Extensions 1→N→G→Q→1 with N=D₅×C₂⁴ and Q=C₂

Direct product G=N×Q with N=D₅×C₂⁴ and Q=C₂

		d	ρ	Label	ID
D₅×C₂⁵		160		D5xC2^5	320,1639

Semidirect products G=N:Q with N=D₅×C₂⁴ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₂⁴)⋊₁C₂ = C₂×C₂²⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂⁴	80		(D5xC2^4):1C2	320,1159
(D₅×C₂⁴)⋊₂C₂ = D₅×C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂⁴	40		(D5xC2^4):2C2	320,1260
(D₅×C₂⁴)⋊₃C₂ = C₂×C₂³⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂⁴	80		(D5xC2^4):3C2	320,1471
(D₅×C₂⁴)⋊₄C₂ = C₂³×D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂⁴	160		(D5xC2^4):4C2	320,1610
(D₅×C₂⁴)⋊₅C₂ = C₂²×D₄×D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂⁴	80		(D5xC2^4):5C2	320,1612
(D₅×C₂⁴)⋊₆C₂ = C₂³×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂⁴	160		(D5xC2^4):6C2	320,1627

Non-split extensions G=N.Q with N=D₅×C₂⁴ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₂⁴).₁C₂ = C₂⁴.₄₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂⁴	80		(D5xC2^4).1C2	320,582
(D₅×C₂⁴).₂C₂ = C₂×D₅×C₂²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂⁴	80		(D5xC2^4).2C2	320,1156
(D₅×C₂⁴).₃C₂ = C₂²×D₁₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂⁴	160		(D5xC2^4).3C2	320,1459
(D₅×C₂⁴).₄C₂ = C₂⁴⋊₄F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂⁴	40		(D5xC2^4).4C2	320,1138
(D₅×C₂⁴).₅C₂ = C₂²×C₂²⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂⁴	80		(D5xC2^4).5C2	320,1607
(D₅×C₂⁴).₆C₂ = C₂⁴×F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂⁴	80		(D5xC2^4).6C2	320,1638
(D₅×C₂⁴).₇C₂ = D₅×C₂³×C₄	φ: trivial image	160		(D5xC2^4).7C2	320,1609

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