Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂².₁₉C₂⁴

Direct product G=N×Q with N=C₅ and Q=C₂².₁₉C₂⁴

		d	ρ	Label	ID
C₅×C₂².₁₉C₂⁴		80		C5xC2^2.19C2^4	320,1527

Semidirect products G=N:Q with N=C₅ and Q=C₂².₁₉C₂⁴

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂².₁₉C₂⁴) = C₄²⋊₈D₁₀	φ: C₂².₁₉C₂⁴/C₄²⋊C₂ → C₂ ⊆ Aut C₅	80		C5:1(C2^2.19C2^4)	320,1196
C₅⋊₂(C₂².₁₉C₂⁴) = C₄²⋊₁₂D₁₀	φ: C₂².₁₉C₂⁴/C₄×D₄ → C₂ ⊆ Aut C₅	80		C5:2(C2^2.19C2^4)	320,1219
C₅⋊₃(C₂².₁₉C₂⁴) = C₂⁴.₅₆D₁₀	φ: C₂².₁₉C₂⁴/C₂²≀C₂ → C₂ ⊆ Aut C₅	80		C5:3(C2^2.19C2^4)	320,1258
C₅⋊₄(C₂².₁₉C₂⁴) = C₄⋊C₄⋊₂₁D₁₀	φ: C₂².₁₉C₂⁴/C₄⋊D₄ → C₂ ⊆ Aut C₅	80		C5:4(C2^2.19C2^4)	320,1278
C₅⋊₅(C₂².₁₉C₂⁴) = C₄⋊C₄⋊₂₆D₁₀	φ: C₂².₁₉C₂⁴/C₂²⋊Q₈ → C₂ ⊆ Aut C₅	80		C5:5(C2^2.19C2^4)	320,1299
C₅⋊₆(C₂².₁₉C₂⁴) = C₄⋊C₄⋊₂₈D₁₀	φ: C₂².₁₉C₂⁴/C₂².D₄ → C₂ ⊆ Aut C₅	80		C5:6(C2^2.19C2^4)	320,1328
C₅⋊₇(C₂².₁₉C₂⁴) = C₂⁴.₇₂D₁₀	φ: C₂².₁₉C₂⁴/C₂³×C₄ → C₂ ⊆ Aut C₅	80		C5:7(C2^2.19C2^4)	320,1463
C₅⋊₈(C₂².₁₉C₂⁴) = (C₂×C₂₀)⋊₁₅D₄	φ: C₂².₁₉C₂⁴/C₂×C₄○D₄ → C₂ ⊆ Aut C₅	80		C5:8(C2^2.19C2^4)	320,1500

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