Finite Group Databasebeta

← Group #329596

Character table — Group #329596

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444444444888888888888888888888888161616161616161632323232
order12222222444444442244444444222244448888888888888888888888884444
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
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
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-11
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-11-1
χ91111111111111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ101111111111111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111
χ111111111111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111-1-11
χ121111111111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-111-1
χ131111111111111111-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ141111111111111111-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1
χ151111111111111111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-111-1
χ161111111111111111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-11
χ172222222222-2-2-2-2222222-2-2-2-2-2-22222-2-2-2-20000000000000000000000000000
χ182222222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000
χ192222222222-2-2-2-222-2-2-2-222-2-22222-2-2-2-2220000000000000000000000000000
χ202222222222-2-2-2-222-2-2-2-222-2-222-2-22222-2-20000000000000000000000000000
χ2122222222-2-22222-2-222-2-222-2-2-2-20000000022-2-222-2-200000000000000000000
χ2222222222-2-22222-2-222-2-222-2-2-2-200000000-2-222-2-22200000000000000000000
χ2322222222-2-22222-2-2-2-222-2-2-2-2220000000022-2-2-2-22200000000000000000000
χ2422222222-2-22222-2-2-2-222-2-2-2-22200000000-2-22222-2-200000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2-2-2222200000000000000002i2i−2i−2i2i2i−2i−2i000000000000
χ2622222222-2-2-2-2-2-2-2-222-2-2-2-222220000000000000000−2i−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
χ292222-2-2-2-2220000-2-22-22-20000002-22-200002−22−22−22−22−22−22−22−2000000000000
χ302222-2-2-2-2220000-2-22-22-20000002-22-20000−22−22−22−22−22−22−22−22000000000000
χ312222-2-2-2-2220000-2-22-22-2000000-22-2200002−22−22−22−2−22−22−22−22000000000000
χ322222-2-2-2-2220000-2-22-22-2000000-22-220000−22−22−22−222−22−22−22−2000000000000
χ332222-2-2-2-2220000-2-2-22-220000002-2-2200002−22−2−22−222−22−2−22−22000000000000
χ342222-2-2-2-2220000-2-2-22-220000002-2-220000−22−222−22−2−22−222−22−2000000000000
χ352222-2-2-2-2220000-2-2-22-22000000-222-200002−22−2−22−22−22−222−22−2000000000000
χ362222-2-2-2-2220000-2-2-22-22000000-222-20000−22−222−22−22−22−2−22−22000000000000
χ372222-2-2-2-2-2-20000222-2-2200000000002i−2i2i−2i2−2−222−2−22i2−i2−i2i2i2−i2−i2i2000000000000
χ382222-2-2-2-2-2-20000222-2-2200000000002i−2i2i−2i−222−2−222−2−i2i2i2−i2−i2i2i2−i2000000000000
χ392222-2-2-2-2-2-20000222-2-220000000000−2i2i−2i2i2−2−222−2−22−i2i2i2−i2−i2i2i2−i2000000000000
χ402222-2-2-2-2-2-20000222-2-220000000000−2i2i−2i2i−222−2−222−2i2−i2−i2i2i2−i2−i2i2000000000000
χ412222-2-2-2-2-2-2000022-222-200000000002i−2i−2i2i2−2−22−222−2i2−i2−i2i2−i2i2i2−i2000000000000
χ422222-2-2-2-2-2-2000022-222-200000000002i−2i−2i2i−222−22−2−22−i2i2i2−i2i2−i2−i2i2000000000000
χ432222-2-2-2-2-2-2000022-222-20000000000−2i2i2i−2i2−2−22−222−2−i2i2i2−i2i2−i2−i2i2000000000000
χ442222-2-2-2-2-2-2000022-222-20000000000−2i2i2i−2i−222−22−2−22i2−i2−i2i2−i2i2i2−i2000000000000
χ4544-4-44-44-40044-4-40000000000000000000000000000000000000000002i2−2i20000
χ4644-4-44-44-40044-4-4000000000000000000000000000000000000000000−2i22i20000
χ4744-4-44-44-400-4-44400000000000000000000000000000000000000002i2−2i2000000
χ4844-4-44-44-400-4-4440000000000000000000000000000000000000000−2i22i2000000
χ494-44-4-444-4004-44-40000000000000000000000000000000000002i2−2i20000000000
χ504-44-4-444-4004-44-4000000000000000000000000000000000000−2i22i20000000000
χ514-44-4-444-400-44-44000000000000000000000000000000000000002i2−2i200000000
χ524-44-4-444-400-44-4400000000000000000000000000000000000000−2i22i200000000
χ534-4-4444-4-44-400004-400004i−4i004i−4i000000000000000000000000000000000000
χ544-4-4444-4-44-400004-40000−4i4i00−4i4i000000000000000000000000000000000000
χ554-4-4444-4-4-440000-4400004i−4i00−4i4i000000000000000000000000000000000000
χ564-4-4444-4-4-440000-440000−4i4i004i−4i000000000000000000000000000000000000
χ574-4-44-4-4444-44-4-44-440000004-400000000000000000000000000000000000000
χ584-4-44-4-4444-4-444-4-44000000-4400000000000000000000000000000000000000
χ594-4-44-4-444-444-4-444-4000000-4400000000000000000000000000000000000000
χ604-4-44-4-444-44-444-44-40000004-400000000000000000000000000000000000000
χ6188-8-8-88-88000000000000000000000000000000000000000000000000000000
χ628-88-88-8-88000000000000000000000000000000000000000000000000000000

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