Extensions 1→N→G→Q→1 with N=C₅ and Q=C₈○D₈

Direct product G=N×Q with N=C₅ and Q=C₈○D₈

		d	ρ	Label	ID
C₅×C₈○D₈		80	2	C5xC8oD8	320,944

Semidirect products G=N:Q with N=C₅ and Q=C₈○D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₈○D₈) = D₈⋊₅F₅	φ: C₈○D₈/D₈ → C₄ ⊆ Aut C₅	80	8-	C5:1(C8oD8)	320,1070
C₅⋊₂(C₈○D₈) = SD₁₆⋊₃F₅	φ: C₈○D₈/SD₁₆ → C₄ ⊆ Aut C₅	80	8	C5:2(C8oD8)	320,1074
C₅⋊₃(C₈○D₈) = Q₁₆⋊₅F₅	φ: C₈○D₈/Q₁₆ → C₄ ⊆ Aut C₅	80	8+	C5:3(C8oD8)	320,1078
C₅⋊₄(C₈○D₈) = D₄₀⋊₁₇C₄	φ: C₈○D₈/C₄×C₈ → C₂ ⊆ Aut C₅	80	2	C5:4(C8oD8)	320,327
C₅⋊₅(C₈○D₈) = C₄².₁₉₆D₁₀	φ: C₈○D₈/C₄≀C₂ → C₂ ⊆ Aut C₅	80	4	C5:5(C8oD8)	320,451
C₅⋊₆(C₈○D₈) = D₄₀⋊₁₃C₄	φ: C₈○D₈/C₈.C₄ → C₂ ⊆ Aut C₅	80	4	C5:6(C8oD8)	320,522
C₅⋊₇(C₈○D₈) = C₄₀.₉₃D₄	φ: C₈○D₈/C₈○D₄ → C₂ ⊆ Aut C₅	80	4	C5:7(C8oD8)	320,771
C₅⋊₈(C₈○D₈) = D₈⋊₅Dic₅	φ: C₈○D₈/C₄○D₈ → C₂ ⊆ Aut C₅	80	4	C5:8(C8oD8)	320,823

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