Extensions 1→N→G→Q→1 with N=D₁₀⋊C₈ and Q=C₂

Direct product G=N×Q with N=D₁₀⋊C₈ and Q=C₂

		d	ρ	Label	ID
C₂×D₁₀⋊C₈		160		C2xD10:C8	320,1089

Semidirect products G=N:Q with N=D₁₀⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀⋊C₈⋊₁C₂ = D₁₀.₁D₈	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊C₈	80		D10:C8:1C2	320,206
D₁₀⋊C₈⋊₂C₂ = D₁₀.SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊C₈	80		D10:C8:2C2	320,258
D₁₀⋊C₈⋊₃C₂ = (C₂×D₄).₇F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊C₈	160		D10:C8:3C2	320,1113
D₁₀⋊C₈⋊₄C₂ = (C₂×Q₈).₅F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊C₈	160		D10:C8:4C2	320,1125
D₁₀⋊C₈⋊₅C₂ = D₁₀⋊₉M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊C₈	80		D10:C8:5C2	320,1093
D₁₀⋊C₈⋊₆C₂ = D₁₀⋊₁₀M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊C₈	80		D10:C8:6C2	320,1094
D₁₀⋊C₈⋊₇C₂ = C₅⋊C₈⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊C₈	160		D10:C8:7C2	320,1031
D₁₀⋊C₈⋊₈C₂ = Dic₅⋊M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊C₈	160		D10:C8:8C2	320,1033
D₁₀⋊C₈⋊₉C₂ = D₁₀⋊₂M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊C₈	160		D10:C8:9C2	320,1042
D₁₀⋊C₈⋊₁₀C₂ = C₂₀⋊M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊C₈	160		D10:C8:10C2	320,1043
D₁₀⋊C₈⋊₁₁C₂ = C₅⋊C₈⋊₈D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊C₈	160		D10:C8:11C2	320,1030
D₁₀⋊C₈⋊₁₂C₂ = D₁₀⋊M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊C₈	160		D10:C8:12C2	320,1032
D₁₀⋊C₈⋊₁₃C₂ = D₂₀⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊C₈	160		D10:C8:13C2	320,1040
D₁₀⋊C₈⋊₁₄C₂ = D₁₀.₁₁M₄(2)	φ: trivial image	80		D10:C8:14C2	320,1091

Non-split extensions G=N.Q with N=D₁₀⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀⋊C₈.₁C₂ = D₁₀.₁Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊C₈	80		D10:C8.1C2	320,207
D₁₀⋊C₈.₂C₂ = D₁₀.Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊C₈	80		D10:C8.2C2	320,264
D₁₀⋊C₈.₃C₂ = C₄⋊C₄.₇F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊C₈	160		D10:C8.3C2	320,1044
D₁₀⋊C₈.₄C₂ = C₄².₁₅F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊C₈	160		D10:C8.4C2	320,1021
D₁₀⋊C₈.₅C₂ = C₄².₇F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀⋊C₈	160		D10:C8.5C2	320,1022
D₁₀⋊C₈.₆C₂ = C₄².₆F₅	φ: trivial image	160		D10:C8.6C2	320,1016
D₁₀⋊C₈.₇C₂ = C₄².₁₂F₅	φ: trivial image	160		D10:C8.7C2	320,1018

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁