Extensions 1→N→G→Q→1 with N=C₄²:₂C₂ and Q=D₅

Direct product G=NxQ with N=C₄²:₂C₂ and Q=D₅

		d	ρ	Label	ID
D₅xC₄²:₂C₂		80		D5xC4^2:2C2	320,1375

Semidirect products G=N:Q with N=C₄²:₂C₂ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²:₂C₂:₁D₅ = C₄².₁₆₀D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄²:₂C₂	160		C4^2:2C2:1D5	320,1374
C₄²:₂C₂:₂D₅ = C₄²:₂₃D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄²:₂C₂	80		C4^2:2C2:2D5	320,1376
C₄²:₂C₂:₃D₅ = C₄²:₂₄D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄²:₂C₂	80		C4^2:2C2:3D5	320,1377
C₄²:₂C₂:₄D₅ = C₄².₁₆₁D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄²:₂C₂	160		C4^2:2C2:4D5	320,1379
C₄²:₂C₂:₅D₅ = C₄².₁₆₂D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄²:₂C₂	160		C4^2:2C2:5D5	320,1380
C₄²:₂C₂:₆D₅ = C₄².₁₆₃D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄²:₂C₂	160		C4^2:2C2:6D5	320,1381
C₄²:₂C₂:₇D₅ = C₄².₁₆₄D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄²:₂C₂	160		C4^2:2C2:7D5	320,1382
C₄²:₂C₂:₈D₅ = C₄²:₂₅D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄²:₂C₂	80		C4^2:2C2:8D5	320,1383
C₄²:₂C₂:₉D₅ = C₄².₁₆₅D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄²:₂C₂	160		C4^2:2C2:9D5	320,1384
C₄²:₂C₂:₁₀D₅ = C₄².₁₈₉D₁₀	φ: trivial image	160		C4^2:2C2:10D5	320,1378

Non-split extensions G=N.Q with N=C₄²:₂C₂ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²:₂C₂.D₅ = C₄².₁₅₉D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄²:₂C₂	160		C4^2:2C2.D5	320,1373

׿

x

:

Z

F

o

wr

Q

<