Extensions 1→N→G→Q→1 with N=C₉ and Q=C₂×A₄

Direct product G=N×Q with N=C₉ and Q=C₂×A₄

		d	ρ	Label	ID
A₄×C₁₈		54	3	A4xC18	216,103

Semidirect products G=N:Q with N=C₉ and Q=C₂×A₄

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

Non-split extensions G=N.Q with N=C₉ and Q=C₂×A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(C₂×A₄) = C₂×C₉.A₄	central extension (φ=1)	54	3	C9.(C2xA4)	216,22

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Extensions 1→N→G→Q→1 with N=C9 and Q=C2×A4