Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂².₅₄C₂⁴

Direct product G=N×Q with N=C₅ and Q=C₂².₅₄C₂⁴

		d	ρ	Label	ID
C₅×C₂².₅₄C₂⁴		80		C5xC2^2.54C2^4	320,1562

Semidirect products G=N:Q with N=C₅ and Q=C₂².₅₄C₂⁴

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂².₅₄C₂⁴) = C₂⁴.₃₆D₁₀	φ: C₂².₅₄C₂⁴/C₂²≀C₂ → C₂ ⊆ Aut C₅	80		C5:1(C2^2.54C2^4)	320,1267
C₅⋊₂(C₂².₅₄C₂⁴) = C₁₀.₄₈2₊¹⁺⁴	φ: C₂².₅₄C₂⁴/C₄⋊D₄ → C₂ ⊆ Aut C₅	80		C5:2(C2^2.54C2^4)	320,1292
C₅⋊₃(C₂².₅₄C₂⁴) = C₁₀.₆₈2₊¹⁺⁴	φ: C₂².₅₄C₂⁴/C₂².D₄ → C₂ ⊆ Aut C₅	80		C5:3(C2^2.54C2^4)	320,1338
C₅⋊₄(C₂².₅₄C₂⁴) = C₄²⋊₂₅D₁₀	φ: C₂².₅₄C₂⁴/C₄²⋊₂C₂ → C₂ ⊆ Aut C₅	80		C5:4(C2^2.54C2^4)	320,1383
C₅⋊₅(C₂².₅₄C₂⁴) = C₄²⋊₂₈D₁₀	φ: C₂².₅₄C₂⁴/C₄⋊₁D₄ → C₂ ⊆ Aut C₅	80		C5:5(C2^2.54C2^4)	320,1392

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