Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×Dic₁₀

Direct product G=N×Q with N=C₅ and Q=C₂×Dic₁₀

		d	ρ	Label	ID
C₁₀×Dic₁₀		80		C10xDic10	400,181

Semidirect products G=N:Q with N=C₅ and Q=C₂×Dic₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×Dic₁₀) = D₅×Dic₁₀	φ: C₂×Dic₁₀/Dic₁₀ → C₂ ⊆ Aut C₅	80	4-	C5:1(C2xDic10)	400,163
C₅⋊₂(C₂×Dic₁₀) = C₂×C₅²⋊₂Q₈	φ: C₂×Dic₁₀/C₂×Dic₅ → C₂ ⊆ Aut C₅	80		C5:2(C2xDic10)	400,178
C₅⋊₃(C₂×Dic₁₀) = C₂×C₅²⋊₄Q₈	φ: C₂×Dic₁₀/C₂×C₂₀ → C₂ ⊆ Aut C₅	400		C5:3(C2xDic10)	400,191

Non-split extensions G=N.Q with N=C₅ and Q=C₂×Dic₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₂×Dic₁₀) = C₂×Dic₅₀	φ: C₂×Dic₁₀/C₂×C₂₀ → C₂ ⊆ Aut C₅	400		C5.(C2xDic10)	400,35

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Extensions 1→N→G→Q→1 with N=C5 and Q=C2×Dic10