Extensions 1→N→G→Q→1 with N=C₉ and Q=C₂₄⋊C₂

Direct product G=N×Q with N=C₉ and Q=C₂₄⋊C₂

		d	ρ	Label	ID
C₉×C₂₄⋊C₂		144	2	C9xC24:C2	432,111

Semidirect products G=N:Q with N=C₉ and Q=C₂₄⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊₁(C₂₄⋊C₂) = C₂₄⋊D₉	φ: C₂₄⋊C₂/C₂₄ → C₂ ⊆ Aut C₉	216		C9:1(C24:C2)	432,171
C₉⋊₂(C₂₄⋊C₂) = C₁₈.D₁₂	φ: C₂₄⋊C₂/Dic₆ → C₂ ⊆ Aut C₉	72	4+	C9:2(C24:C2)	432,73
C₉⋊₃(C₂₄⋊C₂) = C₃₆.D₆	φ: C₂₄⋊C₂/D₁₂ → C₂ ⊆ Aut C₉	144	4-	C9:3(C24:C2)	432,71

Non-split extensions G=N.Q with N=C₉ and Q=C₂₄⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(C₂₄⋊C₂) = C₂₁₆⋊C₂	φ: C₂₄⋊C₂/C₂₄ → C₂ ⊆ Aut C₉	216	2	C9.(C24:C2)	432,7

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Extensions 1→N→G→Q→1 with N=C9 and Q=C24⋊C2