Extensions 1→N→G→Q→1 with N=C₅ and Q=D₄⋊₆D₄

Direct product G=N×Q with N=C₅ and Q=D₄⋊₆D₄

		d	ρ	Label	ID
C₅×D₄⋊₆D₄		160		C5xD4:6D4	320,1549

Semidirect products G=N:Q with N=C₅ and Q=D₄⋊₆D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₄⋊₆D₄) = C₁₀.2_-¹⁺⁴	φ: D₄⋊₆D₄/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₅	160		C5:1(D4:6D4)	320,1179
C₅⋊₂(D₄⋊₆D₄) = D₂₀⋊₂₄D₄	φ: D₄⋊₆D₄/C₄×D₄ → C₂ ⊆ Aut C₅	160		C5:2(D4:6D4)	320,1223
C₅⋊₃(D₄⋊₆D₄) = D₄⋊₆D₂₀	φ: D₄⋊₆D₄/C₄×D₄ → C₂ ⊆ Aut C₅	160		C5:3(D4:6D4)	320,1227
C₅⋊₄(D₄⋊₆D₄) = C₁₀.₇₃2_-¹⁺⁴	φ: D₄⋊₆D₄/C₄⋊D₄ → C₂ ⊆ Aut C₅	160		C5:4(D4:6D4)	320,1283
C₅⋊₅(D₄⋊₆D₄) = D₂₀⋊₂₂D₄	φ: D₄⋊₆D₄/C₂²⋊Q₈ → C₂ ⊆ Aut C₅	160		C5:5(D4:6D4)	320,1303
C₅⋊₆(D₄⋊₆D₄) = C₁₀.₈₂2_-¹⁺⁴	φ: D₄⋊₆D₄/C₂².D₄ → C₂ ⊆ Aut C₅	160		C5:6(D4:6D4)	320,1327
C₅⋊₇(D₄⋊₆D₄) = D₂₀⋊₁₂D₄	φ: D₄⋊₆D₄/C₄⋊Q₈ → C₂ ⊆ Aut C₅	160		C5:7(D4:6D4)	320,1398
C₅⋊₈(D₄⋊₆D₄) = C₁₀.₁₀₄2_-¹⁺⁴	φ: D₄⋊₆D₄/C₂×C₄○D₄ → C₂ ⊆ Aut C₅	160		C5:8(D4:6D4)	320,1496

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