Extensions 1→N→G→Q→1 with N=C₉ and Q=C₄.A₄

Direct product G=N×Q with N=C₉ and Q=C₄.A₄

		d	ρ	Label	ID
C₉×C₄.A₄		144	2	C9xC4.A4	432,329

Semidirect products G=N:Q with N=C₉ and Q=C₄.A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊(C₄.A₄) = Dic₉.A₄	φ: C₄.A₄/Q₈ → C₆ ⊆ Aut C₉	144	12+	C9:(C4.A4)	432,261
C₉⋊₂(C₄.A₄) = C₃₆.A₄	φ: C₄.A₄/C₄○D₄ → C₃ ⊆ Aut C₉	144	6	C9:2(C4.A4)	432,330
C₉⋊₃(C₄.A₄) = Dic₉.₂A₄	φ: C₄.A₄/SL₂(𝔽₃) → C₂ ⊆ Aut C₉	144	4+	C9:3(C4.A4)	432,262

Non-split extensions G=N.Q with N=C₉ and Q=C₄.A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(C₄.A₄) = Q₈.C₅₄	central extension (φ=1)	216	2	C9.(C4.A4)	432,42

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Extensions 1→N→G→Q→1 with N=C9 and Q=C4.A4