Extensions 1→N→G→Q→1 with N=D₅xC₂⁴ and Q=C₂

Direct product G=NxQ with N=D₅xC₂⁴ and Q=C₂

		d	ρ	Label	ID
D₅xC₂⁵		160		D5xC2^5	320,1639

Semidirect products G=N:Q with N=D₅xC₂⁴ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅xC₂⁴):₁C₂ = C₂xC₂²:D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂⁴	80		(D5xC2^4):1C2	320,1159
(D₅xC₂⁴):₂C₂ = D₅xC₂²wrC₂	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂⁴	40		(D5xC2^4):2C2	320,1260
(D₅xC₂⁴):₃C₂ = C₂xC₂³:D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂⁴	80		(D5xC2^4):3C2	320,1471
(D₅xC₂⁴):₄C₂ = C₂³xD₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂⁴	160		(D5xC2^4):4C2	320,1610
(D₅xC₂⁴):₅C₂ = C₂²xD₄xD₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂⁴	80		(D5xC2^4):5C2	320,1612
(D₅xC₂⁴):₆C₂ = C₂³xC₅:D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂⁴	160		(D5xC2^4):6C2	320,1627

Non-split extensions G=N.Q with N=D₅xC₂⁴ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅xC₂⁴).₁C₂ = C₂⁴.₄₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂⁴	80		(D5xC2^4).1C2	320,582
(D₅xC₂⁴).₂C₂ = C₂xD₅xC₂²:C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂⁴	80		(D5xC2^4).2C2	320,1156
(D₅xC₂⁴).₃C₂ = C₂²xD₁₀:C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂⁴	160		(D5xC2^4).3C2	320,1459
(D₅xC₂⁴).₄C₂ = C₂⁴:₄F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂⁴	40		(D5xC2^4).4C2	320,1138
(D₅xC₂⁴).₅C₂ = C₂²xC₂²:F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂⁴	80		(D5xC2^4).5C2	320,1607
(D₅xC₂⁴).₆C₂ = C₂⁴xF₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂⁴	80		(D5xC2^4).6C2	320,1638
(D₅xC₂⁴).₇C₂ = D₅xC₂³xC₄	φ: trivial image	160		(D5xC2^4).7C2	320,1609

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