Extensions 1→N→G→Q→1 with N=C₉ and Q=C₄○D₁₂

Direct product G=N×Q with N=C₉ and Q=C₄○D₁₂

		d	ρ	Label	ID
C₉×C₄○D₁₂		72	2	C9xC4oD12	432,347

Semidirect products G=N:Q with N=C₉ and Q=C₄○D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊₁(C₄○D₁₂) = Dic₆⋊₅D₉	φ: C₄○D₁₂/Dic₆ → C₂ ⊆ Aut C₉	72	4+	C9:1(C4oD12)	432,282
C₉⋊₂(C₄○D₁₂) = D₆.D₁₈	φ: C₄○D₁₂/C₄×S₃ → C₂ ⊆ Aut C₉	72	4	C9:2(C4oD12)	432,287
C₉⋊₃(C₄○D₁₂) = D₁₂⋊₅D₉	φ: C₄○D₁₂/D₁₂ → C₂ ⊆ Aut C₉	144	4-	C9:3(C4oD12)	432,285
C₉⋊₄(C₄○D₁₂) = Dic₃.D₁₈	φ: C₄○D₁₂/C₃⋊D₄ → C₂ ⊆ Aut C₉	72	4	C9:4(C4oD12)	432,309
C₉⋊₅(C₄○D₁₂) = C₃₆.₇₀D₆	φ: C₄○D₁₂/C₂×C₁₂ → C₂ ⊆ Aut C₉	216		C9:5(C4oD12)	432,383

Non-split extensions G=N.Q with N=C₉ and Q=C₄○D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(C₄○D₁₂) = D₁₀₈⋊₅C₂	φ: C₄○D₁₂/C₂×C₁₂ → C₂ ⊆ Aut C₉	216	2	C9.(C4oD12)	432,46

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