Extensions 1→N→G→Q→1 with N=M₄(2) and Q=C₅×S₃

Direct product G=N×Q with N=M₄(2) and Q=C₅×S₃

		d	ρ	Label	ID
C₅×S₃×M₄(2)		120	4	C5xS3xM4(2)	480,785

Semidirect products G=N:Q with N=M₄(2) and Q=C₅×S₃

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2)⋊₁(C₅×S₃) = C₅×C₈⋊D₆	φ: C₅×S₃/C₁₅ → C₂ ⊆ Out M₄(2)	120	4	M4(2):1(C5xS3)	480,787
M₄(2)⋊₂(C₅×S₃) = C₅×C₈.D₆	φ: C₅×S₃/C₁₅ → C₂ ⊆ Out M₄(2)	240	4	M4(2):2(C5xS3)	480,788
M₄(2)⋊₃(C₅×S₃) = C₅×C₁₂.₄₆D₄	φ: C₅×S₃/C₁₅ → C₂ ⊆ Out M₄(2)	120	4	M4(2):3(C5xS3)	480,142
M₄(2)⋊₄(C₅×S₃) = C₅×D₁₂⋊C₄	φ: C₅×S₃/C₁₅ → C₂ ⊆ Out M₄(2)	120	4	M4(2):4(C5xS3)	480,144
M₄(2)⋊₅(C₅×S₃) = C₅×D₁₂.C₄	φ: trivial image	240	4	M4(2):5(C5xS3)	480,786

Non-split extensions G=N.Q with N=M₄(2) and Q=C₅×S₃

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2).₁(C₅×S₃) = C₅×C₁₂.₅₃D₄	φ: C₅×S₃/C₁₅ → C₂ ⊆ Out M₄(2)	240	4	M4(2).1(C5xS3)	480,141
M₄(2).₂(C₅×S₃) = C₅×C₁₂.₄₇D₄	φ: C₅×S₃/C₁₅ → C₂ ⊆ Out M₄(2)	240	4	M4(2).2(C5xS3)	480,143

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