Extensions 1→N→G→Q→1 with N=Dic₅.A₄ and Q=C₂

Direct product G=N×Q with N=Dic₅.A₄ and Q=C₂

		d	ρ	Label	ID
C₂×Dic₅.A₄		160		C2xDic5.A4	480,1038

Semidirect products G=N:Q with N=Dic₅.A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅.A₄⋊₁C₂ = Dic₅.₆S₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₅.A₄	80	4	Dic5.A4:1C2	480,968
Dic₅.A₄⋊₂C₂ = Dic₅.₇S₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₅.A₄	80	4+	Dic5.A4:2C2	480,969
Dic₅.A₄⋊₃C₂ = GL₂(𝔽₃)⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₅.A₄	80	4+	Dic5.A4:3C2	480,970
Dic₅.A₄⋊₄C₂ = SL₂(𝔽₃).₁₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅.A₄	80	4	Dic5.A4:4C2	480,1040
Dic₅.A₄⋊₅C₂ = Dic₁₀.A₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₅.A₄	120	4+	Dic5.A4:5C2	480,1041
Dic₅.A₄⋊₆C₂ = D₅×C₄.A₄	φ: trivial image	80	4	Dic5.A4:6C2	480,1042

Non-split extensions G=N.Q with N=Dic₅.A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅.A₄.₁C₂ = CSU₂(𝔽₃)⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₅.A₄	160	4	Dic5.A4.1C2	480,967
Dic₅.A₄.₂C₂ = C₅⋊U₂(𝔽₃)	φ: C₂/C₁ → C₂ ⊆ Out Dic₅.A₄	120	8+	Dic5.A4.2C2	480,961
Dic₅.A₄.₃C₂ = SL₂(𝔽₃).F₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₅.A₄	160	8+	Dic5.A4.3C2	480,964

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁