Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄⋊D₄

Direct product G=N×Q with N=C₅ and Q=C₄⋊D₄

		d	ρ	Label	ID
C₅×C₄⋊D₄		80		C5xC4:D4	160,182

Semidirect products G=N:Q with N=C₅ and Q=C₄⋊D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄⋊D₄) = D₁₀⋊D₄	φ: C₄⋊D₄/C₂²⋊C₄ → C₂ ⊆ Aut C₅	80		C5:1(C4:D4)	160,105
C₅⋊₂(C₄⋊D₄) = C₄⋊D₂₀	φ: C₄⋊D₄/C₄⋊C₄ → C₂ ⊆ Aut C₅	80		C5:2(C4:D4)	160,116
C₅⋊₃(C₄⋊D₄) = C₂₀⋊₇D₄	φ: C₄⋊D₄/C₂²×C₄ → C₂ ⊆ Aut C₅	80		C5:3(C4:D4)	160,151
C₅⋊₄(C₄⋊D₄) = C₂₀⋊₂D₄	φ: C₄⋊D₄/C₂×D₄ → C₂ ⊆ Aut C₅	80		C5:4(C4:D4)	160,159
C₅⋊₅(C₄⋊D₄) = Dic₅⋊D₄	φ: C₄⋊D₄/C₂×D₄ → C₂ ⊆ Aut C₅	80		C5:5(C4:D4)	160,160

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