Finite Group Databasebeta

← Group #296759

Character table — Group #296759

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444488888888888888888888888888161616161616161616163232
order12222222444444444444444444444422444444448888888888888888224444888844
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11-111-1-111-1-11-1
χ611111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-111-1-1-1-111-11
χ711111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-1-111-1-111-11
χ811111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-1-11111-1-11-1
χ91111111111111111-1-1-1-11111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111
χ101111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1
χ111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ121111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-111-1-1111-1
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-11111-1-1-11
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1111-1-111-1-1-11
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1111-1-1-1-1111-1
χ172222222222-2-2-222-2000022-2-222-2-2-2-200002222000000000000000000-2-20000000000
χ182222222222-2-2-222-2000022-2-222-2-2-2-20000-2-2-2-2000000000000000000220000000000
χ192222222222-2-2-222-20000-2-222-2-222-2-2000022-2-2000000000000000000-220000000000
χ202222222222-2-2-222-20000-2-222-2-222-2-20000-2-2220000000000000000002-20000000000
χ2122222222-2-2222-2-22222222-2-2-2-222-2-222-2-20000-2-20000000000000000000000000000
χ2222222222-2-2222-2-222222-2-22222-2-2-2-2-2-2220000-2-20000000000000000000000000000
χ2322222222-2-2222-2-22-2-2-2-222-2-2-2-222-2-2-2-2220000220000000000000000000000000000
χ2422222222-2-2222-2-22-2-2-2-2-2-22222-2-2-2-222-2-20000220000000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-200002222-2-2-2-22200000000000000000000000000002-22-2000000
χ2622222222-2-2-2-2-2-2-2-200002222-2-2-2-2220000000000000000000000000000-22-22000000
χ2722222222-2-2-2-2-2-2-2-20000-2-2-2-222222200000000000000000000000000002-2-22000000
χ2822222222-2-2-2-2-2-2-2-20000-2-2-2-22222220000000000000000000000000000-222-2000000
χ29222-22-2-2-22-22-2-22-222i2i−2i−2i000000002-2000000002i−2i00002i2i−2i−2i000022-2-2000000000000
χ30222-22-2-2-22-22-2-22-222i2i−2i−2i000000002-2000000002i−2i0000−2i−2i2i2i0000-2-222000000000000
χ31222-22-2-2-22-22-2-22-22−2i−2i2i2i000000002-200000000−2i2i00002i2i−2i−2i0000-2-222000000000000
χ32222-22-2-2-22-22-2-22-22−2i−2i2i2i000000002-200000000−2i2i0000−2i−2i2i2i000022-2-2000000000000
χ33222-22-2-2-2-222-2-2-2222i2i−2i−2i00000000-2200000000−2i2i2i2i−2i−2i000022-2-20000000000000000
χ34222-22-2-2-2-222-2-2-2222i2i−2i−2i00000000-2200000000−2i2i−2i−2i2i2i0000-2-2220000000000000000
χ35222-22-2-2-2-222-2-2-222−2i−2i2i2i00000000-22000000002i−2i2i2i−2i−2i0000-2-2220000000000000000
χ36222-22-2-2-2-222-2-2-222−2i−2i2i2i00000000-22000000002i−2i−2i−2i2i2i000022-2-20000000000000000
χ372-2-222-2-220022-200-22-22-22-200002-2002-200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000
χ382-2-222-2-220022-200-22-22-22-200002-2002-200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000
χ392-2-222-2-220022-200-22-22-2-220000-2200-2200000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2000000000000
χ402-2-222-2-220022-200-22-22-2-220000-2200-2200000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2000000000000
χ412-2-222-2-220022-200-2-22-222-200002-200-2200000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2000000000000
χ422-2-222-2-220022-200-2-22-222-200002-200-2200000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2000000000000
χ432-2-222-2-220022-200-2-22-22-220000-22002-200000000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2000000000000
χ442-2-222-2-220022-200-2-22-22-220000-22002-200000000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2000000000000
χ452-2-2-2222-2002-2200-22i−2i−2i2i002-22-20000002i−2i0000002−2−222−2−22−i2i2i2−i2−i2i2i2−i2000000000000
χ462-2-2-2222-2002-2200-22i−2i−2i2i002-22-20000002i−2i000000−222−2−222−2i2−i2−i2i2i2−i2−i2i2000000000000
χ472-2-2-2222-2002-2200-22i−2i−2i2i00-22-22000000−2i2i0000002−2−22−222−2−i2i2i2−i2i2−i2−i2i2000000000000
χ482-2-2-2222-2002-2200-22i−2i−2i2i00-22-22000000−2i2i000000−222−22−2−22i2−i2−i2i2−i2i2i2−i2000000000000
χ492-2-2-2222-2002-2200-2−2i2i2i−2i002-22-2000000−2i2i0000002−2−222−2−22i2−i2−i2i2i2−i2−i2i2000000000000
χ502-2-2-2222-2002-2200-2−2i2i2i−2i002-22-2000000−2i2i000000−222−2−222−2−i2i2i2−i2−i2i2i2−i2000000000000
χ512-2-2-2222-2002-2200-2−2i2i2i−2i00-22-220000002i−2i0000002−2−22−222−2i2−i2−i2i2−i2i2i2−i2000000000000
χ522-2-2-2222-2002-2200-2−2i2i2i−2i00-22-220000002i−2i000000−222−22−2−22−i2i2i2−i2i2−i2−i2i2000000000000
χ53444-44-4-4-44-4-4444-4-4000000000000-4400000000000000000000000000000000000000
χ54444-44-4-4-4-44-444-44-40000000000004-400000000000000000000000000000000000000
χ554-444-4-44-44-4000-440000000000000000000004i−4i000000000000000000000000000000
χ564-444-4-44-44-4000-44000000000000000000000−4i4i000000000000000000000000000000
χ574-444-4-44-4-440004-400000000000000000004i−4i00000000000000000000000000000000
χ584-444-4-44-4-440004-40000000000000000000−4i4i00000000000000000000000000000000
χ594-44-4-44-4444000-4-4000000000000000000000000000000000000000000000002i2−2i20000
χ604-44-4-44-4444000-4-400000000000000000000000000000000000000000000000−2i22i20000
χ614-44-4-44-44-4-400044000000000000000000000000000000000000000000000000022−2200
χ624-44-4-44-44-4-4000440000000000000000000000000000000000000000000000000−222200
χ634-4-444-4-4400-4-4400400004-40000-440000000000000000000000000000000000000000
χ644-4-444-4-4400-4-440040000-4400004-40000000000000000000000000000000000000000
χ654-4-4-4444-400-44-40040000004-4-44000000000000000000000000000000000000000000
χ664-4-4-4444-400-44-4004000000-444-4000000000000000000000000000000000000000000
χ6788-88-88-8-8000000000000000000000000000000000000000000000000000000000000
χ6888-8-8-8-888000000000000000000000000000000000000000000000000000000000000

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