Extensions 1→N→G→Q→1 with N=C₈ and Q=C₅:C₈

Direct product G=NxQ with N=C₈ and Q=C₅:C₈

		d	ρ	Label	ID
C₈xC₅:C₈		320		C8xC5:C8	320,216

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈:₁(C₅:C₈) = C₄₀:₁C₈	φ: C₅:C₈/Dic₅ → C₂ ⊆ Aut C₈	320		C8:1(C5:C8)	320,220
C₈:₂(C₅:C₈) = C₄₀:₂C₈	φ: C₅:C₈/Dic₅ → C₂ ⊆ Aut C₈	320		C8:2(C5:C8)	320,219
C₈:₃(C₅:C₈) = C₄₀:C₈	φ: C₅:C₈/Dic₅ → C₂ ⊆ Aut C₈	320		C8:3(C5:C8)	320,217

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁(C₅:C₈) = C₄₀.₁C₈	φ: C₅:C₈/Dic₅ → C₂ ⊆ Aut C₈	80	4	C8.1(C5:C8)	320,227
C₈.₂(C₅:C₈) = C₅:M₆(2)	φ: C₅:C₈/Dic₅ → C₂ ⊆ Aut C₈	160	4	C8.2(C5:C8)	320,215
C₈.₃(C₅:C₈) = C₄₀.C₈	φ: C₅:C₈/Dic₅ → C₂ ⊆ Aut C₈	320		C8.3(C5:C8)	320,224
C₈.₄(C₅:C₈) = C₅:C₆₄	central extension (φ=1)	320	4	C8.4(C5:C8)	320,3
C₈.₅(C₅:C₈) = C₂xC₅:C₃₂	central extension (φ=1)	320		C8.5(C5:C8)	320,214
C₈.₆(C₅:C₈) = Dic₅:C₁₆	central extension (φ=1)	320		C8.6(C5:C8)	320,223

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