Extensions 1→N→G→Q→1 with N=M₄(2) and Q=C₃×C₆

Direct product G=N×Q with N=M₄(2) and Q=C₃×C₆

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

Semidirect products G=N:Q with N=M₄(2) and Q=C₃×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2)⋊₁(C₃×C₆) = C₃²×C₈⋊C₂²	φ: C₃×C₆/C₃² → C₂ ⊆ Out M₄(2)	72		M4(2):1(C3xC6)	288,833
M₄(2)⋊₂(C₃×C₆) = C₃²×C₈.C₂²	φ: C₃×C₆/C₃² → C₂ ⊆ Out M₄(2)	144		M4(2):2(C3xC6)	288,834
M₄(2)⋊₃(C₃×C₆) = C₃²×C₄.D₄	φ: C₃×C₆/C₃² → C₂ ⊆ Out M₄(2)	72		M4(2):3(C3xC6)	288,318
M₄(2)⋊₄(C₃×C₆) = C₃²×C₄≀C₂	φ: C₃×C₆/C₃² → C₂ ⊆ Out M₄(2)	72		M4(2):4(C3xC6)	288,322
M₄(2)⋊₅(C₃×C₆) = C₃²×C₈○D₄	φ: trivial image	144		M4(2):5(C3xC6)	288,828

Non-split extensions G=N.Q with N=M₄(2) and Q=C₃×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2).₁(C₃×C₆) = C₃²×C₄.₁₀D₄	φ: C₃×C₆/C₃² → C₂ ⊆ Out M₄(2)	144		M4(2).1(C3xC6)	288,319
M₄(2).₂(C₃×C₆) = C₃²×C₈.C₄	φ: C₃×C₆/C₃² → C₂ ⊆ Out M₄(2)	144		M4(2).2(C3xC6)	288,326

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