Finite Group Databasebeta

← Group #279438

Character table — Group #279438

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444224444444888888888888888844448888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111111111111-1-1-1-1-1-11-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911111111111-1-1-1-111111-1-111-1-11111-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-11-1
χ1011111111111-1-1-1-111111-1-111-1-11111-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-11
χ1111111111111-1-1-1-111111-1-111-1-11111-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-1-11
χ1211111111111-1-1-1-111111-1-111-1-11111-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1111-1
χ1311111111111-1-1-1-111111-1-111-1-1-1-1-1-111-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-11
χ1411111111111-1-1-1-111111-1-111-1-1-1-1-1-111-1111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-11-1
χ1511111111111-1-1-1-111111-1-111-1-1-1-1-1-111-111-1-1-1-1111111-1-111-1-111-1-1-1-111-1-1111-1
χ1611111111111-1-1-1-111111-1-111-1-1-1-1-1-111-111-1-1-1-11111-1-111-1-11111-1-111-1-111-1-1-11
χ17222222222-2-2222222-22-222-2-2-2-222-2-222-2-2-2000000000000000000000000000000
χ18222222222-2-2222222-22-222-2-2-2-2-2-222-2-2-222000000000000000000000000000000
χ19222222222-2-2-2-2-2-222-22-2-2-2-2-22222-2-2-2-2222000000000000000000000000000000
χ20222222222-2-2-2-2-2-222-22-2-2-2-2-222-2-222222-2-2000000000000000000000000000000
χ2122222222-2222222-2-22-22-2-2-2-222000000-200000000002222-2-2-2-200000000000000
χ2222222222-2222222-2-22-22-2-2-2-222000000-20000000000-2-2-2-2222200000000000000
χ2322222222-222-2-2-2-2-2-22-2222-2-2-2-20000002000000000022-2-2-2-22200000000000000
χ2422222222-222-2-2-2-2-2-22-2222-2-2-2-200000020000000000-2-22222-2-200000000000000
χ2522222222-2-2-22222-2-2-2-2-2-2-222-2-20000002000000000000000000000000002i−2i2i−2i00
χ2622222222-2-2-22222-2-2-2-2-2-2-222-2-2000000200000000000000000000000000−2i2i−2i2i00
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000-2000000000000000000000000002i−2i−2i2i00
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000-200000000000000000000000000−2i2i2i−2i00
χ2922-22-22-2-222200002-2-2-2-2002-2002-22-200000000022-2-200000000002-20000000000
χ3022-22-22-2-222200002-2-2-2-2002-2002-22-2000000000-2-2220000000000-220000000000
χ3122-22-22-2-222200002-2-2-2-2002-200-22-2200000000022-2-20000000000-220000000000
χ3222-22-22-2-222200002-2-2-2-2002-200-22-22000000000-2-22200000000002-20000000000
χ3322-22-22-2-22-2-200002-22-2200-22002-2-22000002i2i−2i−2i0000000000002i−2i000000000000
χ3422-22-22-2-22-2-200002-22-2200-22002-2-2200000−2i−2i2i2i000000000000−2i2i000000000000
χ3522-22-22-2-22-2-200002-22-2200-2200-222-2000002i2i−2i−2i000000000000−2i2i000000000000
χ3622-22-22-2-22-2-200002-22-2200-2200-222-200000−2i−2i2i2i0000000000002i−2i000000000000
χ372-2-222-2-2202-222-2-20020-200002-2000000000i2−i2i2−i2i2−i2i2−i200002i−2i2i−2i00002−22−2000000
χ382-2-222-2-2202-222-2-20020-200002-2000000000i2−i2i2−i2i2−i2i2−i20000−2i2i−2i2i0000−22−22000000
χ392-2-222-2-2202-222-2-20020-200002-2000000000−i2i2−i2i2−i2i2−i2i200002i−2i2i−2i0000−22−22000000
χ402-2-222-2-2202-222-2-20020-200002-2000000000−i2i2−i2i2−i2i2−i2i20000−2i2i−2i2i00002−22−2000000
χ412-2-222-2-2202-2-2-2220020-20000-22000000000i2−i2i2−i2−i2i2−i2i200002i−2i−2i2i00002−2−22000000
χ422-2-222-2-2202-2-2-2220020-20000-22000000000i2−i2i2−i2−i2i2−i2i20000−2i2i2i−2i0000−222−2000000
χ432-2-222-2-2202-2-2-2220020-20000-22000000000−i2i2−i2i2i2−i2i2−i200002i−2i−2i2i0000−222−2000000
χ442-2-222-2-2202-2-2-2220020-20000-22000000000−i2i2−i2i2i2−i2i2−i20000−2i2i2i−2i00002−2−22000000
χ45444-44-4-4-44004-44-4-4-40404-40000000000000000000000000000000000000000000
χ46444-44-4-4-4400-44-44-4-4040-440000000000000000000000000000000000000000000
χ47444-44-4-4-4-4004-44-4440-40-440000000000000000000000000000000000000000000
χ48444-44-4-4-4-400-44-44440-404-40000000000000000000000000000000000000000000
χ4944-44-44-4-4-4440000-44-44-400-4400000000000000000000000000000000000000000
χ5044-44-44-4-4-4-4-40000-44444004-400000000000000000000000000000000000000000
χ5144-4-4-4-4444000000-440-4000000000004i−4i000000000000000000000000000000000
χ5244-4-4-4-4444000000-440-400000000000−4i4i000000000000000000000000000000000
χ5344-4-4-4-444-40000004-404000000000000004-4000000000000000000000000000000
χ5444-4-4-4-444-40000004-40400000000000000-44000000000000000000000000000000
χ554-444-4-44-404-4000000-40400000000000000000002i2−2i2−2i22i20000000000000000000000
χ564-444-4-44-404-4000000-4040000000000000000000−2i22i22i2−2i20000000000000000000000
χ574-444-4-44-40-4400000040-400000000000000022−22−222200000000000000000000000000
χ584-444-4-44-40-4400000040-4000000000000000−222222−2200000000000000000000000000
χ594-4-444-4-440-4444-4-400-4040000-44000000000000000000000000000000000000000
χ604-4-444-4-440-44-4-44400-40400004-4000000000000000000000000000000000000000
χ614-4-4-4444-40004-4-4400000000000000000000000000002i2−2i22i2−2i2000000000000000000
χ624-4-4-4444-40004-4-440000000000000000000000000000−2i22i2−2i22i2000000000000000000
χ634-4-4-4444-4000-444-400000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ644-4-4-4444-4000-444-40000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ658-88-8-88-88000000000000000000000000000000000000000000000000000000000

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