Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×Q₈⋊₂S₃

Direct product G=N×Q with N=C₅ and Q=C₂×Q₈⋊₂S₃

		d	ρ	Label	ID
C₁₀×Q₈⋊₂S₃		240		C10xQ8:2S3	480,820

Semidirect products G=N:Q with N=C₅ and Q=C₂×Q₈⋊₂S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×Q₈⋊₂S₃) = C₂×C₁₅⋊SD₁₆	φ: C₂×Q₈⋊₂S₃/C₂×C₃⋊C₈ → C₂ ⊆ Aut C₅	240		C5:1(C2xQ8:2S3)	480,390
C₅⋊₂(C₂×Q₈⋊₂S₃) = D₅×Q₈⋊₂S₃	φ: C₂×Q₈⋊₂S₃/Q₈⋊₂S₃ → C₂ ⊆ Aut C₅	120	8+	C5:2(C2xQ8:2S3)	480,577
C₅⋊₃(C₂×Q₈⋊₂S₃) = C₂×C₂₀.D₆	φ: C₂×Q₈⋊₂S₃/C₂×D₁₂ → C₂ ⊆ Aut C₅	240		C5:3(C2xQ8:2S3)	480,384
C₅⋊₄(C₂×Q₈⋊₂S₃) = C₂×Q₈⋊₂D₁₅	φ: C₂×Q₈⋊₂S₃/C₆×Q₈ → C₂ ⊆ Aut C₅	240		C5:4(C2xQ8:2S3)	480,906

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