Extensions 1→N→G→Q→1 with N=C₅ and Q=C₈○D₄

Direct product G=N×Q with N=C₅ and Q=C₈○D₄

		d	ρ	Label	ID
C₅×C₈○D₄		80	2	C5xC8oD4	160,192

Semidirect products G=N:Q with N=C₅ and Q=C₈○D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₈○D₄) = D₄.F₅	φ: C₈○D₄/D₄ → C₄ ⊆ Aut C₅	80	8-	C5:1(C8oD4)	160,206
C₅⋊₂(C₈○D₄) = Q₈.F₅	φ: C₈○D₄/Q₈ → C₄ ⊆ Aut C₅	80	8+	C5:2(C8oD4)	160,208
C₅⋊₃(C₈○D₄) = D₂₀.₃C₄	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₅	80	2	C5:3(C8oD4)	160,122
C₅⋊₄(C₈○D₄) = D₂₀.₂C₄	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₅	80	4	C5:4(C8oD4)	160,128
C₅⋊₅(C₈○D₄) = D₄.Dic₅	φ: C₈○D₄/C₄○D₄ → C₂ ⊆ Aut C₅	80	4	C5:5(C8oD4)	160,169

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