Extensions 1→N→G→Q→1 with N=C₅ and Q=D₈⋊S₃

Direct product G=N×Q with N=C₅ and Q=D₈⋊S₃

		d	ρ	Label	ID
C₅×D₈⋊S₃		120	4	C5xD8:S3	480,790

Semidirect products G=N:Q with N=C₅ and Q=D₈⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₈⋊S₃) = D₄₀⋊S₃	φ: D₈⋊S₃/C₈⋊S₃ → C₂ ⊆ Aut C₅	120	4	C5:1(D8:S3)	480,330
C₅⋊₂(D₈⋊S₃) = C₄₀⋊₈D₆	φ: D₈⋊S₃/C₂₄⋊C₂ → C₂ ⊆ Aut C₅	120	4	C5:2(D8:S3)	480,334
C₅⋊₃(D₈⋊S₃) = D₃₀.₈D₄	φ: D₈⋊S₃/D₄⋊S₃ → C₂ ⊆ Aut C₅	120	8-	C5:3(D8:S3)	480,558
C₅⋊₄(D₈⋊S₃) = Dic₆⋊D₁₀	φ: D₈⋊S₃/D₄.S₃ → C₂ ⊆ Aut C₅	120	8+	C5:4(D8:S3)	480,574
C₅⋊₅(D₈⋊S₃) = D₈⋊D₁₅	φ: D₈⋊S₃/C₃×D₈ → C₂ ⊆ Aut C₅	120	4	C5:5(D8:S3)	480,876
C₅⋊₆(D₈⋊S₃) = D₂₀⋊₁₀D₆	φ: D₈⋊S₃/S₃×D₄ → C₂ ⊆ Aut C₅	120	8-	C5:6(D8:S3)	480,570
C₅⋊₇(D₈⋊S₃) = D₆₀.C₂²	φ: D₈⋊S₃/D₄⋊₂S₃ → C₂ ⊆ Aut C₅	120	8+	C5:7(D8:S3)	480,556

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