Extensions 1→N→G→Q→1 with N=C₂⁴ and Q=C₂₀

Direct product G=NxQ with N=C₂⁴ and Q=C₂₀

		d	ρ	Label	ID
C₂⁴xC₂₀		320		C2^4xC20	320,1628

Semidirect products G=N:Q with N=C₂⁴ and Q=C₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴:C₂₀ = C₄xC₂⁴:C₅	φ: C₂₀/C₄ → C₅ ⊆ Aut C₂⁴	20	5	C2^4:C20	320,1584
C₂⁴:₂C₂₀ = C₅xC₂wrC₄	φ: C₂₀/C₅ → C₄ ⊆ Aut C₂⁴	40	4	C2^4:2C20	320,156
C₂⁴:₃C₂₀ = C₁₀xC₂³:C₄	φ: C₂₀/C₅ → C₄ ⊆ Aut C₂⁴	80		C2^4:3C20	320,910
C₂⁴:₄C₂₀ = C₅xC₂⁴:₃C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂⁴	80		C2^4:4C20	320,880
C₂⁴:₅C₂₀ = C₂²:C₄xC₂xC₁₀	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂⁴	160		C2^4:5C20	320,1514

Non-split extensions G=N.Q with N=C₂⁴ and Q=C₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴.₁C₂₀ = C₅xC₂³:C₈	φ: C₂₀/C₅ → C₄ ⊆ Aut C₂⁴	80		C2^4.1C20	320,128
C₂⁴.₂C₂₀ = C₁₀xC₄.D₄	φ: C₂₀/C₅ → C₄ ⊆ Aut C₂⁴	80		C2^4.2C20	320,912
C₂⁴.₃C₂₀ = C₁₀xC₂²:C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂⁴	160		C2^4.3C20	320,907
C₂⁴.₄C₂₀ = C₅xC₂⁴.₄C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂⁴	80		C2^4.4C20	320,908
C₂⁴.₅C₂₀ = M₄(2)xC₂xC₁₀	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂⁴	160		C2^4.5C20	320,1568

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