Finite Group Databasebeta

← Group #329613

Character table — Group #329613

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444444444888888888888888888888888161616161616161632323232
order12222222444444442244444444444444448888888888888888888888882444
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ91111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-11-1
χ101111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-11-11
χ111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111-1-11
χ121111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-111-1
χ131111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-11-11
χ141111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1111-11-1
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-111-1
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-11
χ17222222222222-2-2-2-222-2-222-2-2-2-20000000022-2-222-2-200000000000000000000
χ18222222222222-2-2-2-222-2-222-2-2-2-200000000-2-222-2-22200000000000000000000
χ19222222222222-2-2-2-2-2-2-2-2-2-222220000000022-2-2-2-22200000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-2222200000000-2-22222-2-200000000000000000000
χ2122222222-2-2-2-2222222-2-2-2-222-2-222-2-222-2-20000000000000000000000000000
χ2222222222-2-2-2-2222222-2-2-2-222-2-2-2-222-2-2220000000000000000000000000000
χ2322222222-2-2-2-22222-2-2-2-222-2-22222-2-2-2-2220000000000000000000000000000
χ2422222222-2-2-2-22222-2-2-2-222-2-222-2-22222-2-20000000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-2-2-22200000000000000002i2i−2i−2i2i2i−2i−2i000000000000
χ2622222222-2-2-2-2-2-2-2-22222-2-2-2-2220000000000000000−2i−2i2i2i−2i−2i2i2i000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222222-2-200000000000000002i2i−2i−2i−2i−2i2i2i000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222222-2-20000000000000000−2i−2i2i2i2i2i−2i−2i000000000000
χ2922-22-22-2-2000022-2-22-200002-200002i−2i002i−2ii2−i2i2−i2i2−i2i2−i22−22−22−22−2000000000000
χ3022-22-22-2-2000022-2-22-200002-200002i−2i002i−2i−i2i2−i2i2−i2i2−i2i2−22−22−22−22000000000000
χ3122-22-22-2-2000022-2-22-200002-20000−2i2i00−2i2ii2−i2i2−i2i2−i2i2−i2−22−22−22−22000000000000
χ3222-22-22-2-2000022-2-22-200002-20000−2i2i00−2i2i−i2i2−i2i2−i2i2−i2i22−22−22−22−2000000000000
χ3322-22-22-2-2000022-2-2-220000-2200002i−2i00−2i2ii2−i2i2−i2−i2i2−i2i22−22−2−22−22000000000000
χ3422-22-22-2-2000022-2-2-220000-2200002i−2i00−2i2i−i2i2−i2i2i2−i2i2−i2−22−222−22−2000000000000
χ3522-22-22-2-2000022-2-2-220000-220000−2i2i002i−2ii2−i2i2−i2−i2i2−i2i2−22−222−22−2000000000000
χ3622-22-22-2-2000022-2-2-220000-220000−2i2i002i−2i−i2i2−i2i2i2−i2i2−i22−22−2−22−22000000000000
χ3722-22-22-2-20000-2-2222-20000-22002-2002-200i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2000000000000
χ3822-22-22-2-20000-2-2222-20000-22002-2002-200−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2000000000000
χ3922-22-22-2-20000-2-2222-20000-2200-2200-2200i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2000000000000
χ4022-22-22-2-20000-2-2222-20000-2200-2200-2200−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2000000000000
χ4122-22-22-2-20000-2-222-2200002-2002-200-2200i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2000000000000
χ4222-22-22-2-20000-2-222-2200002-2002-200-2200−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2000000000000
χ4322-22-22-2-20000-2-222-2200002-200-22002-200i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2000000000000
χ4422-22-22-2-20000-2-222-2200002-200-22002-200−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2000000000000
χ4544-4-44-44-444-4-4000000000000000000000000000000000000000000002i2−2i20000
χ4644-4-44-44-444-4-400000000000000000000000000000000000000000000−2i22i20000
χ4744-4-44-44-4-4-4440000000000000000000000000000000000000000002i2−2i2000000
χ4844-4-44-44-4-4-444000000000000000000000000000000000000000000−2i22i2000000
χ494-444-4-44-44-44-400000000000000000000000000000000000000002i2−2i200000000
χ504-444-4-44-44-44-40000000000000000000000000000000000000000−2i22i200000000
χ514-444-4-44-4-44-44000000000000000000000000000000000000002i2−2i20000000000
χ524-444-4-44-4-44-4400000000000000000000000000000000000000−2i22i20000000000
χ534-44-444-4-400004-44-400004i−4i004i−4i000000000000000000000000000000000000
χ544-44-444-4-400004-44-40000−4i4i00−4i4i000000000000000000000000000000000000
χ554-44-444-4-40000-44-4400004i−4i00−4i4i000000000000000000000000000000000000
χ564-44-444-4-40000-44-440000−4i4i004i−4i000000000000000000000000000000000000
χ574-4-4-4-44444-4-444-4-44004-4000000000000000000000000000000000000000000
χ584-4-4-4-44444-4-44-444-400-44000000000000000000000000000000000000000000
χ594-4-4-4-4444-444-44-4-4400-44000000000000000000000000000000000000000000
χ604-4-4-4-4444-444-4-444-4004-4000000000000000000000000000000000000000000
χ61888-8-8-8-88000000000000000000000000000000000000000000000000000000
χ628-8-888-8-88000000000000000000000000000000000000000000000000000000

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