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

Direct product G=N×Q with N=C₅²⋊₅C₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₅²⋊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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