Extensions 1→N→G→Q→1 with N=C₅ and Q=Dic₂₅

Direct product G=N×Q with N=C₅ and Q=Dic₂₅

		d	ρ	Label	ID
C₅×Dic₂₅		100	2	C5xDic25	500,6

Semidirect products G=N:Q with N=C₅ and Q=Dic₂₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊Dic₂₅ = D₅.D₂₅	φ: Dic₂₅/C₂₅ → C₄ ⊆ Aut C₅	100	4	C5:Dic25	500,19
C₅⋊₂Dic₂₅ = C₅₀.D₅	φ: Dic₂₅/C₅₀ → C₂ ⊆ Aut C₅	500		C5:2Dic25	500,10

Non-split extensions G=N.Q with N=C₅ and Q=Dic₂₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.Dic₂₅ = Dic₁₂₅	φ: Dic₂₅/C₅₀ → C₂ ⊆ Aut C₅	500	2-	C5.Dic25	500,1

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Extensions 1→N→G→Q→1 with N=C5 and Q=Dic25