Extensions 1→N→G→Q→1 with N=C₅×C₅⋊D₄ and Q=C₂

Direct product G=N×Q with N=C₅×C₅⋊D₄ and Q=C₂

		d	ρ	Label	ID
C₁₀×C₅⋊D₄		40		C10xC5:D4	400,190

Semidirect products G=N:Q with N=C₅×C₅⋊D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×C₅⋊D₄)⋊₁C₂ = Dic₅.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₅⋊D₄	40	4	(C5xC5:D4):1C2	400,173
(C₅×C₅⋊D₄)⋊₂C₂ = D₁₀.₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₅⋊D₄	40	4-	(C5xC5:D4):2C2	400,174
(C₅×C₅⋊D₄)⋊₃C₂ = D₅×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₅⋊D₄	40	4	(C5xC5:D4):3C2	400,179
(C₅×C₅⋊D₄)⋊₄C₂ = D₁₀⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₅⋊D₄	20	4+	(C5xC5:D4):4C2	400,180
(C₅×C₅⋊D₄)⋊₅C₂ = C₅×D₄×D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₅⋊D₄	40	4	(C5xC5:D4):5C2	400,185
(C₅×C₅⋊D₄)⋊₆C₂ = C₅×D₄⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₅⋊D₄	40	4	(C5xC5:D4):6C2	400,186
(C₅×C₅⋊D₄)⋊₇C₂ = C₅×C₄○D₂₀	φ: trivial image	40	2	(C5xC5:D4):7C2	400,184

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