Extensions 1→N→G→Q→1 with N=C₃₆ and Q=A₄

Direct product G=N×Q with N=C₃₆ and Q=A₄

		d	ρ	Label	ID
A₄×C₃₆		108	3	A4xC36	432,325

Semidirect products G=N:Q with N=C₃₆ and Q=A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₆⋊A₄ = C₄×C₉⋊A₄	φ: A₄/C₂² → C₃ ⊆ Aut C₃₆	108	3	C36:A4	432,326

Non-split extensions G=N.Q with N=C₃₆ and Q=A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₆.A₄ = C₃₆.A₄	φ: A₄/C₂² → C₃ ⊆ Aut C₃₆	144	6	C36.A4	432,330
C₃₆.₂A₄ = C₄×C₉.A₄	central extension (φ=1)	108	3	C36.2A4	432,40
C₃₆.₃A₄ = Q₈.C₅₄	central extension (φ=1)	216	2	C36.3A4	432,42
C₃₆.₄A₄ = C₉×C₄.A₄	central extension (φ=1)	144	2	C36.4A4	432,329

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Extensions 1→N→G→Q→1 with N=C36 and Q=A4