Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×C₃⋊C₈

Direct product G=N×Q with N=C₅ and Q=C₂×C₃⋊C₈

		d	ρ	Label	ID
C₁₀×C₃⋊C₈		240		C10xC3:C8	240,54

Semidirect products G=N:Q with N=C₅ and Q=C₂×C₃⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×C₃⋊C₈) = C₆₀.C₄	φ: C₂×C₃⋊C₈/C₁₂ → C₄ ⊆ Aut C₅	120	4	C5:1(C2xC3:C8)	240,118
C₅⋊₂(C₂×C₃⋊C₈) = C₂×C₁₅⋊C₈	φ: C₂×C₃⋊C₈/C₂×C₆ → C₄ ⊆ Aut C₅	240		C5:2(C2xC3:C8)	240,122
C₅⋊₃(C₂×C₃⋊C₈) = D₅×C₃⋊C₈	φ: C₂×C₃⋊C₈/C₃⋊C₈ → C₂ ⊆ Aut C₅	120	4	C5:3(C2xC3:C8)	240,7
C₅⋊₄(C₂×C₃⋊C₈) = C₂×C₁₅⋊₃C₈	φ: C₂×C₃⋊C₈/C₂×C₁₂ → C₂ ⊆ Aut C₅	240		C5:4(C2xC3:C8)	240,70

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