Extensions 1→N→G→Q→1 with N=C₅xC₅:₂C₈ and Q=C₂

Direct product G=NxQ with N=C₅xC₅:₂C₈ and Q=C₂

		d	ρ	Label	ID
C₁₀xC₅:₂C₈		80		C10xC5:2C8	400,81

Semidirect products G=N:Q with N=C₅xC₅:₂C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xC₅:₂C₈):₁C₂ = C₅:D₄₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₅:₂C₈	40	4+	(C5xC5:2C8):1C2	400,65
(C₅xC₅:₂C₈):₂C₂ = C₅²:₃SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₅:₂C₈	80	4-	(C5xC5:2C8):2C2	400,67
(C₅xC₅:₂C₈):₃C₂ = C₅²:₄SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₅:₂C₈	40	4+	(C5xC5:2C8):3C2	400,68
(C₅xC₅:₂C₈):₄C₂ = D₅xC₅:₂C₈	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₅:₂C₈	80	4	(C5xC5:2C8):4C2	400,60
(C₅xC₅:₂C₈):₅C₂ = C₂₀.₂₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₅:₂C₈	40	4	(C5xC5:2C8):5C2	400,61
(C₅xC₅:₂C₈):₆C₂ = C₂₀.₃₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₅:₂C₈	80	4	(C5xC5:2C8):6C2	400,62
(C₅xC₅:₂C₈):₇C₂ = C₂₀.₃₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₅:₂C₈	40	4	(C5xC5:2C8):7C2	400,63
(C₅xC₅:₂C₈):₈C₂ = C₅xD₄:D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₅:₂C₈	40	4	(C5xC5:2C8):8C2	400,87
(C₅xC₅:₂C₈):₉C₂ = C₅xD₄.D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₅:₂C₈	40	4	(C5xC5:2C8):9C2	400,88
(C₅xC₅:₂C₈):₁₀C₂ = C₅xQ₈:D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₅:₂C₈	80	4	(C5xC5:2C8):10C2	400,89
(C₅xC₅:₂C₈):₁₁C₂ = C₅xC₈:D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₅:₂C₈	80	2	(C5xC5:2C8):11C2	400,77
(C₅xC₅:₂C₈):₁₂C₂ = C₅xC₄.Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₅:₂C₈	40	2	(C5xC5:2C8):12C2	400,82
(C₅xC₅:₂C₈):₁₃C₂ = D₅xC₄₀	φ: trivial image	80	2	(C5xC5:2C8):13C2	400,76

Non-split extensions G=N.Q with N=C₅xC₅:₂C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xC₅:₂C₈).₁C₂ = C₅xC₅:C₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₅:₂C₈	80	4	(C5xC5:2C8).1C2	400,56
(C₅xC₅:₂C₈).₂C₂ = C₅²:₃Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₅:₂C₈	80	4-	(C5xC5:2C8).2C2	400,70
(C₅xC₅:₂C₈).₃C₂ = C₅²:₃C₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₅:₂C₈	80	4	(C5xC5:2C8).3C2	400,57
(C₅xC₅:₂C₈).₄C₂ = C₅xC₅:Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₅:₂C₈	80	4	(C5xC5:2C8).4C2	400,90

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