Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×D₄⋊₂S₃

Direct product G=N×Q with N=C₅ and Q=C₂×D₄⋊₂S₃

		d	ρ	Label	ID
C₁₀×D₄⋊₂S₃		240		C10xD4:2S3	480,1155

Semidirect products G=N:Q with N=C₅ and Q=C₂×D₄⋊₂S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×D₄⋊₂S₃) = C₂×D₂₀⋊S₃	φ: C₂×D₄⋊₂S₃/C₂×Dic₆ → C₂ ⊆ Aut C₅	240		C5:1(C2xD4:2S3)	480,1075
C₅⋊₂(C₂×D₄⋊₂S₃) = C₂×D₂₀⋊₅S₃	φ: C₂×D₄⋊₂S₃/S₃×C₂×C₄ → C₂ ⊆ Aut C₅	240		C5:2(C2xD4:2S3)	480,1074
C₅⋊₃(C₂×D₄⋊₂S₃) = D₅×D₄⋊₂S₃	φ: C₂×D₄⋊₂S₃/D₄⋊₂S₃ → C₂ ⊆ Aut C₅	120	8-	C5:3(C2xD4:2S3)	480,1098
C₅⋊₄(C₂×D₄⋊₂S₃) = C₂×Dic₅.D₆	φ: C₂×D₄⋊₂S₃/C₂²×Dic₃ → C₂ ⊆ Aut C₅	240		C5:4(C2xD4:2S3)	480,1113
C₅⋊₅(C₂×D₄⋊₂S₃) = C₂×C₃₀.C₂³	φ: C₂×D₄⋊₂S₃/C₂×C₃⋊D₄ → C₂ ⊆ Aut C₅	240		C5:5(C2xD4:2S3)	480,1114
C₅⋊₆(C₂×D₄⋊₂S₃) = C₂×D₄⋊₂D₁₅	φ: C₂×D₄⋊₂S₃/C₆×D₄ → C₂ ⊆ Aut C₅	240		C5:6(C2xD4:2S3)	480,1170

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