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

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

		d	ρ	Label	ID
Q₈×C₄₀		320		Q8xC40	320,946

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊(C₅×Q₈) = C₅×C₈⋊Q₈	φ: C₅×Q₈/C₁₀ → C₂² ⊆ Aut C₈	320		C8:(C5xQ8)	320,1002
C₈⋊₂(C₅×Q₈) = C₅×C₈⋊₂Q₈	φ: C₅×Q₈/C₂₀ → C₂ ⊆ Aut C₈	320		C8:2(C5xQ8)	320,1001
C₈⋊₃(C₅×Q₈) = C₅×C₈⋊₃Q₈	φ: C₅×Q₈/C₂₀ → C₂ ⊆ Aut C₈	320		C8:3(C5xQ8)	320,999
C₈⋊₄(C₅×Q₈) = C₅×C₈⋊₄Q₈	φ: C₅×Q₈/C₂₀ → C₂ ⊆ Aut C₈	320		C8:4(C5xQ8)	320,947

Non-split extensions G=N.Q with N=C₈ and Q=C₅×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.(C₅×Q₈) = C₅×C₈.Q₈	φ: C₅×Q₈/C₁₀ → C₂² ⊆ Aut C₈	80	4	C8.(C5xQ8)	320,170
C₈.₂(C₅×Q₈) = C₅×C₁₆⋊₃C₄	φ: C₅×Q₈/C₂₀ → C₂ ⊆ Aut C₈	320		C8.2(C5xQ8)	320,171
C₈.₃(C₅×Q₈) = C₅×C₁₆⋊₄C₄	φ: C₅×Q₈/C₂₀ → C₂ ⊆ Aut C₈	320		C8.3(C5xQ8)	320,172
C₈.₄(C₅×Q₈) = C₅×C₈.₅Q₈	φ: C₅×Q₈/C₂₀ → C₂ ⊆ Aut C₈	320		C8.4(C5xQ8)	320,1000
C₈.₅(C₅×Q₈) = C₅×C₈.₄Q₈	φ: C₅×Q₈/C₂₀ → C₂ ⊆ Aut C₈	160	2	C8.5(C5xQ8)	320,173
C₈.₆(C₅×Q₈) = C₅×C₈.C₈	φ: C₅×Q₈/C₂₀ → C₂ ⊆ Aut C₈	80	2	C8.6(C5xQ8)	320,169
C₈.₇(C₅×Q₈) = C₅×C₄⋊C₁₆	central extension (φ=1)	320		C8.7(C5xQ8)	320,168

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