Extensions 1→N→G→Q→1 with N=C₅² and Q=C₄

Direct product G=NxQ with N=C₅² and Q=C₄

		d	ρ	Label	ID
C₅xC₂₀		100		C5xC20	100,8

Semidirect products G=N:Q with N=C₅² and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅²:₁C₄ = C₅xF₅	φ: C₄/C₁ → C₄ ⊆ Aut C₅²	20	4	C5^2:1C4	100,9
C₅²:₂C₄ = D₅.D₅	φ: C₄/C₁ → C₄ ⊆ Aut C₅²	20	4	C5^2:2C4	100,10
C₅²:₃C₄ = C₅:F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₅²	25		C5^2:3C4	100,11
C₅²:₄C₄ = C₅²:C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₅²	10	4+	C5^2:4C4	100,12
C₅²:₅C₄ = C₅xDic₅	φ: C₄/C₂ → C₂ ⊆ Aut C₅²	20	2	C5^2:5C4	100,6
C₅²:₆C₄ = C₅²:₆C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₅²	100		C5^2:6C4	100,7

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