Extensions 1→N→G→Q→1 with N=C₄ and Q=Dic₅

Direct product G=NxQ with N=C₄ and Q=Dic₅

		d	ρ	Label	ID
C₄xDic₅		80		C4xDic5	80,11

Semidirect products G=N:Q with N=C₄ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:Dic₅ = C₄:Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₄	80		C4:Dic5	80,13

Non-split extensions G=N.Q with N=C₄ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.Dic₅ = C₄.Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₄	40	2	C4.Dic5	80,10
C₄.₂Dic₅ = C₅:₂C₁₆	central extension (φ=1)	80	2	C4.2Dic5	80,1
C₄.₃Dic₅ = C₂xC₅:₂C₈	central extension (φ=1)	80		C4.3Dic5	80,9

Extensions 1→N→G→Q→1 with N=C4 and Q=Dic5