Extensions 1→N→G→Q→1 with N=C₉ and Q=C₂xA₄

Direct product G=NxQ with N=C₉ and Q=C₂xA₄

		d	ρ	Label	ID
A₄xC₁₈		54	3	A4xC18	216,103

Semidirect products G=N:Q with N=C₉ and Q=C₂xA₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉:(C₂xA₄) = D₉:A₄	φ: C₂xA₄/C₂² → C₆ ⊆ Aut C₉	36	6+	C9:(C2xA4)	216,96
C₉:₂(C₂xA₄) = C₂xC₉:A₄	φ: C₂xA₄/C₂³ → C₃ ⊆ Aut C₉	54	3	C9:2(C2xA4)	216,104
C₉:₃(C₂xA₄) = A₄xD₉	φ: C₂xA₄/A₄ → C₂ ⊆ Aut C₉	36	6+	C9:3(C2xA4)	216,97

Non-split extensions G=N.Q with N=C₉ and Q=C₂xA₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(C₂xA₄) = C₂xC₉.A₄	central extension (φ=1)	54	3	C9.(C2xA4)	216,22

Extensions 1→N→G→Q→1 with N=C9 and Q=C2xA4