Extensions 1→N→G→Q→1 with N=C₅²⋊₂D₄ and Q=C₂

Direct product G=N×Q with N=C₅²⋊₂D₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₅²⋊₂D₄		80		C2xC5^2:2D4	400,176

Semidirect products G=N:Q with N=C₅²⋊₂D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₅²⋊₂D₄⋊₁C₂ = D₂₀⋊₅D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊₂D₄	80	4-	C5^2:2D4:1C2	400,164
C₅²⋊₂D₄⋊₂C₂ = C₂₀⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊₂D₄	40	4	C5^2:2D4:2C2	400,171
C₅²⋊₂D₄⋊₃C₂ = D₁₀.₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊₂D₄	40	4-	C5^2:2D4:3C2	400,174
C₅²⋊₂D₄⋊₄C₂ = D₅×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊₂D₄	40	4	C5^2:2D4:4C2	400,179
C₅²⋊₂D₄⋊₅C₂ = C₅²⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊₂D₄	40	4	C5^2:2D4:5C2	400,131
C₅²⋊₂D₄⋊₆C₂ = D₁₀.₉D₁₀	φ: trivial image	40	4	C5^2:2D4:6C2	400,167

Non-split extensions G=N.Q with N=C₅²⋊₂D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₅²⋊₂D₄.C₂ = C₅²⋊SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊₂D₄	40	4-	C5^2:2D4.C2	400,132

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