Extensions 1→N→G→Q→1 with N=C₅ and Q=C₃×M₅(2)

Direct product G=N×Q with N=C₅ and Q=C₃×M₅(2)

		d	ρ	Label	ID
C₁₅×M₅(2)		240	2	C15xM5(2)	480,213

Semidirect products G=N:Q with N=C₅ and Q=C₃×M₅(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₃×M₅(2)) = C₃×C₈.F₅	φ: C₃×M₅(2)/C₂₄ → C₄ ⊆ Aut C₅	240	4	C5:1(C3xM5(2))	480,270
C₅⋊₂(C₃×M₅(2)) = C₃×C₂₀.C₈	φ: C₃×M₅(2)/C₂×C₁₂ → C₄ ⊆ Aut C₅	240	4	C5:2(C3xM5(2))	480,278
C₅⋊₃(C₃×M₅(2)) = C₃×C₈₀⋊C₂	φ: C₃×M₅(2)/C₄₈ → C₂ ⊆ Aut C₅	240	2	C5:3(C3xM5(2))	480,76
C₅⋊₄(C₃×M₅(2)) = C₃×C₂₀.₄C₈	φ: C₃×M₅(2)/C₂×C₂₄ → C₂ ⊆ Aut C₅	240	2	C5:4(C3xM5(2))	480,90

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