Extensions 1→N→G→Q→1 with N=C₂₀ and Q=C₈

Direct product G=N×Q with N=C₂₀ and Q=C₈

		d	ρ	Label	ID
C₄×C₄₀		160		C4xC40	160,46

Semidirect products G=N:Q with N=C₂₀ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀⋊₁C₈ = C₂₀⋊C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₂₀	160		C20:1C8	160,76
C₂₀⋊₂C₈ = C₄×C₅⋊C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₂₀	160		C20:2C8	160,75
C₂₀⋊₃C₈ = C₂₀⋊₃C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂₀	160		C20:3C8	160,11
C₂₀⋊₄C₈ = C₄×C₅⋊₂C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂₀	160		C20:4C8	160,9
C₂₀⋊₅C₈ = C₅×C₄⋊C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂₀	160		C20:5C8	160,55

Non-split extensions G=N.Q with N=C₂₀ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀.₁C₈ = C₂₀.C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₂₀	80	4	C20.1C8	160,73
C₂₀.₂C₈ = C₅⋊C₃₂	φ: C₈/C₂ → C₄ ⊆ Aut C₂₀	160	4	C20.2C8	160,3
C₂₀.₃C₈ = C₂×C₅⋊C₁₆	φ: C₈/C₂ → C₄ ⊆ Aut C₂₀	160		C20.3C8	160,72
C₂₀.₄C₈ = C₂₀.₄C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂₀	80	2	C20.4C8	160,19
C₂₀.₅C₈ = C₅⋊₂C₃₂	φ: C₈/C₄ → C₂ ⊆ Aut C₂₀	160	2	C20.5C8	160,1
C₂₀.₆C₈ = C₂×C₅⋊₂C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₂₀	160		C20.6C8	160,18
C₂₀.₇C₈ = C₅×M₅(2)	φ: C₈/C₄ → C₂ ⊆ Aut C₂₀	80	2	C20.7C8	160,60

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