Extensions 1→N→G→Q→1 with N=C₅ and Q=C₈⋊S₃

Direct product G=N×Q with N=C₅ and Q=C₈⋊S₃

		d	ρ	Label	ID
C₅×C₈⋊S₃		120	2	C5xC8:S3	240,50

Semidirect products G=N:Q with N=C₅ and Q=C₈⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₈⋊S₃) = Dic₃.F₅	φ: C₈⋊S₃/Dic₃ → C₄ ⊆ Aut C₅	120	8+	C5:1(C8:S3)	240,101
C₅⋊₂(C₈⋊S₃) = D₆.F₅	φ: C₈⋊S₃/D₆ → C₄ ⊆ Aut C₅	120	8-	C5:2(C8:S3)	240,100
C₅⋊₃(C₈⋊S₃) = D₃₀.₅C₄	φ: C₈⋊S₃/C₃⋊C₈ → C₂ ⊆ Aut C₅	120	4	C5:3(C8:S3)	240,12
C₅⋊₄(C₈⋊S₃) = C₄₀⋊S₃	φ: C₈⋊S₃/C₂₄ → C₂ ⊆ Aut C₅	120	2	C5:4(C8:S3)	240,66
C₅⋊₅(C₈⋊S₃) = D₆.Dic₅	φ: C₈⋊S₃/C₄×S₃ → C₂ ⊆ Aut C₅	120	4	C5:5(C8:S3)	240,11

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