Extensions 1→N→G→Q→1 with N=Q₈oD₁₂ and Q=C₂

Direct product G=NxQ with N=Q₈oD₁₂ and Q=C₂

		d	ρ	Label	ID
C₂xQ₈oD₁₂		96		C2xQ8oD12	192,1522

Semidirect products G=N:Q with N=Q₈oD₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈oD₁₂:₁C₂ = D₄.₁₀D₁₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈oD₁₂	48	4	Q8oD12:1C2	192,386
Q₈oD₁₂:₂C₂ = D₁₂.₃₈D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈oD₁₂	48	8-	Q8oD12:2C2	192,760
Q₈oD₁₂:₃C₂ = D₄.₁₁D₁₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈oD₁₂	48	4	Q8oD12:3C2	192,1310
Q₈oD₁₂:₄C₂ = D₄.₁₃D₁₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈oD₁₂	96	4-	Q8oD12:4C2	192,1312
Q₈oD₁₂:₅C₂ = D₈:₁₁D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈oD₁₂	48	4	Q8oD12:5C2	192,1329
Q₈oD₁₂:₆C₂ = D₈.₁₀D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈oD₁₂	96	4-	Q8oD12:6C2	192,1330
Q₈oD₁₂:₇C₂ = D₈:₆D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈oD₁₂	48	8-	Q8oD12:7C2	192,1334
Q₈oD₁₂:₈C₂ = SD₁₆.D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈oD₁₂	96	8-	Q8oD12:8C2	192,1338
Q₈oD₁₂:₉C₂ = D₁₂.₃₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈oD₁₂	48	8-	Q8oD12:9C2	192,1395
Q₈oD₁₂:₁₀C₂ = D₁₂.₃₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈oD₁₂	96	8-	Q8oD12:10C2	192,1397
Q₈oD₁₂:₁₁C₂ = D₆.C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out Q₈oD₁₂	48	8-	Q8oD12:11C2	192,1525
Q₈oD₁₂:₁₂C₂ = S₃x2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Q₈oD₁₂	48	8-	Q8oD12:12C2	192,1526
Q₈oD₁₂:₁₃C₂ = C₆.C₂⁵	φ: trivial image	48	4	Q8oD12:13C2	192,1523

Non-split extensions G=N.Q with N=Q₈oD₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈oD₁₂.₁C₂ = Q₈.₁₄D₁₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈oD₁₂	48	4-	Q8oD12.1C2	192,385
Q₈oD₁₂.₂C₂ = D₁₂.₄₀D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈oD₁₂	48	8-	Q8oD12.2C2	192,764

׿

x

:

Z

F

o

wr

Q

<