Extensions 1→N→G→Q→1 with N=Dic₅⋊C₈ and Q=C₂

Direct product G=N×Q with N=Dic₅⋊C₈ and Q=C₂

		d	ρ	Label	ID
C₂×Dic₅⋊C₈		320		C2xDic5:C8	320,1090

Semidirect products G=N:Q with N=Dic₅⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅⋊C₈⋊₁C₂ = Dic₅.SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊C₈	160		Dic5:C8:1C2	320,263
Dic₅⋊C₈⋊₂C₂ = D₁₀⋊₂M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊C₈	160		Dic5:C8:2C2	320,1042
Dic₅⋊C₈⋊₃C₂ = C₅⋊C₈⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊C₈	160		Dic5:C8:3C2	320,1111
Dic₅⋊C₈⋊₄C₂ = C₄².₁₄F₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊C₈	160		Dic5:C8:4C2	320,1020
Dic₅⋊C₈⋊₅C₂ = C₄².₇F₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊C₈	160		Dic5:C8:5C2	320,1022
Dic₅⋊C₈⋊₆C₂ = Dic₅.₁₃M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊C₈	160		Dic5:C8:6C2	320,1095
Dic₅⋊C₈⋊₇C₂ = C₂₀⋊₈M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊C₈	160		Dic5:C8:7C2	320,1096
Dic₅⋊C₈⋊₈C₂ = C₂₀⋊C₈⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊C₈	160		Dic5:C8:8C2	320,1034
Dic₅⋊C₈⋊₉C₂ = C₂³.(C₂×F₅)	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊C₈	160		Dic5:C8:9C2	320,1035
Dic₅⋊C₈⋊₁₀C₂ = C₄⋊C₄.₇F₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊C₈	160		Dic5:C8:10C2	320,1044
Dic₅⋊C₈⋊₁₁C₂ = C₄⋊C₄.₉F₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊C₈	160		Dic5:C8:11C2	320,1046
Dic₅⋊C₈⋊₁₂C₂ = C₅⋊C₈⋊₈D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊C₈	160		Dic5:C8:12C2	320,1030
Dic₅⋊C₈⋊₁₃C₂ = Dic₅⋊M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊C₈	160		Dic5:C8:13C2	320,1033
Dic₅⋊C₈⋊₁₄C₂ = C₄².₆F₅	φ: trivial image	160		Dic5:C8:14C2	320,1016
Dic₅⋊C₈⋊₁₅C₂ = C₄².₁₁F₅	φ: trivial image	160		Dic5:C8:15C2	320,1017
Dic₅⋊C₈⋊₁₆C₂ = C₂₀.₃₄M₄(2)	φ: trivial image	160		Dic5:C8:16C2	320,1092

Non-split extensions G=N.Q with N=Dic₅⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅⋊C₈.₁C₂ = Dic₅.D₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊C₈	320		Dic5:C8.1C2	320,211
Dic₅⋊C₈.₂C₂ = Dic₅.Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊C₈	320		Dic5:C8.2C2	320,269
Dic₅⋊C₈.₃C₂ = C₂₀.₆M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊C₈	320		Dic5:C8.3C2	320,1126
Dic₅⋊C₈.₄C₂ = Dic₁₀⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊C₈	320		Dic5:C8.4C2	320,1041
Dic₅⋊C₈.₅C₂ = Dic₅.M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊C₈	320		Dic5:C8.5C2	320,1045

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁