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

Direct product G=N×Q with N=C₁₀ and Q=C₅⋊₂C₈

		d	ρ	Label	ID
C₁₀×C₅⋊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) = C₂×C₅²⋊₃C₈	φ: C₅⋊₂C₈/C₁₀ → C₄ ⊆ Aut C₁₀	80		C10:(C5:2C8)	400,146
C₁₀⋊₂(C₅⋊₂C₈) = C₂×C₅²⋊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) = C₂×C₂₅⋊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) = C₅×C₅⋊₂C₁₆	central extension (φ=1)	80	2	C10.5(C5:2C8)	400,49

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