Extensions 1→N→G→Q→1 with N=C₅ and Q=C₃×M₄(2)

Direct product G=N×Q with N=C₅ and Q=C₃×M₄(2)

		d	ρ	Label	ID
C₁₅×M₄(2)		120	2	C15xM4(2)	240,85

Semidirect products G=N:Q with N=C₅ and Q=C₃×M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₃×M₄(2)) = C₃×C₄.F₅	φ: C₃×M₄(2)/C₁₂ → C₄ ⊆ Aut C₅	120	4	C5:1(C3xM4(2))	240,112
C₅⋊₂(C₃×M₄(2)) = C₃×C₂².F₅	φ: C₃×M₄(2)/C₂×C₆ → C₄ ⊆ Aut C₅	120	4	C5:2(C3xM4(2))	240,116
C₅⋊₃(C₃×M₄(2)) = C₃×C₈⋊D₅	φ: C₃×M₄(2)/C₂₄ → C₂ ⊆ Aut C₅	120	2	C5:3(C3xM4(2))	240,34
C₅⋊₄(C₃×M₄(2)) = C₃×C₄.Dic₅	φ: C₃×M₄(2)/C₂×C₁₂ → C₂ ⊆ Aut C₅	120	2	C5:4(C3xM4(2))	240,39

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