Extensions 1→N→G→Q→1 with N=D₅₂:₅C₂ and Q=C₂

Direct product G=NxQ with N=D₅₂:₅C₂ and Q=C₂

		d	ρ	Label	ID
C₂xD₅₂:₅C₂		208		C2xD52:5C2	416,215

Semidirect products G=N:Q with N=D₅₂:₅C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₅₂:₅C₂:₁C₂ = D₁₀₄:₇C₂	φ: C₂/C₁ → C₂ ⊆ Out D₅₂:₅C₂	208	2	D52:5C2:1C2	416,125
D₅₂:₅C₂:₂C₂ = C₈:D₂₆	φ: C₂/C₁ → C₂ ⊆ Out D₅₂:₅C₂	104	4+	D52:5C2:2C2	416,129
D₅₂:₅C₂:₃C₂ = D₅₂:₆C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₅₂:₅C₂	104	4	D52:5C2:3C2	416,153
D₅₂:₅C₂:₄C₂ = C₅₂.C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₅₂:₅C₂	208	4	D52:5C2:4C2	416,171
D₅₂:₅C₂:₅C₂ = D₄:₆D₂₆	φ: C₂/C₁ → C₂ ⊆ Out D₅₂:₅C₂	104	4	D52:5C2:5C2	416,218
D₅₂:₅C₂:₆C₂ = Q₈.₁₀D₂₆	φ: C₂/C₁ → C₂ ⊆ Out D₅₂:₅C₂	208	4	D52:5C2:6C2	416,221
D₅₂:₅C₂:₇C₂ = C₄oD₄xD₁₃	φ: C₂/C₁ → C₂ ⊆ Out D₅₂:₅C₂	104	4	D52:5C2:7C2	416,222
D₅₂:₅C₂:₈C₂ = D₄:₈D₂₆	φ: C₂/C₁ → C₂ ⊆ Out D₅₂:₅C₂	104	4+	D52:5C2:8C2	416,223
D₅₂:₅C₂:₉C₂ = D₄.₁₀D₂₆	φ: C₂/C₁ → C₂ ⊆ Out D₅₂:₅C₂	208	4-	D52:5C2:9C2	416,224

Non-split extensions G=N.Q with N=D₅₂:₅C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₅₂:₅C₂.₁C₂ = D₅₂:₄C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅₂:₅C₂	104	2	D52:5C2.1C2	416,12
D₅₂:₅C₂.₂C₂ = D₅₂:₇C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅₂:₅C₂	104	4	D52:5C2.2C2	416,32
D₅₂:₅C₂.₃C₂ = D₅₂.₂C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅₂:₅C₂	208	4	D52:5C2.3C2	416,128
D₅₂:₅C₂.₄C₂ = C₈.D₂₆	φ: C₂/C₁ → C₂ ⊆ Out D₅₂:₅C₂	208	4-	D52:5C2.4C2	416,130
D₅₂:₅C₂.₅C₂ = Q₈.D₂₆	φ: C₂/C₁ → C₂ ⊆ Out D₅₂:₅C₂	208	4	D52:5C2.5C2	416,163
D₅₂:₅C₂.₆C₂ = D₅₂.₃C₄	φ: trivial image	208	2	D52:5C2.6C2	416,122

׿

x

:

Z

F

o

wr

Q

<