Extensions 1→N→G→Q→1 with N=C₄²:₂C₂ and Q=C₁₀

Direct product G=NxQ with N=C₄²:₂C₂ and Q=C₁₀

		d	ρ	Label	ID
C₁₀xC₄²:₂C₂		160		C10xC4^2:2C2	320,1530

Semidirect products G=N:Q with N=C₄²:₂C₂ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²:₂C₂:₁C₁₀ = C₅xC₂².₃₂C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²:₂C₂	80		C4^2:2C2:1C10	320,1540
C₄²:₂C₂:₂C₁₀ = C₅xC₂².₃₃C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²:₂C₂	160		C4^2:2C2:2C10	320,1541
C₄²:₂C₂:₃C₁₀ = C₅xC₂².₃₆C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²:₂C₂	160		C4^2:2C2:3C10	320,1544
C₄²:₂C₂:₄C₁₀ = C₅xC₂².₄₅C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²:₂C₂	80		C4^2:2C2:4C10	320,1553
C₄²:₂C₂:₅C₁₀ = C₅xC₂².₄₆C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²:₂C₂	160		C4^2:2C2:5C10	320,1554
C₄²:₂C₂:₆C₁₀ = C₅xC₂².₄₇C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²:₂C₂	160		C4^2:2C2:6C10	320,1555
C₄²:₂C₂:₇C₁₀ = C₅xC₂².₅₀C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²:₂C₂	160		C4^2:2C2:7C10	320,1558
C₄²:₂C₂:₈C₁₀ = C₅xC₂².₅₄C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²:₂C₂	80		C4^2:2C2:8C10	320,1562
C₄²:₂C₂:₉C₁₀ = C₅xC₂².₅₇C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²:₂C₂	160		C4^2:2C2:9C10	320,1565
C₄²:₂C₂:₁₀C₁₀ = C₅xC₂³.₃₆C₂³	φ: trivial image	160		C4^2:2C2:10C10	320,1531

Non-split extensions G=N.Q with N=C₄²:₂C₂ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²:₂C₂.C₁₀ = C₅xC₂².₃₅C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²:₂C₂	160		C4^2:2C2.C10	320,1543

׿

x

:

Z

F

o

wr

Q

<