Extensions 1→N→G→Q→1 with N=D₆.Dic₅ and Q=C₂

Direct product G=N×Q with N=D₆.Dic₅ and Q=C₂

		d	ρ	Label	ID
C₂×D₆.Dic₅		240		C2xD6.Dic5	480,370

Semidirect products G=N:Q with N=D₆.Dic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.Dic₅⋊₁C₂ = D₆₀.C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₆.Dic₅	120	8+	D6.Dic5:1C2	480,556
D₆.Dic₅⋊₂C₂ = C₆₀.₁₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₆.Dic₅	240	8-	D6.Dic5:2C2	480,562
D₆.Dic₅⋊₃C₂ = D₂₀⋊₁₀D₆	φ: C₂/C₁ → C₂ ⊆ Out D₆.Dic₅	120	8-	D6.Dic5:3C2	480,570
D₆.Dic₅⋊₄C₂ = D₁₂.₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₆.Dic₅	120	8+	D6.Dic5:4C2	480,572
D₆.Dic₅⋊₅C₂ = D₁₂⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₆.Dic₅	120	8+	D6.Dic5:5C2	480,580
D₆.Dic₅⋊₆C₂ = Dic₁₀.₂₆D₆	φ: C₂/C₁ → C₂ ⊆ Out D₆.Dic₅	240	8-	D6.Dic5:6C2	480,586
D₆.Dic₅⋊₇C₂ = D₂₀.₂₈D₆	φ: C₂/C₁ → C₂ ⊆ Out D₆.Dic₅	240	8-	D6.Dic5:7C2	480,594
D₆.Dic₅⋊₈C₂ = C₆₀.₄₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₆.Dic₅	240	8+	D6.Dic5:8C2	480,596
D₆.Dic₅⋊₉C₂ = D₅×C₈⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out D₆.Dic₅	120	4	D6.Dic5:9C2	480,320
D₆.Dic₅⋊₁₀C₂ = C₄₀⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out D₆.Dic₅	120	4	D6.Dic5:10C2	480,322
D₆.Dic₅⋊₁₁C₂ = C₄₀.₅₅D₆	φ: C₂/C₁ → C₂ ⊆ Out D₆.Dic₅	240	4	D6.Dic5:11C2	480,343
D₆.Dic₅⋊₁₂C₂ = D₁₂.₂Dic₅	φ: C₂/C₁ → C₂ ⊆ Out D₆.Dic₅	240	4	D6.Dic5:12C2	480,362
D₆.Dic₅⋊₁₃C₂ = S₃×C₄.Dic₅	φ: C₂/C₁ → C₂ ⊆ Out D₆.Dic₅	120	4	D6.Dic5:13C2	480,363
D₆.Dic₅⋊₁₄C₂ = D₁₂.Dic₅	φ: C₂/C₁ → C₂ ⊆ Out D₆.Dic₅	240	4	D6.Dic5:14C2	480,364
D₆.Dic₅⋊₁₅C₂ = C₄₀.₅₄D₆	φ: trivial image	240	4	D6.Dic5:15C2	480,341

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁