Extensions 1→N→G→Q→1 with N=C₅²⋊C₄ and Q=C₂

Direct product G=N×Q with N=C₅²⋊C₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₅²⋊C₄		20	4+	C2xC5^2:C4	200,48

Semidirect products G=N:Q with N=C₅²⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₅²⋊C₄⋊₁C₂ = D₅⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊C₄	10	8+	C5^2:C4:1C2	200,42
C₅²⋊C₄⋊₂C₂ = D₅≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊C₄	10	4+	C5^2:C4:2C2	200,43

Non-split extensions G=N.Q with N=C₅²⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₅²⋊C₄.C₂ = C₅²⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊C₄	10	8+	C5^2:C4.C2	200,44

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Extensions 1→N→G→Q→1 with N=C52⋊C4 and Q=C2