Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²xM₄(2)

Direct product G=NxQ with N=C₃ and Q=C₃²xM₄(2)

		d	ρ	Label	ID
M₄(2)xC₃³		216		M4(2)xC3^3	432,516

Semidirect products G=N:Q with N=C₃ and Q=C₃²xM₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₃²xM₄(2)) = C₃²xC₈:S₃	φ: C₃²xM₄(2)/C₃xC₂₄ → C₂ ⊆ Aut C₃	144		C3:1(C3^2xM4(2))	432,465
C₃:₂(C₃²xM₄(2)) = C₃²xC₄.Dic₃	φ: C₃²xM₄(2)/C₆xC₁₂ → C₂ ⊆ Aut C₃	72		C3:2(C3^2xM4(2))	432,470

Non-split extensions G=N.Q with N=C₃ and Q=C₃²xM₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃²xM₄(2)) = M₄(2)xC₃xC₉	central extension (φ=1)	216		C3.1(C3^2xM4(2))	432,212
C₃.₂(C₃²xM₄(2)) = M₄(2)xHe₃	central stem extension (φ=1)	72	6	C3.2(C3^2xM4(2))	432,213
C₃.₃(C₃²xM₄(2)) = M₄(2)x3_-¹⁺²	central stem extension (φ=1)	72	6	C3.3(C3^2xM4(2))	432,214

Extensions 1→N→G→Q→1 with N=C3 and Q=C32xM4(2)