Extensions 1→N→G→Q→1 with N=C₅×C₅⋊D₅ and Q=C₂

Direct product G=N×Q with N=C₅×C₅⋊D₅ and Q=C₂

		d	ρ	Label	ID
C₁₀×C₅⋊D₅		100		C10xC5:D5	500,54

Semidirect products G=N:Q with N=C₅×C₅⋊D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×C₅⋊D₅)⋊₁C₂ = C₅×D₅²	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₅⋊D₅	20	4	(C5xC5:D5):1C2	500,50
(C₅×C₅⋊D₅)⋊₂C₂ = D₅×C₅⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₅⋊D₅	50		(C5xC5:D5):2C2	500,51
(C₅×C₅⋊D₅)⋊₃C₂ = C₅²⋊₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₅⋊D₅	20	4	(C5xC5:D5):3C2	500,52

Non-split extensions G=N.Q with N=C₅×C₅⋊D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×C₅⋊D₅).₁C₂ = C₅×C₅⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₅⋊D₅	100		(C5xC5:D5).1C2	500,43
(C₅×C₅⋊D₅).₂C₂ = C₅×C₅²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₅⋊D₅	20	4	(C5xC5:D5).2C2	500,44
(C₅×C₅⋊D₅).₃C₂ = C₅³⋊₆C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₅⋊D₅	20	4	(C5xC5:D5).3C2	500,46
(C₅×C₅⋊D₅).₄C₂ = C₅³⋊₇C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₅⋊D₅	100		(C5xC5:D5).4C2	500,47

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