Extensions 1→N→G→Q→1 with N=C₅² and Q=D₄

Direct product G=N×Q with N=C₅² and Q=D₄

		d	ρ	Label	ID
D₄×C₅²		100		D4xC5^2	200,38

Semidirect products G=N:Q with N=C₅² and Q=D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅²⋊D₄ = D₅≀C₂	φ: D₄/C₁ → D₄ ⊆ Aut C₅²	10	4+	C5^2:D4	200,43
C₅²⋊₂D₄ = C₅²⋊₂D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₅²	40	4-	C5^2:2D4	200,24
C₅²⋊₃D₄ = C₅⋊D₂₀	φ: D₄/C₂ → C₂² ⊆ Aut C₅²	20	4+	C5^2:3D4	200,25
C₅²⋊₄D₄ = C₅×D₂₀	φ: D₄/C₄ → C₂ ⊆ Aut C₅²	40	2	C5^2:4D4	200,29
C₅²⋊₅D₄ = C₂₀⋊D₅	φ: D₄/C₄ → C₂ ⊆ Aut C₅²	100		C5^2:5D4	200,34
C₅²⋊₆D₄ = C₅×C₅⋊D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₅²	20	2	C5^2:6D4	200,31
C₅²⋊₇D₄ = C₅²⋊₇D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₅²	100		C5^2:7D4	200,36

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