Extensions 1→N→G→Q→1 with N=M₄(2) and Q=C₃⋊S₃

Direct product G=N×Q with N=M₄(2) and Q=C₃⋊S₃

		d	ρ	Label	ID
M₄(2)×C₃⋊S₃		72		M4(2)xC3:S3	288,763

Semidirect products G=N:Q with N=M₄(2) and Q=C₃⋊S₃

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2)⋊₁(C₃⋊S₃) = C₂₄⋊₃D₆	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out M₄(2)	72		M4(2):1(C3:S3)	288,765
M₄(2)⋊₂(C₃⋊S₃) = C₂₄.₅D₆	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out M₄(2)	144		M4(2):2(C3:S3)	288,766
M₄(2)⋊₃(C₃⋊S₃) = C₁₂.₁₉D₁₂	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out M₄(2)	72		M4(2):3(C3:S3)	288,298
M₄(2)⋊₄(C₃⋊S₃) = C₆².₃₇D₄	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out M₄(2)	72		M4(2):4(C3:S3)	288,300
M₄(2)⋊₅(C₃⋊S₃) = C₂₄.₄₇D₆	φ: trivial image	144		M4(2):5(C3:S3)	288,764

Non-split extensions G=N.Q with N=M₄(2) and Q=C₃⋊S₃

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2).₁(C₃⋊S₃) = C₆².₈Q₈	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out M₄(2)	144		M4(2).1(C3:S3)	288,297
M₄(2).₂(C₃⋊S₃) = C₁₂.₂₀D₁₂	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out M₄(2)	144		M4(2).2(C3:S3)	288,299

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