Finite Group Databasebeta

← Group #281663

Character table — Group #281663

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222444444444444444444444444888888888888888881616161616161616161616163232
order12222222444444442244444488888888888888882244444448888888844448888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1-1-1-1-1-111111111-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ91111111111111111-1-1-1-111-1-11111-1-1-1-111111111-1-11111-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111-11
χ101111111111111111-1-1-1-111-1-11111-1-1-1-111111111-1-11111-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-11-1
χ111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1111111-1-111-1-111-1-1-11
χ121111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-11111-1-111-1-111-1-1111-1
χ131111111111111111-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-11-1
χ141111111111111111-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-11111-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111111-1-1-1-1-1-111111-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-1111111-1-1-1-1-11
χ172222222222-2-2-22-222222-2-2-2-200000000000000002222-2-2-2-2-20000000000000000000000
χ182222222222-2-2-22-222222-2-2-2-20000000000000000-2-2-2-222-2220000000000000000000000
χ192222222222-2-2-22-22-2-2-2-2-2-222000000000000000022-2-2222-2-20000000000000000000000
χ202222222222-2-2-22-22-2-2-2-2-2-2220000000000000000-2-222-2-22220000000000000000000000
χ2122222222-2-2222-22-222-2-2-2-2222222222200000000000000-200-2-2-2-2000000000000000000
χ2222222222-2-2222-22-222-2-2-2-222-2-2-2-2-2-2-2-200000000000000-2002222000000000000000000
χ2322222222-2-2222-22-2-2-222-2-2-2-22222-2-2-2-200000000000000200-2-222000000000000000000
χ2422222222-2-2222-22-2-2-222-2-2-2-2-2-2-2-222220000000000000020022-2-2000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-222-2-2000000002i2i2i2i−2i−2i−2i−2i00000020000002i2i−2i−2i00000000000000
χ2622222222-2-2-2-2-2-2-2-222-2-222-2-200000000−2i−2i−2i−2i2i2i2i2i0000002000000−2i−2i2i2i00000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222222000000002i2i2i2i−2i−2i−2i−2i000000-2000000−2i−2i2i2i00000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222222200000000−2i−2i−2i−2i2i2i2i2i000000-20000002i2i−2i−2i00000000000000
χ292222-2-2-2-222000-20-22-22-2000022−2−222−2−222−2−222−2−22-22-2000002−22−22−22−200000000000000
χ302222-2-2-2-222000-20-22-22-2000022−2−222−2−2−2−222−2−222-22-22000002−22−2−22−2200000000000000
χ312222-2-2-2-222000-20-22-22-20000−2−222−2−22222−2−222−2−2-22-2200000−22−222−22−200000000000000
χ322222-2-2-2-222000-20-22-22-20000−2−222−2−222−2−222−2−2222-22-200000−22−22−22−2200000000000000
χ332222-2-2-2-222000-20-2-22-22000022−2−2−2−22222−2−222−2−2-222-2000002−2−22−22−2200000000000000
χ342222-2-2-2-222000-20-2-22-22000022−2−2−2−222−2−222−2−2222-2-22000002−2−222−22−200000000000000
χ352222-2-2-2-222000-20-2-22-220000−2−22222−2−222−2−222−2−22-2-2200000−222−2−22−2200000000000000
χ362222-2-2-2-222000-20-2-22-220000−2−22222−2−2−2−222−2−222-222-200000−222−22−22−200000000000000
χ372222-2-2-2-2-2-20002022-2-22000022−2−222−2−2i2i2−i2−i2−i2−i2i2i200002i−2i02i−2i−22−22i2−i2−i2i200000000000000
χ382222-2-2-2-2-2-20002022-2-22000022−2−222−2−2−i2−i2i2i2i2i2−i2−i20000−2i2i0−2i2i−22−22−i2i2i2−i200000000000000
χ392222-2-2-2-2-2-20002022-2-220000−2−222−2−222i2i2−i2−i2−i2−i2i2i20000−2i2i0−2i2i2−22−2i2−i2−i2i200000000000000
χ402222-2-2-2-2-2-20002022-2-220000−2−222−2−222−i2−i2i2i2i2i2−i2−i200002i−2i02i−2i2−22−2−i2i2i2−i200000000000000
χ412222-2-2-2-2-2-2000202-222-2000022−2−2−2−222i2i2−i2−i2−i2−i2i2i200002i−2i0−2i2i−222−2−i2i2i2−i200000000000000
χ422222-2-2-2-2-2-2000202-222-2000022−2−2−2−222−i2−i2i2i2i2i2−i2−i20000−2i2i02i−2i−222−2i2−i2−i2i200000000000000
χ432222-2-2-2-2-2-2000202-222-20000−2−22222−2−2i2i2−i2−i2−i2−i2i2i20000−2i2i02i−2i2−2−22−i2i2i2−i200000000000000
χ442222-2-2-2-2-2-2000202-222-20000−2−22222−2−2−i2−i2i2i2i2i2−i2−i200002i−2i0−2i2i2−2−22i2−i2−i2i200000000000000
χ452-22-2-2-2222-222-22-2-200002-200000000002i−2i2i−2i2i−2i2i−2i000000000000000002-200002i−2i000000
χ462-22-2-2-2222-222-22-2-200002-200000000002i−2i2i−2i2i−2i2i−2i00000000000000000-220000−2i2i000000
χ472-22-2-2-2222-222-22-2-200002-20000000000−2i2i−2i2i−2i2i−2i2i000000000000000002-20000−2i2i000000
χ482-22-2-2-2222-222-22-2-200002-20000000000−2i2i−2i2i−2i2i−2i2i00000000000000000-2200002i−2i000000
χ492-22-2-2-222-22-2-22-22200002-200000000002-22-2-22-2200000000000000000002-200002-20000
χ502-22-2-2-222-22-2-22-22200002-200000000002-22-2-22-220000000000000000000-220000-220000
χ512-22-2-2-222-22-2-22-22200002-20000000000-22-222-22-200000000000000000002-20000-220000
χ522-22-2-2-222-22-2-22-22200002-20000000000-22-222-22-20000000000000000000-2200002-20000
χ5344-4-4-44-44004-440-400000000000000000000000000000000000000000000002i2−2i200000000
χ5444-4-4-44-44004-440-40000000000000000000000000000000000000000000000−2i22i200000000
χ5544-4-4-44-4400-44-404000000000000000000000000000000000000000000000000000022−2200
χ5644-4-4-44-4400-44-4040000000000000000000000000000000000000000000000000000−222200
χ574-44-444-4-44-4000-40400000000000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000
χ584-44-444-4-44-4000-4040000000000000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000
χ594-44-444-4-4-4400040-4000000000000000022−22−2222−222222−220000000000000000000000000000000
χ604-44-444-4-4-4400040-40000000000000000−222222−2222−22−22220000000000000000000000000000000
χ614-44-4-4-4444-4-4-4444-40000-440000000000000000000000000000000000000000000000000
χ624-44-4-4-444-4444-4-4-440000-440000000000000000000000000000000000000000000000000
χ634-4-444-4-44004-4-40400000000000004-44-4000000000000000000000000000000000000000
χ644-4-444-4-44004-4-4040000000000000-44-44000000000000000000000000000000000000000
χ654-4-444-4-4400-4440-40000000004i−4i4i−4i0000000000000000000000000000000000000000000
χ664-4-444-4-4400-4440-4000000000−4i4i−4i4i0000000000000000000000000000000000000000000
χ674-4-44-444-4000000000000004i−4i2i2−2i2−2i22i222−22−2222000000000000000000000000000000000000000
χ684-4-44-444-4000000000000004i−4i−2i22i22i2−2i2−222222−22000000000000000000000000000000000000000
χ694-4-44-444-400000000000000−4i4i2i2−2i2−2i22i2−222222−22000000000000000000000000000000000000000
χ704-4-44-444-400000000000000−4i4i−2i22i22i2−2i222−22−2222000000000000000000000000000000000000000
χ7188-8-88-88-8000000000000000000000000000000000000000000000000000000000000000

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