Extensions 1→N→G→Q→1 with N=C₉ and Q=C₄²⋊C₂

Direct product G=N×Q with N=C₉ and Q=C₄²⋊C₂

		d	ρ	Label	ID
C₉×C₄²⋊C₂		144		C9xC4^2:C2	288,167

Semidirect products G=N:Q with N=C₉ and Q=C₄²⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊₁(C₄²⋊C₂) = C₄²⋊₂D₉	φ: C₄²⋊C₂/C₄² → C₂ ⊆ Aut C₉	144		C9:1(C4^2:C2)	288,82
C₉⋊₂(C₄²⋊C₂) = C₂³.₁₆D₁₈	φ: C₄²⋊C₂/C₂²⋊C₄ → C₂ ⊆ Aut C₉	144		C9:2(C4^2:C2)	288,87
C₉⋊₃(C₄²⋊C₂) = C₄⋊C₄⋊₇D₉	φ: C₄²⋊C₂/C₄⋊C₄ → C₂ ⊆ Aut C₉	144		C9:3(C4^2:C2)	288,102
C₉⋊₄(C₄²⋊C₂) = C₂³.₂₆D₁₈	φ: C₄²⋊C₂/C₂²×C₄ → C₂ ⊆ Aut C₉	144		C9:4(C4^2:C2)	288,136

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