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

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

		d	ρ	Label	ID
C₅×M₄(2)⋊S₃		120	4	C5xM4(2):S3	480,142

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(M₄(2)⋊S₃) = Dic₅.D₁₂	φ: M₄(2)⋊S₃/C₂²×S₃ → C₄ ⊆ Aut C₅	120	8+	C5:(M4(2):S3)	480,250
C₅⋊₂(M₄(2)⋊S₃) = C₆₀.₂₉D₄	φ: M₄(2)⋊S₃/C₄.Dic₃ → C₂ ⊆ Aut C₅	120	4+	C5:2(M4(2):S3)	480,36
C₅⋊₃(M₄(2)⋊S₃) = M₄(2)⋊D₁₅	φ: M₄(2)⋊S₃/C₃×M₄(2) → C₂ ⊆ Aut C₅	120	4+	C5:3(M4(2):S3)	480,183
C₅⋊₄(M₄(2)⋊S₃) = C₆₀.₅₃D₄	φ: M₄(2)⋊S₃/C₂×D₁₂ → C₂ ⊆ Aut C₅	120	4	C5:4(M4(2):S3)	480,35

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