Finite Group Databasebeta

← Group #282155

Character table — Group #282155

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222222244444444444444488888888888888888888888822222444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111
χ5111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-11111-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1111-1-1-1-111
χ8111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911111111-1-1-1-111111111-1-1-1-111-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1-1-1111-1-1-11
χ1011111111-1-1-1-111111111-1-1-1-111-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-11-1-1111-1
χ1111111111-1-1-1-111111111-1-1-1-111-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11111-111-1-11-1
χ1211111111-1-1-1-111111111-1-1-1-111-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-111-1-1-111-11
χ1311111111-1-1-1-111111111-1-1-1-111-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-1-111-1-1-1111-1
χ1411111111-1-1-1-111111111-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-11111-111-1-1-11
χ1511111111-1-1-1-111111111-1-1-1-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-111-1-11-1-111-11
χ1611111111-1-1-1-111111111-1-1-1-111-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111-1-1-1-1111-1-11-1
χ1722222222222222-2-2-22-2222-2-2-2-2-2000000000000000000000000200002-2-2000000
χ1822222222222222-2-2-22-2222-2-2-2-2-2000000000000000000000000-20000-222000000
χ19222222222222-2-2222-22-2-2-222-2-2-222-2-222-2-2000000000000000000000000000000
χ20222222222222-2-2222-22-2-2-222-2-2-2-2-222-2-222000000000000000000000000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-2-2-2222000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000
χ22222222222222-2-2-2-2-2-2-2-2-2-2-2-222200000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000
χ2322222222-2-2-2-222-2-2-22-22-2-222-2-2200000000000000000000000020000-22-2000000
χ2422222222-2-2-2-222-2-2-22-22-2-222-2-22000000000000000000000000-200002-22000000
χ2522222222-2-2-2-2-2-2222-22-222-2-2-2-2222-2-2-2-222000000000000000000000000000000
χ2622222222-2-2-2-2-2-2222-22-222-2-2-2-22-2-22222-2-2000000000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-200000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000
χ292-222-22-2-222-2-20022-20-20002-2000002i−2i002i−2i00000000i2i2−i2−i2i2i2−i2−i2000000002−22−200
χ302-222-22-2-222-2-20022-20-20002-2000002i−2i002i−2i00000000−i2−i2i2i2−i2−i2i2i200000000−22−2200
χ312-222-22-2-222-2-20022-20-20002-200000−2i2i00−2i2i00000000i2i2−i2−i2i2i2−i2−i200000000−22−2200
χ322-222-22-2-222-2-20022-20-20002-200000−2i2i00−2i2i00000000−i2−i2i2i2−i2−i2i2i2000000002−22−200
χ332-222-22-2-2-2-2220022-20-2000-22000002i−2i00−2i2i00000000i2i2−i2−i2−i2−i2i2i2000000002−2−2200
χ342-222-22-2-2-2-2220022-20-2000-22000002i−2i00−2i2i00000000−i2−i2i2i2i2i2−i2−i200000000−222−200
χ352-222-22-2-2-2-2220022-20-2000-2200000−2i2i002i−2i00000000i2i2−i2−i2−i2−i2i2i200000000−222−200
χ362-222-22-2-2-2-2220022-20-2000-2200000−2i2i002i−2i00000000−i2−i2i2i2i2i2−i2−i2000000002−2−2200
χ372-2-2-222-2200002-22-222-2-200002-200000000000002i−2i2i−2i00002i−2i2i−2i02-200000000000
χ382-2-2-222-2200002-22-222-2-200002-200000000000002i−2i2i−2i0000−2i2i−2i2i0-2200000000000
χ392-2-2-222-2200002-22-222-2-200002-20000000000000−2i2i−2i2i00002i−2i2i−2i0-2200000000000
χ402-2-2-222-2200002-22-222-2-200002-20000000000000−2i2i−2i2i0000−2i2i−2i2i02-200000000000
χ412-2-2-222-220000-22-22-2-22200002-200000000000002-2-222-22-200000002-2000000000
χ422-2-2-222-220000-22-22-2-22200002-200000000000002-2-22-22-220000000-22000000000
χ432-2-2-222-220000-22-22-2-22200002-20000000000000-222-22-22-20000000-22000000000
χ442-2-2-222-220000-22-22-2-22200002-20000000000000-222-2-22-2200000002-2000000000
χ45444-44-4-4-44-44-444000-40-44-40000000000000000000000000000000000000000000
χ46444-44-4-4-44-44-4-4-4000404-440000000000000000000000000000000000000000000
χ47444-44-4-4-4-44-4444000-40-4-440000000000000000000000000000000000000000000
χ48444-44-4-4-4-44-44-4-40004044-40000000000000000000000000000000000000000000
χ4944-4-4-444-40000004-4-404000000000000000000000000000022−22−222200000000000000
χ5044-4-4-444-40000004-4-4040000000000000000000000000000−222222−2200000000000000
χ5144-4-4-444-4000000-4440-40000000000000000000000002i2−2i2−2i22i2000000000000000000
χ5244-4-4-444-4000000-4440-4000000000000000000000000−2i22i22i2−2i2000000000000000000
χ534-444-44-4-444-4-400-4-4404000-4400000000000000000000000000000000000000000
χ544-444-44-4-4-4-44400-4-44040004-400000000000000000000000000000000000000000
χ554-44-4-4-4444-4-4400000000000000022−220022−2200000000000000000000000000000000
χ564-44-4-4-4444-4-44000000000000000−222200−222200000000000000000000000000000000
χ574-44-4-4-444-444-400000000000000022−2200−222200000000000000000000000000000000
χ584-44-4-4-444-444-4000000000000000−22220022−2200000000000000000000000000000000
χ594-4-444-44-400004-4000-40400000000000000022−2222−2200000000000000000000000000
χ604-4-444-44-400004-4000-404000000000000000−2222−222200000000000000000000000000
χ614-4-444-44-40000-4400040-40000000000000002i2−2i2−2i22i200000000000000000000000000
χ624-4-444-44-40000-4400040-4000000000000000−2i22i22i2−2i200000000000000000000000000
χ634-4-4-444-4400004-4-44-444-40000-44000000000000000000000000000000000000000
χ644-4-4-444-440000-444-44-4-440000-44000000000000000000000000000000000000000
χ6588-88-8-8-88000000000000000000000000000000000000000000000000000000000

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