Extensions 1→N→G→Q→1 with N=C₈ and Q=C₅⋊₂C₈

Direct product G=N×Q with N=C₈ and Q=C₅⋊₂C₈

		d	ρ	Label	ID
C₈×C₅⋊₂C₈		320		C8xC5:2C8	320,11

Semidirect products G=N:Q with N=C₈ and Q=C₅⋊₂C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁(C₅⋊₂C₈) = C₄₀⋊₅C₈	φ: C₅⋊₂C₈/C₂₀ → C₂ ⊆ Aut C₈	320		C8:1(C5:2C8)	320,16
C₈⋊₂(C₅⋊₂C₈) = C₄₀⋊₆C₈	φ: C₅⋊₂C₈/C₂₀ → C₂ ⊆ Aut C₈	320		C8:2(C5:2C8)	320,15
C₈⋊₃(C₅⋊₂C₈) = C₄₀⋊₈C₈	φ: C₅⋊₂C₈/C₂₀ → C₂ ⊆ Aut C₈	320		C8:3(C5:2C8)	320,13

Non-split extensions G=N.Q with N=C₈ and Q=C₅⋊₂C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁(C₅⋊₂C₈) = C₄₀.₇C₈	φ: C₅⋊₂C₈/C₂₀ → C₂ ⊆ Aut C₈	80	2	C8.1(C5:2C8)	320,21
C₈.₂(C₅⋊₂C₈) = C₄₀.₁₀C₈	φ: C₅⋊₂C₈/C₂₀ → C₂ ⊆ Aut C₈	320		C8.2(C5:2C8)	320,19
C₈.₃(C₅⋊₂C₈) = C₈₀.₉C₄	φ: C₅⋊₂C₈/C₂₀ → C₂ ⊆ Aut C₈	160	2	C8.3(C5:2C8)	320,57
C₈.₄(C₅⋊₂C₈) = C₅⋊₂C₆₄	central extension (φ=1)	320	2	C8.4(C5:2C8)	320,1
C₈.₅(C₅⋊₂C₈) = C₄×C₅⋊₂C₁₆	central extension (φ=1)	320		C8.5(C5:2C8)	320,18
C₈.₆(C₅⋊₂C₈) = C₂×C₅⋊₂C₃₂	central extension (φ=1)	320		C8.6(C5:2C8)	320,56

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