Extensions 1→N→G→Q→1 with N=C₁₈.D₄ and Q=C₂

Direct product G=N×Q with N=C₁₈.D₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₁₈.D₄		144		C2xC18.D4	288,162

Semidirect products G=N:Q with N=C₁₈.D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₈.D₄⋊₁C₂ = C₂².D₃₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₈.D₄	72	4	C18.D4:1C2	288,13
C₁₈.D₄⋊₂C₂ = C₂³⋊₂Dic₉	φ: C₂/C₁ → C₂ ⊆ Out C₁₈.D₄	72	4	C18.D4:2C2	288,41
C₁₈.D₄⋊₃C₂ = C₂²⋊C₄×D₉	φ: C₂/C₁ → C₂ ⊆ Out C₁₈.D₄	72		C18.D4:3C2	288,90
C₁₈.D₄⋊₄C₂ = C₂³.₉D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₈.D₄	144		C18.D4:4C2	288,93
C₁₈.D₄⋊₅C₂ = Dic₉.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₈.D₄	144		C18.D4:5C2	288,95
C₁₈.D₄⋊₆C₂ = C₂³.₂₈D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₈.D₄	144		C18.D4:6C2	288,139
C₁₈.D₄⋊₇C₂ = D₄×Dic₉	φ: C₂/C₁ → C₂ ⊆ Out C₁₈.D₄	144		C18.D4:7C2	288,144
C₁₈.D₄⋊₈C₂ = C₂³.₂₃D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₈.D₄	144		C18.D4:8C2	288,145
C₁₈.D₄⋊₉C₂ = C₃₆.₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₈.D₄	144		C18.D4:9C2	288,146
C₁₈.D₄⋊₁₀C₂ = C₂³⋊₂D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₈.D₄	72		C18.D4:10C2	288,147
C₁₈.D₄⋊₁₁C₂ = C₃₆⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₈.D₄	144		C18.D4:11C2	288,148
C₁₈.D₄⋊₁₂C₂ = Dic₉⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₈.D₄	144		C18.D4:12C2	288,149
C₁₈.D₄⋊₁₃C₂ = C₂⁴⋊₄D₉	φ: C₂/C₁ → C₂ ⊆ Out C₁₈.D₄	72		C18.D4:13C2	288,163
C₁₈.D₄⋊₁₄C₂ = C₄×C₉⋊D₄	φ: trivial image	144		C18.D4:14C2	288,138

Non-split extensions G=N.Q with N=C₁₈.D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₈.D₄.₁C₂ = C₂³.₁₆D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₈.D₄	144		C18.D4.1C2	288,87
C₁₈.D₄.₂C₂ = C₂²⋊₂Dic₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₈.D₄	144		C18.D4.2C2	288,88
C₁₈.D₄.₃C₂ = C₂³.₈D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₈.D₄	144		C18.D4.3C2	288,89
C₁₈.D₄.₄C₂ = C₃₆.₄₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₈.D₄	144		C18.D4.4C2	288,134
C₁₈.D₄.₅C₂ = C₂³.₂₆D₁₈	φ: trivial image	144		C18.D4.5C2	288,136

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