Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂xDic₁₀

Direct product G=NxQ with N=C₅ and Q=C₂xDic₁₀

		d	ρ	Label	ID
C₁₀xDic₁₀		80		C10xDic10	400,181

Semidirect products G=N:Q with N=C₅ and Q=C₂xDic₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:₁(C₂xDic₁₀) = D₅xDic₁₀	φ: C₂xDic₁₀/Dic₁₀ → C₂ ⊆ Aut C₅	80	4-	C5:1(C2xDic10)	400,163
C₅:₂(C₂xDic₁₀) = C₂xC₅²:₂Q₈	φ: C₂xDic₁₀/C₂xDic₅ → C₂ ⊆ Aut C₅	80		C5:2(C2xDic10)	400,178
C₅:₃(C₂xDic₁₀) = C₂xC₅²:₄Q₈	φ: C₂xDic₁₀/C₂xC₂₀ → C₂ ⊆ Aut C₅	400		C5:3(C2xDic10)	400,191

Non-split extensions G=N.Q with N=C₅ and Q=C₂xDic₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₂xDic₁₀) = C₂xDic₅₀	φ: C₂xDic₁₀/C₂xC₂₀ → C₂ ⊆ Aut C₅	400		C5.(C2xDic10)	400,35

Extensions 1→N→G→Q→1 with N=C5 and Q=C2xDic10