Extensions 1→N→G→Q→1 with N=C₂ and Q=C₃²×M₄(2)

Direct product G=N×Q with N=C₂ and Q=C₃²×M₄(2)

		d	ρ	Label	ID
M₄(2)×C₃×C₆		144		M4(2)xC3xC6	288,827

Non-split extensions G=N.Q with N=C₂ and Q=C₃²×M₄(2)

extension	φ:Q→Aut N	d	Label	ID
C₂.₁(C₃²×M₄(2)) = C₃²×C₈⋊C₄	central extension (φ=1)	288	C2.1(C3^2xM4(2))	288,315
C₂.₂(C₃²×M₄(2)) = C₃²×C₂²⋊C₈	central extension (φ=1)	144	C2.2(C3^2xM4(2))	288,316
C₂.₃(C₃²×M₄(2)) = C₃²×C₄⋊C₈	central extension (φ=1)	288	C2.3(C3^2xM4(2))	288,323

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Extensions 1→N→G→Q→1 with N=C2 and Q=C32×M4(2)