Extensions 1→N→G→Q→1 with N=C₅ and Q=C₈.Q₈

Direct product G=N×Q with N=C₅ and Q=C₈.Q₈

		d	ρ	Label	ID
C₅×C₈.Q₈		80	4	C5xC8.Q8	320,170

Semidirect products G=N:Q with N=C₅ and Q=C₈.Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₈.Q₈) = C₈₀⋊₄C₄	φ: C₈.Q₈/C₁₆ → C₄ ⊆ Aut C₅	80	4	C5:1(C8.Q8)	320,185
C₅⋊₂(C₈.Q₈) = C₈₀⋊₅C₄	φ: C₈.Q₈/C₁₆ → C₄ ⊆ Aut C₅	80	4	C5:2(C8.Q8)	320,186
C₅⋊₃(C₈.Q₈) = C₈.Dic₁₀	φ: C₈.Q₈/C₄.Q₈ → C₂ ⊆ Aut C₅	80	4	C5:3(C8.Q8)	320,45
C₅⋊₄(C₈.Q₈) = C₄₀.₆Q₈	φ: C₈.Q₈/C₈.C₄ → C₂ ⊆ Aut C₅	80	4	C5:4(C8.Q8)	320,52
C₅⋊₅(C₈.Q₈) = C₄₀.Q₈	φ: C₈.Q₈/M₅(2) → C₂ ⊆ Aut C₅	80	4	C5:5(C8.Q8)	320,71

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