Extensions 1→N→G→Q→1 with N=C₂²⋊C₄ and Q=C₁₈

Direct product G=N×Q with N=C₂²⋊C₄ and Q=C₁₈

		d	ρ	Label	ID
C₂²⋊C₄×C₁₈		144		C2^2:C4xC18	288,165

Semidirect products G=N:Q with N=C₂²⋊C₄ and Q=C₁₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄⋊₁C₁₈ = C₉×C₂³⋊C₄	φ: C₁₈/C₉ → C₂ ⊆ Out C₂²⋊C₄	72	4	C2^2:C4:1C18	288,49
C₂²⋊C₄⋊₂C₁₈ = C₉×C₂²≀C₂	φ: C₁₈/C₉ → C₂ ⊆ Out C₂²⋊C₄	72		C2^2:C4:2C18	288,170
C₂²⋊C₄⋊₃C₁₈ = C₉×C₄⋊D₄	φ: C₁₈/C₉ → C₂ ⊆ Out C₂²⋊C₄	144		C2^2:C4:3C18	288,171
C₂²⋊C₄⋊₄C₁₈ = C₉×C₂².D₄	φ: C₁₈/C₉ → C₂ ⊆ Out C₂²⋊C₄	144		C2^2:C4:4C18	288,173
C₂²⋊C₄⋊₅C₁₈ = C₉×C₄.₄D₄	φ: C₁₈/C₉ → C₂ ⊆ Out C₂²⋊C₄	144		C2^2:C4:5C18	288,174
C₂²⋊C₄⋊₆C₁₈ = D₄×C₃₆	φ: trivial image	144		C2^2:C4:6C18	288,168

Non-split extensions G=N.Q with N=C₂²⋊C₄ and Q=C₁₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄.₁C₁₈ = C₉×C₂²⋊Q₈	φ: C₁₈/C₉ → C₂ ⊆ Out C₂²⋊C₄	144		C2^2:C4.1C18	288,172
C₂²⋊C₄.₂C₁₈ = C₉×C₄²⋊₂C₂	φ: C₁₈/C₉ → C₂ ⊆ Out C₂²⋊C₄	144		C2^2:C4.2C18	288,176
C₂²⋊C₄.₃C₁₈ = C₉×C₄²⋊C₂	φ: trivial image	144		C2^2:C4.3C18	288,167

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