Extensions 1→N→G→Q→1 with N=C₅ and Q=D₄⋊₅D₄

Direct product G=N×Q with N=C₅ and Q=D₄⋊₅D₄

		d	ρ	Label	ID
C₅×D₄⋊₅D₄		80		C5xD4:5D4	320,1548

Semidirect products G=N:Q with N=C₅ and Q=D₄⋊₅D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₄⋊₅D₄) = C₂⁴.₂₇D₁₀	φ: D₄⋊₅D₄/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₅	80		C5:1(D4:5D4)	320,1162
C₅⋊₂(D₄⋊₅D₄) = D₂₀⋊₂₃D₄	φ: D₄⋊₅D₄/C₄×D₄ → C₂ ⊆ Aut C₅	80		C5:2(D4:5D4)	320,1222
C₅⋊₃(D₄⋊₅D₄) = D₄⋊₅D₂₀	φ: D₄⋊₅D₄/C₄×D₄ → C₂ ⊆ Aut C₅	80		C5:3(D4:5D4)	320,1226
C₅⋊₄(D₄⋊₅D₄) = C₂⁴.₃₃D₁₀	φ: D₄⋊₅D₄/C₂²≀C₂ → C₂ ⊆ Aut C₅	80		C5:4(D4:5D4)	320,1263
C₅⋊₅(D₄⋊₅D₄) = C₁₀.₄₀2₊¹⁺⁴	φ: D₄⋊₅D₄/C₄⋊D₄ → C₂ ⊆ Aut C₅	80		C5:5(D4:5D4)	320,1282
C₅⋊₆(D₄⋊₅D₄) = D₂₀⋊₂₀D₄	φ: D₄⋊₅D₄/C₄⋊D₄ → C₂ ⊆ Aut C₅	80		C5:6(D4:5D4)	320,1284
C₅⋊₇(D₄⋊₅D₄) = D₂₀⋊₂₁D₄	φ: D₄⋊₅D₄/C₂²⋊Q₈ → C₂ ⊆ Aut C₅	80		C5:7(D4:5D4)	320,1302
C₅⋊₈(D₄⋊₅D₄) = C₁₀.₁₂₁2₊¹⁺⁴	φ: D₄⋊₅D₄/C₂².D₄ → C₂ ⊆ Aut C₅	80		C5:8(D4:5D4)	320,1326
C₅⋊₉(D₄⋊₅D₄) = D₂₀⋊₁₀D₄	φ: D₄⋊₅D₄/C₄.₄D₄ → C₂ ⊆ Aut C₅	80		C5:9(D4:5D4)	320,1348
C₅⋊₁₀(D₄⋊₅D₄) = C₂⁴.₄₂D₁₀	φ: D₄⋊₅D₄/C₂²×D₄ → C₂ ⊆ Aut C₅	80		C5:10(D4:5D4)	320,1478
C₅⋊₁₁(D₄⋊₅D₄) = C₁₀.₁₄₅2₊¹⁺⁴	φ: D₄⋊₅D₄/C₂×C₄○D₄ → C₂ ⊆ Aut C₅	80		C5:11(D4:5D4)	320,1501

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