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		320		C2xC20:C8	320,1085

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		C20:C8:1C2	320,209
C₂₀⋊C₈⋊₂C₂ = Dic₅.₂₃D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊C₈	160		C20:C8:2C2	320,262
C₂₀⋊C₈⋊₃C₂ = D₂₀⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊C₈	160		C20:C8:3C2	320,1040
C₂₀⋊C₈⋊₄C₂ = C₂₀⋊M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊C₈	160		C20:C8:4C2	320,1043
C₂₀⋊C₈⋊₅C₂ = D₄×C₅⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊C₈	160		C20:C8:5C2	320,1110
C₂₀⋊C₈⋊₆C₂ = C₂₀⋊₂M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊C₈	160		C20:C8:6C2	320,1112
C₂₀⋊C₈⋊₇C₂ = C₂₀⋊₃M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊C₈	160		C20:C8:7C2	320,1019
C₂₀⋊C₈⋊₈C₂ = C₄².₁₅F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊C₈	160		C20:C8:8C2	320,1021
C₂₀⋊C₈⋊₉C₂ = C₅⋊C₈⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊C₈	160		C20:C8:9C2	320,1031
C₂₀⋊C₈⋊₁₀C₂ = D₁₀⋊M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊C₈	160		C20:C8:10C2	320,1032
C₂₀⋊C₈⋊₁₁C₂ = C₂₀⋊C₈⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊C₈	160		C20:C8:11C2	320,1034
C₂₀⋊C₈⋊₁₂C₂ = C₂³.(C₂×F₅)	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊C₈	160		C20:C8:12C2	320,1035
C₂₀⋊C₈⋊₁₃C₂ = C₄⋊C₄.₇F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊C₈	160		C20:C8:13C2	320,1044
C₂₀⋊C₈⋊₁₄C₂ = C₄⋊C₄.₉F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊C₈	160		C20:C8:14C2	320,1046
C₂₀⋊C₈⋊₁₅C₂ = C₂₀⋊₈M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊C₈	160		C20:C8:15C2	320,1096
C₂₀⋊C₈⋊₁₆C₂ = C₂₀.₃₀M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊C₈	160		C20:C8:16C2	320,1097
C₂₀⋊C₈⋊₁₇C₂ = C₄².₁₁F₅	φ: trivial image	160		C20:C8:17C2	320,1017
C₂₀⋊C₈⋊₁₈C₂ = C₄².₁₂F₅	φ: trivial image	160		C20:C8:18C2	320,1018
C₂₀⋊C₈⋊₁₉C₂ = Dic₅.₁₂M₄(2)	φ: trivial image	160		C20:C8:19C2	320,1086

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 = Dic₁₀⋊₁C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊C₈	320		C20:C8.1C2	320,210
C₂₀⋊C₈.₂C₂ = Dic₅.₁₂Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊C₈	320		C20:C8.2C2	320,268
C₂₀⋊C₈.₃C₂ = Dic₁₀⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊C₈	320		C20:C8.3C2	320,1041
C₂₀⋊C₈.₄C₂ = C₂₀.M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊C₈	320		C20:C8.4C2	320,1047
C₂₀⋊C₈.₅C₂ = Q₈×C₅⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊C₈	320		C20:C8.5C2	320,1124
C₂₀⋊C₈.₆C₂ = C₂₀.₆M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊C₈	320		C20:C8.6C2	320,1126
C₂₀⋊C₈.₇C₂ = C₄₀⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊C₈	320		C20:C8.7C2	320,219
C₂₀⋊C₈.₈C₂ = C₄₀⋊₁C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊C₈	320		C20:C8.8C2	320,220
C₂₀⋊C₈.₉C₂ = C₂₀.₂₆M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊C₈	320		C20:C8.9C2	320,221
C₂₀⋊C₈.₁₀C₂ = Dic₅.₁₃D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊C₈	320		C20:C8.10C2	320,222
C₂₀⋊C₈.₁₁C₂ = Dic₅.M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊C₈	320		C20:C8.11C2	320,1045

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