Extensions 1→N→G→Q→1 with N=C₂₀.C₈ and Q=C₂

Direct product G=N×Q with N=C₂₀.C₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₂₀.C₈		160		C2xC20.C8	320,1081

Semidirect products G=N:Q with N=C₂₀.C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₀.C₈⋊₁C₂ = D₂₀.C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.C₈	160	8	C20.C8:1C2	320,236
C₂₀.C₈⋊₂C₂ = D₄.(C₅⋊C₈)	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.C₈	160	8	C20.C8:2C2	320,270
C₂₀.C₈⋊₃C₂ = Dic₁₀.C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.C₈	160	8	C20.C8:3C2	320,1063
C₂₀.C₈⋊₄C₂ = C₅⋊C₁₆.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.C₈	160	8	C20.C8:4C2	320,1129
C₂₀.C₈⋊₅C₂ = C₂₀.₁₀M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.C₈	80	4	C20.C8:5C2	320,229
C₂₀.C₈⋊₆C₂ = C₂₀.₂₉M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.C₈	80	4	C20.C8:6C2	320,250
C₂₀.C₈⋊₇C₂ = D₅⋊M₅(2)	φ: trivial image	80	4	C20.C8:7C2	320,1053

Non-split extensions G=N.Q with N=C₂₀.C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₀.C₈.₁C₂ = C₄².₃F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.C₈	80	4	C20.C8.1C2	320,198
C₂₀.C₈.₂C₂ = C₄².₉F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.C₈	80	4	C20.C8.2C2	320,199
C₂₀.C₈.₃C₂ = C₄₀.₁C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.C₈	80	4	C20.C8.3C2	320,227
C₂₀.C₈.₄C₂ = C₂₀.₂₃C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.C₈	80	4	C20.C8.4C2	320,228

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