Extensions 1→N→G→Q→1 with N=C₉ and Q=C₄○D₈

Direct product G=N×Q with N=C₉ and Q=C₄○D₈

		d	ρ	Label	ID
C₉×C₄○D₈		144	2	C9xC4oD8	288,185

Semidirect products G=N:Q with N=C₉ and Q=C₄○D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊₁(C₄○D₈) = D₇₂⋊₇C₂	φ: C₄○D₈/C₂×C₈ → C₂ ⊆ Aut C₉	144	2	C9:1(C4oD8)	288,115
C₉⋊₂(C₄○D₈) = D₈⋊₃D₉	φ: C₄○D₈/D₈ → C₂ ⊆ Aut C₉	144	4-	C9:2(C4oD8)	288,122
C₉⋊₃(C₄○D₈) = SD₁₆⋊₃D₉	φ: C₄○D₈/SD₁₆ → C₂ ⊆ Aut C₉	144	4	C9:3(C4oD8)	288,126
C₉⋊₄(C₄○D₈) = D₇₂⋊₅C₂	φ: C₄○D₈/Q₁₆ → C₂ ⊆ Aut C₉	144	4+	C9:4(C4oD8)	288,129
C₉⋊₅(C₄○D₈) = D₄.₉D₁₈	φ: C₄○D₈/C₄○D₄ → C₂ ⊆ Aut C₉	144	4	C9:5(C4oD8)	288,161

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