Finite Group Databasebeta

← Group #263483

Character table — Group #263483

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222224444444488888888888888161616161616161616161616161632323232
order12224444442444888844444444888888222244444488888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-11-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111-1-1-1-111-1-1-1-1-1111-11111111-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ5111111111111111111-1-1-1-11111111111-111-1-1-1-111-1-1-1-1-111-1-1
χ6111111111111111111-1-1-1-11111111111-1-1-11-111-1-11-1-1-1-1-1-111
χ7111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111-11-1-111-1-1-111-1-111
χ8111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11-1-11111-1-11-1-11111-1-1
χ911111111111111-1-1-1-111111111-1-1-1-1-1-1-11-11-11-11-1-1-1-1111-11-1
χ1011111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-11-111-1-111-11-11
χ1111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1111-11-1-1-1-1-1-1-11-11
χ1211111111111111-1-1-1-11111-1-1-1-1-1-111111-11-11-11-111-1-1-1-11-11-1
χ1311111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11-111-1111-1-11-1-11
χ1411111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-11111-1-11-111-1-1-111-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-111-111111-111-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-1-11-111111-1-11
χ172222222-2-22-2-22-2222200000000-2-2000002-20000-22000000000
χ182222222-2-22-2-22-2222200000000-2-200000-2200002-2000000000
χ192222222-2-22-2-22-2-2-2-2-2000000002200000220000-2-2000000000
χ202222222-2-22-2-22-2-2-2-2-2000000002200000-2-2000022000000000
χ2122222-2-2222-22-2-222-2-200000000-22000000020-2-200200000000
χ2222222-2-2222-22-2-222-2-200000000-220000000-202200-200000000
χ2322222-2-2222-22-2-2-2-222000000002-2000000020-2200-200000000
χ2422222-2-2222-22-2-2-2-222000000002-20000000-202-200200000000
χ2522222-2-2-2-222-2-2222-2-22-22-200002-2000000000000002-2000000
χ2622222-2-2-2-222-2-2222-2-2-22-2200002-200000000000000-22000000
χ2722222-2-2-2-222-2-22-2-2222-22-20000-2200000000000000-22000000
χ2822222-2-2-2-222-2-22-2-222-22-220000-22000000000000002-2000000
χ292222-22222-2-2-2-22000022-2-200000022-2-22000-20000000000000
χ302222-22222-2-2-2-22000022-2-2000000-2-222-200020000000000000
χ312222-22222-2-2-2-220000-2-22200000022-2-2-200020000000000000
χ322222-22222-2-2-2-220000-2-222000000-2-2222000-20000000000000
χ332222-2-2-2-2-2-2-222200002-2-222i2i−2i−2i0000000000000000002i−2i0000
χ342222-2-2-2-2-2-2-222200002-2-22−2i−2i2i2i000000000000000000−2i2i0000
χ352222-2-2-2-2-2-2-22220000-222-22i2i−2i−2i000000000000000000−2i2i0000
χ362222-2-2-2-2-2-2-22220000-222-2−2i−2i2i2i0000000000000000002i−2i0000
χ374444-444-4-4-444-4-4000000000000000000000000000000000000
χ384444-4-4-444-44-44-4000000000000000000000000000000000000
χ3944-4-404-400000002i2−2i22i2−2i200002-22-200002i2−2i2000000000000000000
χ4044-4-404-400000002i2−2i22i2−2i20000-22-220000−2i22i2000000000000000000
χ4144-4-404-40000000−2i22i2−2i22i200002-22-20000−2i22i2000000000000000000
χ4244-4-404-40000000−2i22i2−2i22i20000-22-2200002i2−2i2000000000000000000
χ4344-4-40-4400000002i2−2i2−2i22i200002i−2i−2i2i0022−2200000000000000000000
χ4444-4-40-4400000002i2−2i2−2i22i20000−2i2i2i−2i00−222200000000000000000000
χ4544-4-40-440000000−2i22i22i2−2i200002i−2i−2i2i00−222200000000000000000000
χ4644-4-40-440000000−2i22i22i2−2i20000−2i2i2i−2i0022−2200000000000000000000
χ478-88-880000-80000000000000000000000000000000000000000
χ488-88-8-8000080000000000000000000000000000000000000000
χ498-8-880008-800000000000000000000000000000000000000000
χ508-8-88000-8800000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).