Finite Group Databasebeta

← Group #287383

Character table — Group #287383

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444488888888888888888888888822444444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911111111-1-1-1-11111111111-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-11-11-111-1-111-1-11-1
χ1011111111-1-1-1-11111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111111-11-1-1-111-1-111-11
χ1111111111-1-1-1-11111111111-1-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-1-1-1-11-1111-1-1-1-111-11
χ1211111111-1-1-1-11111111111-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-11-11-1-11111-1-11-1
χ1311111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-11-11-1-11111-1-1-11
χ1411111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11111-11-1111-1-1-1-1111-1
χ1511111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11-11-1-1-111-1-1111-1
χ1611111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111111-11-111-1-111-1-1-11
χ1722222222222222-22-2-2-22-2-222-2-2-200000000000000000000000022-2-20000000000
χ1822222222222222-22-2-2-22-2-222-2-2-2000000000000000000000000-2-2220000000000
χ19222222222222-2-22-2222-2-2-2-2-222-20000222200000000-2-2-2-2000000000000000000
χ20222222222222-2-22-2222-2-2-2-2-222-20000-2-2-2-2000000002222000000000000000000
χ21222222222222-2-2-2-2-2-2-2-222-2-2-2-222i2i−2i−2i000000002i2i−2i−2i0000000000000000000000
χ22222222222222-2-2-2-2-2-2-2-222-2-2-2-22−2i−2i2i2i00000000−2i−2i2i2i0000000000000000000000
χ2322222222-2-2-2-222-22-2-2-22-2-2-2-22220000000000000000000000002-2-220000000000
χ2422222222-2-2-2-222-22-2-2-22-2-2-2-2222000000000000000000000000-222-20000000000
χ2522222222-2-2-2-2-2-22-2222-2-2-222-2-22000022-2-200000000-2-222000000000000000000
χ2622222222-2-2-2-2-2-22-2222-2-2-222-2-220000-2-2220000000022-2-2000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-22i2i−2i−2i00000000−2i−2i2i2i0000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2−2i−2i2i2i000000002i2i−2i−2i0000000000000000000000
χ2922-2-222-2-200002-22-22-2-222-200000000000002i2i−2i−2i2i−2i2i−2i000000000000002-2000000
χ3022-2-222-2-200002-22-22-2-222-200000000000002i2i−2i−2i−2i2i−2i2i00000000000000-22000000
χ3122-2-222-2-200002-22-22-2-222-20000000000000−2i−2i2i2i2i−2i2i−2i00000000000000-22000000
χ3222-2-222-2-200002-22-22-2-222-20000000000000−2i−2i2i2i−2i2i−2i2i000000000000002-2000000
χ3322-2-222-2-20000-22-22-222-22-2000000000000000002-2-2200002i2i−2i−2i00002i−2i00000000
χ3422-2-222-2-20000-22-22-222-22-2000000000000000002-2-220000−2i−2i2i2i0000−2i2i00000000
χ3522-2-222-2-20000-22-22-222-22-200000000000000000-222-200002i2i−2i−2i0000−2i2i00000000
χ3622-2-222-2-20000-22-22-222-22-200000000000000000-222-20000−2i−2i2i2i00002i−2i00000000
χ372-22-22-2-2222-2-20020-22-2000002-20000000002−22−200002i−2i2i−2i2−22−200000000i2−i2i2−i200
χ382-22-22-2-2222-2-20020-22-2000002-20000000002−22−20000−2i2i−2i2i2−22−200000000−i2i2−i2i200
χ392-22-22-2-2222-2-20020-22-2000002-2000000000−22−2200002i−2i2i−2i−22−2200000000−i2i2−i2i200
χ402-22-22-2-2222-2-20020-22-2000002-2000000000−22−220000−2i2i−2i2i−22−2200000000i2−i2i2−i200
χ412-22-22-2-22-2-2220020-22-200000-220000000002−22−200002i−2i−2i2i−22−2200000000i2−i2−i2i200
χ422-22-22-2-22-2-2220020-22-200000-220000000002−22−20000−2i2i2i−2i−22−2200000000−i2i2i2−i200
χ432-22-22-2-22-2-2220020-22-200000-22000000000−22−2200002i−2i−2i2i2−22−200000000−i2i2i2−i200
χ442-22-22-2-22-2-2220020-22-200000-22000000000−22−220000−2i2i2i−2i2−22−200000000i2−i2−i2i200
χ454444-4-4-4-44-44-4000000000000000000022−2222−22000000000000000000000000000000
χ464444-4-4-4-44-44-40000000000000000000−2222−2222000000000000000000000000000000
χ474444-4-4-4-4-44-44000000000000000000022−22−2222000000000000000000000000000000
χ484444-4-4-4-4-44-440000000000000000000−222222−22000000000000000000000000000000
χ4944-4-444-4-400004-4-4-4-4444-440000000000000000000000000000000000000000000
χ5044-4-444-4-40000-44444-4-4-4-440000000000000000000000000000000000000000000
χ514-44-44-4-4444-4-400-404-4400000-44000000000000000000000000000000000000000
χ524-44-44-4-44-4-44400-404-44000004-4000000000000000000000000000000000000000
χ534-44-4-444-44-4-44440-4000-4004-400000000000000000000000000000000000000000
χ544-44-4-444-44-4-44-4-404000400-4400000000000000000000000000000000000000000
χ554-44-4-444-4-444-4440-4000-400-4400000000000000000000000000000000000000000
χ564-44-4-444-4-444-4-4-4040004004-400000000000000000000000000000000000000000
χ574-4-444-44-400000040-4-4400000000000000002i2−2i2−2i22i200000000000000000000000000
χ584-4-444-44-400000040-4-440000000000000000−2i22i22i2−2i200000000000000000000000000
χ594-4-444-44-4000000-4044-400000000000000000000000000002i2−2i2−2i22i200000000000000
χ604-4-444-44-4000000-4044-40000000000000000000000000000−2i22i22i2−2i200000000000000
χ614-4-44-44-4400004-404000-400000002i2−2i22i2−2i20000000000000000000000000000000000
χ624-4-44-44-4400004-404000-40000000−2i22i2−2i22i20000000000000000000000000000000000
χ634-4-44-44-440000-440-40004000000022−22−22220000000000000000000000000000000000
χ644-4-44-44-440000-440-400040000000−222222−220000000000000000000000000000000000
χ6588-8-8-8-888000000000000000000000000000000000000000000000000000000000

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