Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂xDic₅

Direct product G=NxQ with N=C₅ and Q=C₂xDic₅

		d	ρ	Label	ID
C₁₀xDic₅		40		C10xDic5	200,30

Semidirect products G=N:Q with N=C₅ and Q=C₂xDic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:(C₂xDic₅) = C₂xD₅.D₅	φ: C₂xDic₅/C₁₀ → C₄ ⊆ Aut C₅	40	4	C5:(C2xDic5)	200,46
C₅:₂(C₂xDic₅) = D₅xDic₅	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Aut C₅	40	4-	C5:2(C2xDic5)	200,22
C₅:₃(C₂xDic₅) = C₂xC₅²:₆C₄	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Aut C₅	200		C5:3(C2xDic5)	200,35

Non-split extensions G=N.Q with N=C₅ and Q=C₂xDic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₂xDic₅) = C₂xDic₂₅	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Aut C₅	200		C5.(C2xDic5)	200,7

Extensions 1→N→G→Q→1 with N=C5 and Q=C2xDic5