Extensions 1→N→G→Q→1 with N=C₃²×M₄(2) and Q=C₃

Direct product G=N×Q with N=C₃²×M₄(2) and Q=C₃

		d	ρ	Label	ID
M₄(2)×C₃³		216		M4(2)xC3^3	432,516

Semidirect products G=N:Q with N=C₃²×M₄(2) and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×M₄(2))⋊C₃ = M₄(2)×He₃	φ: C₃/C₁ → C₃ ⊆ Out C₃²×M₄(2)	72	6	(C3^2xM4(2)):C3	432,213

Non-split extensions G=N.Q with N=C₃²×M₄(2) and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×M₄(2)).C₃ = M₄(2)×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out C₃²×M₄(2)	72	6	(C3^2xM4(2)).C3	432,214
(C₃²×M₄(2)).₂C₃ = M₄(2)×C₃×C₉	φ: trivial image	216		(C3^2xM4(2)).2C3	432,212

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Extensions 1→N→G→Q→1 with N=C32×M4(2) and Q=C3