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
A₄×C₃₆		108	3	A4xC36	432,325

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/C₂³ → C₆ ⊆ Aut C₉	108	6-	C9:(C4xA4)	432,265
C₉⋊₂(C₄×A₄) = C₄×C₉⋊A₄	φ: C₄×A₄/C₂²×C₄ → C₃ ⊆ Aut C₉	108	3	C9:2(C4xA4)	432,326
C₉⋊₃(C₄×A₄) = A₄×Dic₉	φ: C₄×A₄/C₂×A₄ → C₂ ⊆ Aut C₉	108	6-	C9:3(C4xA4)	432,266

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) = C₄×C₉.A₄	central extension (φ=1)	108	3	C9.(C4xA4)	432,40

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