Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂².₂₉C₂⁴

Direct product G=N×Q with N=C₅ and Q=C₂².₂₉C₂⁴

		d	ρ	Label	ID
C₅×C₂².₂₉C₂⁴		80		C5xC2^2.29C2^4	320,1537

Semidirect products G=N:Q with N=C₅ and Q=C₂².₂₉C₂⁴

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂².₂₉C₂⁴) = C₄²⋊₉D₁₀	φ: C₂².₂₉C₂⁴/C₄²⋊C₂ → C₂ ⊆ Aut C₅	80		C5:1(C2^2.29C2^4)	320,1197
C₅⋊₂(C₂².₂₉C₂⁴) = C₂⁴.₃₄D₁₀	φ: C₂².₂₉C₂⁴/C₂²≀C₂ → C₂ ⊆ Aut C₅	80		C5:2(C2^2.29C2^4)	320,1264
C₅⋊₃(C₂².₂₉C₂⁴) = C₁₀.₃₈2₊¹⁺⁴	φ: C₂².₂₉C₂⁴/C₄⋊D₄ → C₂ ⊆ Aut C₅	80		C5:3(C2^2.29C2^4)	320,1279
C₅⋊₄(C₂².₂₉C₂⁴) = C₄²⋊₁₈D₁₀	φ: C₂².₂₉C₂⁴/C₄.₄D₄ → C₂ ⊆ Aut C₅	80		C5:4(C2^2.29C2^4)	320,1346
C₅⋊₅(C₂².₂₉C₂⁴) = C₄²⋊₂₆D₁₀	φ: C₂².₂₉C₂⁴/C₄⋊₁D₄ → C₂ ⊆ Aut C₅	80		C5:5(C2^2.29C2^4)	320,1387
C₅⋊₆(C₂².₂₉C₂⁴) = C₂⁴.₄₁D₁₀	φ: C₂².₂₉C₂⁴/C₂²×D₄ → C₂ ⊆ Aut C₅	80		C5:6(C2^2.29C2^4)	320,1477
C₅⋊₇(C₂².₂₉C₂⁴) = C₁₀.₁₄₆2₊¹⁺⁴	φ: C₂².₂₉C₂⁴/C₂×C₄○D₄ → C₂ ⊆ Aut C₅	80		C5:7(C2^2.29C2^4)	320,1502

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