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
C₃×S₃×M₄(2)		48	4	C3xS3xM4(2)	288,677

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) = C₃×C₈⋊D₆	φ: C₃×S₃/C₃² → C₂ ⊆ Out M₄(2)	48	4	M4(2):1(C3xS3)	288,679
M₄(2)⋊₂(C₃×S₃) = C₃×C₈.D₆	φ: C₃×S₃/C₃² → C₂ ⊆ Out M₄(2)	48	4	M4(2):2(C3xS3)	288,680
M₄(2)⋊₃(C₃×S₃) = C₃×C₁₂.₄₆D₄	φ: C₃×S₃/C₃² → C₂ ⊆ Out M₄(2)	48	4	M4(2):3(C3xS3)	288,257
M₄(2)⋊₄(C₃×S₃) = C₃×D₁₂⋊C₄	φ: C₃×S₃/C₃² → C₂ ⊆ Out M₄(2)	48	4	M4(2):4(C3xS3)	288,259
M₄(2)⋊₅(C₃×S₃) = C₃×D₁₂.C₄	φ: trivial image	48	4	M4(2):5(C3xS3)	288,678

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) = C₃×C₁₂.₅₃D₄	φ: C₃×S₃/C₃² → C₂ ⊆ Out M₄(2)	48	4	M4(2).1(C3xS3)	288,256
M₄(2).₂(C₃×S₃) = C₃×C₁₂.₄₇D₄	φ: C₃×S₃/C₃² → C₂ ⊆ Out M₄(2)	48	4	M4(2).2(C3xS3)	288,258

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