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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃²×M₄(2)) = C₃²×C₈⋊S₃	φ: C₃²×M₄(2)/C₃×C₂₄ → C₂ ⊆ Aut C₃	144		C3:1(C3^2xM4(2))	432,465
C₃⋊₂(C₃²×M₄(2)) = C₃²×C₄.Dic₃	φ: C₃²×M₄(2)/C₆×C₁₂ → C₂ ⊆ Aut C₃	72		C3:2(C3^2xM4(2))	432,470

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃²×M₄(2)) = M₄(2)×C₃×C₉	central extension (φ=1)	216		C3.1(C3^2xM4(2))	432,212
C₃.₂(C₃²×M₄(2)) = M₄(2)×He₃	central stem extension (φ=1)	72	6	C3.2(C3^2xM4(2))	432,213
C₃.₃(C₃²×M₄(2)) = M₄(2)×3_-¹⁺²	central stem extension (φ=1)	72	6	C3.3(C3^2xM4(2))	432,214

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