Extensions 1→N→G→Q→1 with N=C₅ and Q=C₈.₄Q₈

Direct product G=N×Q with N=C₅ and Q=C₈.₄Q₈

		d	ρ	Label	ID
C₅×C₈.₄Q₈		160	2	C5xC8.4Q8	320,173

Semidirect products G=N:Q with N=C₅ and Q=C₈.₄Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₈.₄Q₈) = C₁₆.F₅	φ: C₈.₄Q₈/C₁₆ → C₄ ⊆ Aut C₅	160	4	C5:1(C8.4Q8)	320,189
C₅⋊₂(C₈.₄Q₈) = C₈₀.₂C₄	φ: C₈.₄Q₈/C₁₆ → C₄ ⊆ Aut C₅	160	4	C5:2(C8.4Q8)	320,190
C₅⋊₃(C₈.₄Q₈) = C₄₀.₇Q₈	φ: C₈.₄Q₈/C₈.C₄ → C₂ ⊆ Aut C₅	160	4	C5:3(C8.4Q8)	320,51
C₅⋊₄(C₈.₄Q₈) = C₈₀.₆C₄	φ: C₈.₄Q₈/C₂×C₁₆ → C₂ ⊆ Aut C₅	160	2	C5:4(C8.4Q8)	320,64

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