Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×D₄.S₃

Direct product G=N×Q with N=C₅ and Q=C₂×D₄.S₃

		d	ρ	Label	ID
C₁₀×D₄.S₃		240		C10xD4.S3	480,812

Semidirect products G=N:Q with N=C₅ and Q=C₂×D₄.S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×D₄.S₃) = C₂×C₆.D₂₀	φ: C₂×D₄.S₃/C₂×C₃⋊C₈ → C₂ ⊆ Aut C₅	240		C5:1(C2xD4.S3)	480,386
C₅⋊₂(C₂×D₄.S₃) = D₅×D₄.S₃	φ: C₂×D₄.S₃/D₄.S₃ → C₂ ⊆ Aut C₅	120	8-	C5:2(C2xD4.S3)	480,559
C₅⋊₃(C₂×D₄.S₃) = C₂×C₃₀.D₄	φ: C₂×D₄.S₃/C₂×Dic₆ → C₂ ⊆ Aut C₅	240		C5:3(C2xD4.S3)	480,382
C₅⋊₄(C₂×D₄.S₃) = C₂×D₄.D₁₅	φ: C₂×D₄.S₃/C₆×D₄ → C₂ ⊆ Aut C₅	240		C5:4(C2xD4.S3)	480,898

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