Extensions 1→N→G→Q→1 with N=C₅² and Q=C₄²

Direct product G=N×Q with N=C₅² and Q=C₄²

		d	ρ	Label	ID
C₂₀²		400		C20^2	400,108

Semidirect products G=N:Q with N=C₅² and Q=C₄²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅²⋊C₄² = F₅²	φ: C₄²/C₁ → C₄² ⊆ Aut C₅²	20	16+	C5^2:C4^2	400,205
C₅²⋊₂C₄² = Dic₅×F₅	φ: C₄²/C₂ → C₂×C₄ ⊆ Aut C₅²	80	8-	C5^2:2C4^2	400,117
C₅²⋊₃C₄² = C₅²⋊₃C₄²	φ: C₄²/C₂ → C₂×C₄ ⊆ Aut C₅²	20	8+	C5^2:3C4^2	400,124
C₅²⋊₄C₄² = C₂₀×F₅	φ: C₄²/C₄ → C₄ ⊆ Aut C₅²	80	4	C5^2:4C4^2	400,137
C₅²⋊₅C₄² = C₄×D₅.D₅	φ: C₄²/C₄ → C₄ ⊆ Aut C₅²	80	4	C5^2:5C4^2	400,144
C₅²⋊₆C₄² = C₄×C₅⋊F₅	φ: C₄²/C₄ → C₄ ⊆ Aut C₅²	100		C5^2:6C4^2	400,151
C₅²⋊₇C₄² = C₄×C₅²⋊C₄	φ: C₄²/C₄ → C₄ ⊆ Aut C₅²	40	4	C5^2:7C4^2	400,158
C₅²⋊₈C₄² = Dic₅²	φ: C₄²/C₂² → C₂² ⊆ Aut C₅²	80		C5^2:8C4^2	400,71
C₅²⋊₉C₄² = Dic₅×C₂₀	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₅²	80		C5^2:9C4^2	400,83
C₅²⋊₁₀C₄² = C₄×C₅²⋊₆C₄	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₅²	400		C5^2:10C4^2	400,99

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