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

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

		d	ρ	Label	ID
C₅×C₂₀		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 = C₅×F₅	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 = C₅×Dic₅	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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