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

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

		d	ρ	Label	ID
C₁₀×C₅⋊C₈		80		C10xC5:C8	400,139

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊₁(C₅⋊C₈) = C₂×C₅²⋊₄C₈	φ: C₅⋊C₈/C₁₀ → C₄ ⊆ Aut C₁₀	400		C10:1(C5:C8)	400,153
C₁₀⋊₂(C₅⋊C₈) = C₂×C₅²⋊₅C₈	φ: C₅⋊C₈/C₁₀ → C₄ ⊆ Aut C₁₀	80		C10:2(C5:C8)	400,160
C₁₀⋊₃(C₅⋊C₈) = C₂×C₅²⋊₃C₈	φ: C₅⋊C₈/Dic₅ → C₂ ⊆ Aut C₁₀	80		C10:3(C5:C8)	400,146

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁(C₅⋊C₈) = C₂₅⋊C₁₆	φ: C₅⋊C₈/C₁₀ → C₄ ⊆ Aut C₁₀	400	4	C10.1(C5:C8)	400,3
C₁₀.₂(C₅⋊C₈) = C₂×C₂₅⋊C₈	φ: C₅⋊C₈/C₁₀ → C₄ ⊆ Aut C₁₀	400		C10.2(C5:C8)	400,32
C₁₀.₃(C₅⋊C₈) = C₅²⋊₄C₁₆	φ: C₅⋊C₈/C₁₀ → C₄ ⊆ Aut C₁₀	400		C10.3(C5:C8)	400,58
C₁₀.₄(C₅⋊C₈) = C₅²⋊₅C₁₆	φ: C₅⋊C₈/C₁₀ → C₄ ⊆ Aut C₁₀	80	4	C10.4(C5:C8)	400,59
C₁₀.₅(C₅⋊C₈) = C₅²⋊₃C₁₆	φ: C₅⋊C₈/Dic₅ → C₂ ⊆ Aut C₁₀	80	4	C10.5(C5:C8)	400,57
C₁₀.₆(C₅⋊C₈) = C₅×C₅⋊C₁₆	central extension (φ=1)	80	4	C10.6(C5:C8)	400,56

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