Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂³⋊₃D₄

Direct product G=N×Q with N=C₅ and Q=C₂³⋊₃D₄

		d	ρ	Label	ID
C₅×C₂³⋊₃D₄		80		C5xC2^3:3D4	320,1536

Semidirect products G=N:Q with N=C₅ and Q=C₂³⋊₃D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂³⋊₃D₄) = C₂³⋊₃D₂₀	φ: C₂³⋊₃D₄/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₅	80		C5:1(C2^3:3D4)	320,1165
C₅⋊₂(C₂³⋊₃D₄) = C₂⁴⋊₃D₁₀	φ: C₂³⋊₃D₄/C₂²≀C₂ → C₂ ⊆ Aut C₅	80		C5:2(C2^3:3D4)	320,1261
C₅⋊₃(C₂³⋊₃D₄) = C₁₀.₃₇2₊¹⁺⁴	φ: C₂³⋊₃D₄/C₄⋊D₄ → C₂ ⊆ Aut C₅	80		C5:3(C2^3:3D4)	320,1277
C₅⋊₄(C₂³⋊₃D₄) = C₁₀.₁₂₀2₊¹⁺⁴	φ: C₂³⋊₃D₄/C₂².D₄ → C₂ ⊆ Aut C₅	80		C5:4(C2^3:3D4)	320,1325
C₅⋊₅(C₂³⋊₃D₄) = C₂⁴⋊₈D₁₀	φ: C₂³⋊₃D₄/C₂²×D₄ → C₂ ⊆ Aut C₅	80		C5:5(C2^3:3D4)	320,1476

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