Extensions 1→N→G→Q→1 with N=C₅²⋊₂Q₈ and Q=C₂

Direct product G=N×Q with N=C₅²⋊₂Q₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₅²⋊₂Q₈		80		C2xC5^2:2Q8	400,178

Semidirect products G=N:Q with N=C₅²⋊₂Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₅²⋊₂Q₈⋊₁C₂ = C₅²⋊SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊₂Q₈	40	4-	C5^2:2Q8:1C2	400,132
C₅²⋊₂Q₈⋊₂C₂ = D₅×Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊₂Q₈	80	4-	C5^2:2Q8:2C2	400,163
C₅²⋊₂Q₈⋊₃C₂ = Dic₁₀⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊₂Q₈	40	4	C5^2:2Q8:3C2	400,166
C₅²⋊₂Q₈⋊₄C₂ = Dic₅.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊₂Q₈	40	4	C5^2:2Q8:4C2	400,173
C₅²⋊₂Q₈⋊₅C₂ = D₁₀.₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊₂Q₈	40	4-	C5^2:2Q8:5C2	400,174
C₅²⋊₂Q₈⋊₆C₂ = D₁₀.₉D₁₀	φ: trivial image	40	4	C5^2:2Q8:6C2	400,167

Non-split extensions G=N.Q with N=C₅²⋊₂Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₅²⋊₂Q₈.C₂ = C₅²⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊₂Q₈	80	4-	C5^2:2Q8.C2	400,133

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