₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₉⋊C₄	144		Dic9:C4:7C2	288,87
Dic₉⋊C₄⋊₈C₂ = C₂³.₈D₁₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₉⋊C₄	144		Dic9:C4:8C2	288,89
Dic₉⋊C₄⋊₉C₂ = Dic₉⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₉⋊C₄	144		Dic9:C4:9C2	288,91
Dic₉⋊C₄⋊₁₀C₂ = C₂³.₉D₁₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₉⋊C₄	144		Dic9:C4:10C2	288,93
Dic₉⋊C₄⋊₁₁C₂ = C₄⋊C₄×D₉	φ: C₂/C₁ → C₂ ⊆ Out Dic₉⋊C₄	144		Dic9:C4:11C2	288,101
Dic₉⋊C₄⋊₁₂C₂ = D₁₈⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₉⋊C₄	144		Dic9:C4:12C2	288,106
Dic₉⋊C₄⋊₁₃C₂ = C₄⋊C₄⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out Dic₉⋊C₄	144		Dic9:C4:13C2	288,108
Dic₉⋊C₄⋊₁₄C₂ = C₂³.₂₃D₁₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₉⋊C₄	144		Dic9:C4:14C2	288,145
Dic₉⋊C₄⋊₁₅C₂ = Dic₉⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₉⋊C₄	144		Dic9:C4:15C2	288,149
Dic₉⋊C₄⋊₁₆C₂ = D₁₈⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₉⋊C₄	144		Dic9:C4:16C2	288,156
Dic₉⋊C₄⋊₁₇C₂ = C₄²⋊₂D₉	φ: trivial image	144		Dic9:C4:17C2	288,82
Dic₉⋊C₄⋊₁₈C₂ = C₄×C₉⋊D₄	φ: trivial image	144		Dic9:C4:18C2	288,138

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₉⋊C₄.₁C₂ = C₃₆.₆Q₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₉⋊C₄	288		Dic9:C4.1C2	288,80
Dic₉⋊C₄.₂C₂ = C₃₆⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₉⋊C₄	288		Dic9:C4.2C2	288,98
Dic₉⋊C₄.₃C₂ = Dic₉.Q₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₉⋊C₄	288		Dic9:C4.3C2	288,99
Dic₉⋊C₄.₄C₂ = C₃₆.₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₉⋊C₄	288		Dic9:C4.4C2	288,100
Dic₉⋊C₄.₅C₂ = Dic₉⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₉⋊C₄	288		Dic9:C4.5C2	288,97
Dic₉⋊C₄.₆C₂ = Dic₉⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₉⋊C₄	288		Dic9:C4.6C2	288,154
Dic₉⋊C₄.₇C₂ = C₄×Dic₁₈	φ: trivial image	288		Dic9:C4.7C2	288,78

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