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

Direct product G=N×Q with N=C₂×D₅.D₅ and Q=C₂

		d	ρ	Label	ID
C₂²×D₅.D₅		80		C2^2xD5.D5	400,215

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₅.D₅)⋊₁C₂ = D₅.D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅.D₅	40	8+	(C2xD5.D5):1C2	400,118
(C₂×D₅.D₅)⋊₂C₂ = D₁₀.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅.D₅	40	4	(C2xD5.D5):2C2	400,148
(C₂×D₅.D₅)⋊₃C₂ = C₂×D₅×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅.D₅	40	8+	(C2xD5.D5):3C2	400,209

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₅.D₅).₁C₂ = Dic₅×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅.D₅	80	8-	(C2xD5.D5).1C2	400,117
(C₂×D₅.D₅).₂C₂ = D₅.Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅.D₅	80	8-	(C2xD5.D5).2C2	400,119
(C₂×D₅.D₅).₃C₂ = C₂₀⋊₅F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅.D₅	80	4	(C2xD5.D5).3C2	400,145
(C₂×D₅.D₅).₄C₂ = C₄×D₅.D₅	φ: trivial image	80	4	(C2xD5.D5).4C2	400,144

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