Extensions 1→N→G→Q→1 with N=D₅₂ and Q=C₂

Direct product G=NxQ with N=D₅₂ and Q=C₂

		d	ρ	Label	ID
C₂xD₅₂		104		C2xD52	208,37

Semidirect products G=N:Q with N=D₅₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₅₂:₁C₂ = D₁₀₄	φ: C₂/C₁ → C₂ ⊆ Out D₅₂	104	2+	D52:1C2	208,7
D₅₂:₂C₂ = D₄:D₁₃	φ: C₂/C₁ → C₂ ⊆ Out D₅₂	104	4+	D52:2C2	208,15
D₅₂:₃C₂ = D₄xD₁₃	φ: C₂/C₁ → C₂ ⊆ Out D₅₂	52	4+	D52:3C2	208,39
D₅₂:₄C₂ = D₅₂:C₂	φ: C₂/C₁ → C₂ ⊆ Out D₅₂	104	4+	D52:4C2	208,42
D₅₂:₅C₂ = D₅₂:₅C₂	φ: trivial image	104	2	D52:5C2	208,38

Non-split extensions G=N.Q with N=D₅₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₅₂.₁C₂ = C₁₀₄:C₂	φ: C₂/C₁ → C₂ ⊆ Out D₅₂	104	2	D52.1C2	208,6
D₅₂.₂C₂ = Q₈:D₁₃	φ: C₂/C₁ → C₂ ⊆ Out D₅₂	104	4+	D52.2C2	208,17

׿

x

:

Z

F

o

wr

Q

<