Finite Group Databasebeta

← Group #324484

Character table — Group #324484

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size1111111122222222444444444444448888888888888888888888888888881616161632323232
order12222222444444444444448888888844444444448888888888888888888888882444
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ91111111111111111-1-111-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11-11-1
χ101111111111111111-1-111-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-11-11
χ111111111111111111-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-11-11
χ121111111111111111-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-11-1
χ131111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1111-1-11
χ141111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-111-1
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-111-1
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-11-1-11
χ172222222222-2-2-2-22222-2-2-2-22222-2-2-2-2-220000000022-2-2000000000000000000000000
χ182222222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2200000000-2-222000000000000000000000000
χ192222222222-2-2-2-222-2-2-2-2222222-2-2-2-22-200000000-2-222000000000000000000000000
χ202222222222-2-2-2-222-2-2-2-222-2-2-2-222222-20000000022-2-2000000000000000000000000
χ2122222222-2-22222-2-222-2-22200000000-2-222-2-222-2-20000000000000000000000000000
χ2222222222-2-22222-2-222-2-22200000000-2-2-2-222-2-2220000000000000000000000000000
χ2322222222-2-22222-2-2-2-2-2-2-2-2000000002222-2-2-2-2220000000000000000000000000000
χ2422222222-2-22222-2-2-2-2-2-2-2-20000000022-2-22222-2-20000000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-2000000002-2000000000000000000002i2i−2i−2i2i2i−2i−2i00000000
χ2622222222-2-2-2-2-2-2-2-22222-2-2000000002-200000000000000000000−2i−2i2i2i−2i−2i2i2i00000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222200000000-22000000000000000000002i2i−2i−2i−2i−2i2i2i00000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222200000000-2200000000000000000000−2i−2i2i2i2i2i−2i−2i00000000
χ2922-222-2-2-20022-2-2002i−2i002i−2i22−2−222−2−200002i−2i002-2i2−i2i2−i200000000i2−i2i2−i22−22−200000000
χ3022-222-2-2-20022-2-2002i−2i002i−2i22−2−222−2−20000−2i2i00-22i2−i2i2−i200000000−i2i2−i2i2−22−2200000000
χ3122-222-2-2-20022-2-2002i−2i002i−2i−2−222−2−22200002i−2i002-2−i2i2−i2i200000000−i2i2−i2i2−22−2200000000
χ3222-222-2-2-20022-2-2002i−2i002i−2i−2−222−2−2220000−2i2i00-22−i2i2−i2i200000000i2−i2i2−i22−22−200000000
χ3322-222-2-2-20022-2-200−2i2i00−2i2i22−2−222−2−200002i−2i00-22−i2i2−i2i200000000i2−i2i2−i2−22−2200000000
χ3422-222-2-2-20022-2-200−2i2i00−2i2i22−2−222−2−20000−2i2i002-2−i2i2−i2i200000000−i2i2−i2i22−22−200000000
χ3522-222-2-2-20022-2-200−2i2i00−2i2i−2−222−2−22200002i−2i00-22i2−i2i2−i200000000−i2i2−i2i22−22−200000000
χ3622-222-2-2-20022-2-200−2i2i00−2i2i−2−222−2−2220000−2i2i002-2i2−i2i2−i200000000i2−i2i2−i2−22−2200000000
χ3722-222-2-2-200-2-222002i−2i00−2i2i22−2−2−2−222002-2002i−2i00i2−i2−i2i2000000002−2−22−i2i2i2−i200000000
χ3822-222-2-2-200-2-222002i−2i00−2i2i22−2−2−2−22200-2200−2i2i00i2−i2−i2i200000000−222−2i2−i2−i2i200000000
χ3922-222-2-2-200-2-222002i−2i00−2i2i−2−22222−2−2002-2002i−2i00−i2i2i2−i200000000−222−2i2−i2−i2i200000000
χ4022-222-2-2-200-2-222002i−2i00−2i2i−2−22222−2−200-2200−2i2i00−i2i2i2−i2000000002−2−22−i2i2i2−i200000000
χ4122-222-2-2-200-2-22200−2i2i002i−2i22−2−2−2−222002-200−2i2i00−i2i2i2−i2000000002−2−22i2−i2−i2i200000000
χ4222-222-2-2-200-2-22200−2i2i002i−2i22−2−2−2−22200-22002i−2i00−i2i2i2−i200000000−222−2−i2i2i2−i200000000
χ4322-222-2-2-200-2-22200−2i2i002i−2i−2−22222−2−2002-200−2i2i00i2−i2−i2i200000000−222−2−i2i2i2−i200000000
χ4422-222-2-2-200-2-22200−2i2i002i−2i−2−22222−2−200-22002i−2i00i2−i2−i2i2000000002−2−22i2−i2−i2i200000000
χ452-2-22-222-2222-22-2-2-2002-2002i−2i2i−2i2i−2i2i−2i00000000000000000022-2-200000000002i−2i0000
χ462-2-22-222-2222-22-2-2-2002-2002i−2i2i−2i2i−2i2i−2i000000000000000000-2-2220000000000−2i2i0000
χ472-2-22-222-2222-22-2-2-2002-200−2i2i−2i2i−2i2i−2i2i00000000000000000022-2-20000000000−2i2i0000
χ482-2-22-222-2222-22-2-2-2002-200−2i2i−2i2i−2i2i−2i2i000000000000000000-2-22200000000002i−2i0000
χ492-2-22-222-222-22-22-2-200-22002i−2i2i−2i−2i2i−2i2i0000000000000022-2-20000000000002i−2i000000
χ502-2-22-222-222-22-22-2-200-22002i−2i2i−2i−2i2i−2i2i00000000000000-2-222000000000000−2i2i000000
χ512-2-22-222-222-22-22-2-200-2200−2i2i−2i2i2i−2i2i−2i0000000000000022-2-2000000000000−2i2i000000
χ522-2-22-222-222-22-22-2-200-2200−2i2i−2i2i2i−2i2i−2i00000000000000-2-2220000000000002i−2i000000
χ5344-4-4-44-444-400004-4000000000000000000000000000000002i2−2i22i2−2i20000000000000000
χ5444-4-4-44-444-400004-400000000000000000000000000000000−2i22i2−2i22i20000000000000000
χ5544-4-4-44-44-440000-4400000000000000000000000000002i2−2i22i2−2i200000000000000000000
χ5644-4-4-44-44-440000-440000000000000000000000000000−2i22i2−2i22i200000000000000000000
χ574-444-4-4-44004-4-44000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000000000000000
χ584-444-4-4-44004-4-4400000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000000000000000
χ594-444-4-4-4400-444-4000000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000000000000000
χ604-444-4-4-4400-444-400000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000000000000000
χ614-44-444-4-44-40000-44000000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ624-44-444-4-44-40000-4400000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ634-44-444-4-4-4400004-400000000000000000000000000002i2−2i2−2i22i200000000000000000000
χ644-44-444-4-4-4400004-40000000000000000000000000000−2i22i22i2−2i200000000000000000000
χ654-4-44-444-4-4-44-44-44400-44000000000000000000000000000000000000000000000000
χ664-4-44-444-4-4-4-44-4444004-4000000000000000000000000000000000000000000000000
χ67888-8-8-88-8000000000000000000000000000000000000000000000000000000000000
χ688-8-8-88-888000000000000000000000000000000000000000000000000000000000000

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