Extensions 1→N→G→Q→1 with N=C₅²⋊₄C₈ and Q=C₂

Direct product G=N×Q with N=C₅²⋊₄C₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₅²⋊₄C₈		400		C2xC5^2:4C8	400,153

Semidirect products G=N:Q with N=C₅²⋊₄C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₅²⋊₄C₈⋊₁C₂ = D₁₀.₂F₅	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊₄C₈	80	8-	C5^2:4C8:1C2	400,127
C₅²⋊₄C₈⋊₂C₂ = C₅²⋊₄M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊₄C₈	80	8-	C5^2:4C8:2C2	400,128
C₅²⋊₄C₈⋊₃C₂ = C₅²⋊₇M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊₄C₈	200		C5^2:4C8:3C2	400,150
C₅²⋊₄C₈⋊₄C₂ = C₅²⋊₁₃M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊₄C₈	200		C5^2:4C8:4C2	400,154
C₅²⋊₄C₈⋊₅C₂ = C₂₀.F₅	φ: trivial image	200		C5^2:4C8:5C2	400,149

Non-split extensions G=N.Q with N=C₅²⋊₄C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₅²⋊₄C₈.C₂ = C₅²⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊₄C₈	80	8-	C5^2:4C8.C2	400,116

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