Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₅:₂C₈

Direct product G=NxQ with N=C₁₀ and Q=C₅:₂C₈

		d	ρ	Label	ID
C₁₀xC₅:₂C₈		80		C10xC5:2C8	400,81

Semidirect products G=N:Q with N=C₁₀ and Q=C₅:₂C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀:(C₅:₂C₈) = C₂xC₅²:₃C₈	φ: C₅:₂C₈/C₁₀ → C₄ ⊆ Aut C₁₀	80		C10:(C5:2C8)	400,146
C₁₀:₂(C₅:₂C₈) = C₂xC₅²:₇C₈	φ: C₅:₂C₈/C₂₀ → C₂ ⊆ Aut C₁₀	400		C10:2(C5:2C8)	400,97

Non-split extensions G=N.Q with N=C₁₀ and Q=C₅:₂C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.(C₅:₂C₈) = C₅²:₃C₁₆	φ: C₅:₂C₈/C₁₀ → C₄ ⊆ Aut C₁₀	80	4	C10.(C5:2C8)	400,57
C₁₀.₂(C₅:₂C₈) = C₂₅:₂C₁₆	φ: C₅:₂C₈/C₂₀ → C₂ ⊆ Aut C₁₀	400	2	C10.2(C5:2C8)	400,1
C₁₀.₃(C₅:₂C₈) = C₂xC₂₅:₂C₈	φ: C₅:₂C₈/C₂₀ → C₂ ⊆ Aut C₁₀	400		C10.3(C5:2C8)	400,9
C₁₀.₄(C₅:₂C₈) = C₅²:₇C₁₆	φ: C₅:₂C₈/C₂₀ → C₂ ⊆ Aut C₁₀	400		C10.4(C5:2C8)	400,50
C₁₀.₅(C₅:₂C₈) = C₅xC₅:₂C₁₆	central extension (φ=1)	80	2	C10.5(C5:2C8)	400,49

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