Extensions 1→N→G→Q→1 with N=C₂⁴×C₁₀ and Q=C₂

Direct product G=N×Q with N=C₂⁴×C₁₀ and Q=C₂

		d	ρ	Label	ID
C₂⁵×C₁₀		320		C2^5xC10	320,1640

Semidirect products G=N:Q with N=C₂⁴×C₁₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂⁴×C₁₀)⋊₁C₂ = C₁₀×C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴×C₁₀	80		(C2^4xC10):1C2	320,1523
(C₂⁴×C₁₀)⋊₂C₂ = D₄×C₂²×C₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴×C₁₀	160		(C2^4xC10):2C2	320,1629
(C₂⁴×C₁₀)⋊₃C₂ = C₂×C₂⁴⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴×C₁₀	80		(C2^4xC10):3C2	320,1512
(C₂⁴×C₁₀)⋊₄C₂ = C₂³×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴×C₁₀	160		(C2^4xC10):4C2	320,1627
(C₂⁴×C₁₀)⋊₅C₂ = D₅×C₂⁵	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴×C₁₀	160		(C2^4xC10):5C2	320,1639

Non-split extensions G=N.Q with N=C₂⁴×C₁₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂⁴×C₁₀).₁C₂ = C₅×C₂⁴⋊₃C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴×C₁₀	80		(C2^4xC10).1C2	320,880
(C₂⁴×C₁₀).₂C₂ = C₂²⋊C₄×C₂×C₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴×C₁₀	160		(C2^4xC10).2C2	320,1514
(C₂⁴×C₁₀).₃C₂ = C₂⁵.₂D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴×C₁₀	80		(C2^4xC10).3C2	320,874
(C₂⁴×C₁₀).₄C₂ = C₂²×C₂³.D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴×C₁₀	160		(C2^4xC10).4C2	320,1511
(C₂⁴×C₁₀).₅C₂ = C₂⁴×Dic₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴×C₁₀	320		(C2^4xC10).5C2	320,1626

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