Extensions 1→N→G→Q→1 with N=C₅×C₅⋊₂C₈ and Q=C₂

Direct product G=N×Q with N=C₅×C₅⋊₂C₈ and Q=C₂

		d	ρ	Label	ID
C₁₀×C₅⋊₂C₈		80		C10xC5:2C8	400,81

Semidirect products G=N:Q with N=C₅×C₅⋊₂C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×C₅⋊₂C₈)⋊₁C₂ = C₅⋊D₄₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₅⋊₂C₈	40	4+	(C5xC5:2C8):1C2	400,65
(C₅×C₅⋊₂C₈)⋊₂C₂ = C₅²⋊₃SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₅⋊₂C₈	80	4-	(C5xC5:2C8):2C2	400,67
(C₅×C₅⋊₂C₈)⋊₃C₂ = C₅²⋊₄SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₅⋊₂C₈	40	4+	(C5xC5:2C8):3C2	400,68
(C₅×C₅⋊₂C₈)⋊₄C₂ = D₅×C₅⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₅⋊₂C₈	80	4	(C5xC5:2C8):4C2	400,60
(C₅×C₅⋊₂C₈)⋊₅C₂ = C₂₀.₂₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₅⋊₂C₈	40	4	(C5xC5:2C8):5C2	400,61
(C₅×C₅⋊₂C₈)⋊₆C₂ = C₂₀.₃₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₅⋊₂C₈	80	4	(C5xC5:2C8):6C2	400,62
(C₅×C₅⋊₂C₈)⋊₇C₂ = C₂₀.₃₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₅⋊₂C₈	40	4	(C5xC5:2C8):7C2	400,63
(C₅×C₅⋊₂C₈)⋊₈C₂ = C₅×D₄⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₅⋊₂C₈	40	4	(C5xC5:2C8):8C2	400,87
(C₅×C₅⋊₂C₈)⋊₉C₂ = C₅×D₄.D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₅⋊₂C₈	40	4	(C5xC5:2C8):9C2	400,88
(C₅×C₅⋊₂C₈)⋊₁₀C₂ = C₅×Q₈⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₅⋊₂C₈	80	4	(C5xC5:2C8):10C2	400,89
(C₅×C₅⋊₂C₈)⋊₁₁C₂ = C₅×C₈⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₅⋊₂C₈	80	2	(C5xC5:2C8):11C2	400,77
(C₅×C₅⋊₂C₈)⋊₁₂C₂ = C₅×C₄.Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₅⋊₂C₈	40	2	(C5xC5:2C8):12C2	400,82
(C₅×C₅⋊₂C₈)⋊₁₃C₂ = D₅×C₄₀	φ: trivial image	80	2	(C5xC5:2C8):13C2	400,76

Non-split extensions G=N.Q with N=C₅×C₅⋊₂C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×C₅⋊₂C₈).₁C₂ = C₅×C₅⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₅⋊₂C₈	80	4	(C5xC5:2C8).1C2	400,56
(C₅×C₅⋊₂C₈).₂C₂ = C₅²⋊₃Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₅⋊₂C₈	80	4-	(C5xC5:2C8).2C2	400,70
(C₅×C₅⋊₂C₈).₃C₂ = C₅²⋊₃C₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₅⋊₂C₈	80	4	(C5xC5:2C8).3C2	400,57
(C₅×C₅⋊₂C₈).₄C₂ = C₅×C₅⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₅⋊₂C₈	80	4	(C5xC5:2C8).4C2	400,90

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