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

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

		d	ρ	Label	ID
C₂⁴×C₂₀		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 = C₄×C₂⁴⋊C₅	φ: C₂₀/C₄ → C₅ ⊆ Aut C₂⁴	20	5	C2^4:C20	320,1584
C₂⁴⋊₂C₂₀ = C₅×C₂≀C₄	φ: C₂₀/C₅ → C₄ ⊆ Aut C₂⁴	40	4	C2^4:2C20	320,156
C₂⁴⋊₃C₂₀ = C₁₀×C₂³⋊C₄	φ: C₂₀/C₅ → C₄ ⊆ Aut C₂⁴	80		C2^4:3C20	320,910
C₂⁴⋊₄C₂₀ = C₅×C₂⁴⋊₃C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂⁴	80		C2^4:4C20	320,880
C₂⁴⋊₅C₂₀ = C₂²⋊C₄×C₂×C₁₀	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 = C₅×C₂³⋊C₈	φ: C₂₀/C₅ → C₄ ⊆ Aut C₂⁴	80		C2^4.1C20	320,128
C₂⁴.₂C₂₀ = C₁₀×C₄.D₄	φ: C₂₀/C₅ → C₄ ⊆ Aut C₂⁴	80		C2^4.2C20	320,912
C₂⁴.₃C₂₀ = C₁₀×C₂²⋊C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂⁴	160		C2^4.3C20	320,907
C₂⁴.₄C₂₀ = C₅×C₂⁴.₄C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂⁴	80		C2^4.4C20	320,908
C₂⁴.₅C₂₀ = M₄(2)×C₂×C₁₀	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂⁴	160		C2^4.5C20	320,1568

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