Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂².₃₆C₂⁴

Direct product G=N×Q with N=C₅ and Q=C₂².₃₆C₂⁴

		d	ρ	Label	ID
C₅×C₂².₃₆C₂⁴		160		C5xC2^2.36C2^4	320,1544

Semidirect products G=N:Q with N=C₅ and Q=C₂².₃₆C₂⁴

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂².₃₆C₂⁴) = C₄².₉₉D₁₀	φ: C₂².₃₆C₂⁴/C₄²⋊C₂ → C₂ ⊆ Aut C₅	160		C5:1(C2^2.36C2^4)	320,1206
C₅⋊₂(C₂².₃₆C₂⁴) = C₄².₁₁₅D₁₀	φ: C₂².₃₆C₂⁴/C₄×D₄ → C₂ ⊆ Aut C₅	160		C5:2(C2^2.36C2^4)	320,1233
C₅⋊₃(C₂².₃₆C₂⁴) = C₄².₁₃₃D₁₀	φ: C₂².₃₆C₂⁴/C₄×Q₈ → C₂ ⊆ Aut C₅	160		C5:3(C2^2.36C2^4)	320,1254
C₅⋊₄(C₂².₃₆C₂⁴) = C₁₀.₃₆2₊¹⁺⁴	φ: C₂².₃₆C₂⁴/C₄⋊D₄ → C₂ ⊆ Aut C₅	160		C5:4(C2^2.36C2^4)	320,1275
C₅⋊₅(C₂².₃₆C₂⁴) = C₁₀.₂₂2_-¹⁺⁴	φ: C₂².₃₆C₂⁴/C₂²⋊Q₈ → C₂ ⊆ Aut C₅	160		C5:5(C2^2.36C2^4)	320,1312
C₅⋊₆(C₂².₃₆C₂⁴) = C₁₀.₂₄2_-¹⁺⁴	φ: C₂².₃₆C₂⁴/C₂²⋊Q₈ → C₂ ⊆ Aut C₅	160		C5:6(C2^2.36C2^4)	320,1315
C₅⋊₇(C₂².₃₆C₂⁴) = C₁₀.₈₄2_-¹⁺⁴	φ: C₂².₃₆C₂⁴/C₂².D₄ → C₂ ⊆ Aut C₅	160		C5:7(C2^2.36C2^4)	320,1334
C₅⋊₈(C₂².₃₆C₂⁴) = C₄².₁₃₇D₁₀	φ: C₂².₃₆C₂⁴/C₄.₄D₄ → C₂ ⊆ Aut C₅	160		C5:8(C2^2.36C2^4)	320,1341
C₅⋊₉(C₂².₃₆C₂⁴) = C₄².₁₄₄D₁₀	φ: C₂².₃₆C₂⁴/C₄.₄D₄ → C₂ ⊆ Aut C₅	160		C5:9(C2^2.36C2^4)	320,1354
C₅⋊₁₀(C₂².₃₆C₂⁴) = C₄².₁₆₄D₁₀	φ: C₂².₃₆C₂⁴/C₄²⋊₂C₂ → C₂ ⊆ Aut C₅	160		C5:10(C2^2.36C2^4)	320,1382
C₅⋊₁₁(C₂².₃₆C₂⁴) = C₄².₁₇₈D₁₀	φ: C₂².₃₆C₂⁴/C₄⋊Q₈ → C₂ ⊆ Aut C₅	160		C5:11(C2^2.36C2^4)	320,1405

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