Extensions 1→N→G→Q→1 with N=C₉ and Q=C₂×C₂²⋊C₄

Direct product G=N×Q with N=C₉ and Q=C₂×C₂²⋊C₄

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

Semidirect products G=N:Q with N=C₉ and Q=C₂×C₂²⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊₁(C₂×C₂²⋊C₄) = C₂²⋊C₄×D₉	φ: C₂×C₂²⋊C₄/C₂²⋊C₄ → C₂ ⊆ Aut C₉	72		C9:1(C2xC2^2:C4)	288,90
C₉⋊₂(C₂×C₂²⋊C₄) = C₂×D₁₈⋊C₄	φ: C₂×C₂²⋊C₄/C₂²×C₄ → C₂ ⊆ Aut C₉	144		C9:2(C2xC2^2:C4)	288,137
C₉⋊₃(C₂×C₂²⋊C₄) = C₂×C₁₈.D₄	φ: C₂×C₂²⋊C₄/C₂⁴ → C₂ ⊆ Aut C₉	144		C9:3(C2xC2^2:C4)	288,162

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