Extensions 1→N→G→Q→1 with N=C₅²:₅C₈ and Q=C₂

Direct product G=NxQ with N=C₅²:₅C₈ and Q=C₂

		d	ρ	Label	ID
C₂xC₅²:₅C₈		80		C2xC5^2:5C8	400,160

Semidirect products G=N:Q with N=C₅²:₅C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₅²:₅C₈:₁C₂ = D₁₀.₂F₅	φ: C₂/C₁ → C₂ ⊆ Out C₅²:₅C₈	80	8-	C5^2:5C8:1C2	400,127
C₅²:₅C₈:₂C₂ = C₅²:₄M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₅²:₅C₈	80	8-	C5^2:5C8:2C2	400,128
C₅²:₅C₈:₃C₂ = C₅²:D₈	φ: C₂/C₁ → C₂ ⊆ Out C₅²:₅C₈	40	4	C5^2:5C8:3C2	400,131
C₅²:₅C₈:₄C₂ = C₅²:SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅²:₅C₈	40	4-	C5^2:5C8:4C2	400,132
C₅²:₅C₈:₅C₂ = C₅²:₈M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₅²:₅C₈	40	4	C5^2:5C8:5C2	400,157
C₅²:₅C₈:₆C₂ = C₅²:₁₄M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₅²:₅C₈	40	4-	C5^2:5C8:6C2	400,161
C₅²:₅C₈:₇C₂ = C₂₀.₁₁F₅	φ: trivial image	40	4	C5^2:5C8:7C2	400,156

Non-split extensions G=N.Q with N=C₅²:₅C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₅²:₅C₈.C₂ = C₅²:Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅²:₅C₈	80	4-	C5^2:5C8.C2	400,133

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