Extensions 1→N→G→Q→1 with N=C₉ and Q=C₈⋊C₂²

Direct product G=N×Q with N=C₉ and Q=C₈⋊C₂²

		d	ρ	Label	ID
C₉×C₈⋊C₂²		72	4	C9xC8:C2^2	288,186

Semidirect products G=N:Q with N=C₉ and Q=C₈⋊C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊₁(C₈⋊C₂²) = C₈⋊D₁₈	φ: C₈⋊C₂²/M₄(2) → C₂ ⊆ Aut C₉	72	4+	C9:1(C8:C2^2)	288,118
C₉⋊₂(C₈⋊C₂²) = D₈⋊D₉	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₉	72	4	C9:2(C8:C2^2)	288,121
C₉⋊₃(C₈⋊C₂²) = D₇₂⋊C₂	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₉	72	4+	C9:3(C8:C2^2)	288,124
C₉⋊₄(C₈⋊C₂²) = D₃₆⋊₆C₂²	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₉	72	4	C9:4(C8:C2^2)	288,143
C₉⋊₅(C₈⋊C₂²) = D₄⋊D₁₈	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₉	72	4+	C9:5(C8:C2^2)	288,160

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