Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×Q₈⋊₃S₃

Direct product G=N×Q with N=C₅ and Q=C₂×Q₈⋊₃S₃

		d	ρ	Label	ID
C₁₀×Q₈⋊₃S₃		240		C10xQ8:3S3	480,1158

Semidirect products G=N:Q with N=C₅ and Q=C₂×Q₈⋊₃S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×Q₈⋊₃S₃) = C₂×D₆₀⋊C₂	φ: C₂×Q₈⋊₃S₃/S₃×C₂×C₄ → C₂ ⊆ Aut C₅	240		C5:1(C2xQ8:3S3)	480,1081
C₅⋊₂(C₂×Q₈⋊₃S₃) = C₂×D₁₂⋊D₅	φ: C₂×Q₈⋊₃S₃/C₂×D₁₂ → C₂ ⊆ Aut C₅	240		C5:2(C2xQ8:3S3)	480,1079
C₅⋊₃(C₂×Q₈⋊₃S₃) = D₅×Q₈⋊₃S₃	φ: C₂×Q₈⋊₃S₃/Q₈⋊₃S₃ → C₂ ⊆ Aut C₅	120	8+	C5:3(C2xQ8:3S3)	480,1108
C₅⋊₄(C₂×Q₈⋊₃S₃) = C₂×Q₈⋊₃D₁₅	φ: C₂×Q₈⋊₃S₃/C₆×Q₈ → C₂ ⊆ Aut C₅	240		C5:4(C2xQ8:3S3)	480,1173

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