Finite Group Databasebeta

← Group #499196

Character table — Group #499196

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size111122222244448888888888881616161616161616111122222244448888888888881616161616161616
order122222444488884488161616161616161644444444222222444488884488161616161616161644444444
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-11111-1-1-1-11-11-111-1-111111111111111-1-1-1-11111-1-1-1-11-11-111-1-1
χ611111111111111-1-1-1-11111-1-1-1-1-11-11-1-11111111111111111-1-1-1-11111-1-1-1-1-11-11-1-111
χ711111111111111-1-1-1-1-1-1-1-111111-11-1-1-11111111111111111-1-1-1-1-1-1-1-111111-11-1-1-111
χ811111111111111-1-1-1-1-1-1-1-11111-11-1111-1-111111111111111-1-1-1-1-1-1-1-11111-11-1111-1-1
χ92222222222-2-2-2-222-2-200000000000000002222222222-2-2-2-222-2-20000000000000000
χ102222222222-2-2-2-2-2-22200000000000000002222222222-2-2-2-2-2-2220000000000000000
χ11222222-2-2-2-200002-20022−2−222−2−200000000222222-2-2-2-200002-20022−2−222−2−200000000
χ12222222-2-2-2-200002-200−2−222−2−22200000000222222-2-2-2-200002-200−2−222−2−22200000000
χ13222222-2-2-2-20000-220022−2−2−2−22200000000222222-2-2-2-20000-220022−2−2−2−22200000000
χ14222222-2-2-2-20000-2200−2−22222−2−200000000222222-2-2-2-20000-2200−2−22222−2−200000000
χ152222-2-2-2-2222-22-200000000000020-2000002222-2-2-2-2222-22-200000000000020-200000
χ162222-2-2-2-2222-22-2000000000000-202000002222-2-2-2-2222-22-2000000000000-20200000
χ172222-2-2-2-222-22-22000000000000020-200002222-2-2-2-222-22-22000000000000020-20000
χ182222-2-2-2-222-22-220000000000000-20200002222-2-2-2-222-22-220000000000000-2020000
χ1922-2-22-22-22-20000002-22−22−22−22−20000000022-2-22-22-22-20000002-22−22−22−22−200000000
χ2022-2-22-22-22-20000002-2−22−22−22−220000000022-2-22-22-22-20000002-2−22−22−22−2200000000
χ2122-2-22-22-22-2000000-222−22−2−22−220000000022-2-22-22-22-2000000-222−22−2−22−2200000000
χ2222-2-22-22-22-2000000-22−22−222−22−20000000022-2-22-22-22-2000000-22−22−222−22−200000000
χ2322-2-22-2-22-222-2-22000000002-2-220000000022-2-22-2-22-222-2-22000000002-2-2200000000
χ2422-2-22-2-22-222-2-2200000000-222-20000000022-2-22-2-22-222-2-2200000000-222-200000000
χ2522-2-22-2-22-22-222-200002-2-2200000000000022-2-22-2-22-22-222-200002-2-22000000000000
χ2622-2-22-2-22-22-222-20000-222-200000000000022-2-22-2-22-22-222-20000-222-2000000000000
χ2722-2-2-222-2-2222-2-20000000000000000002-222-2-2-222-2-2222-2-20000000000000000002-2
χ2822-2-2-222-2-2222-2-2000000000000000000-2222-2-2-222-2-2222-2-2000000000000000000-22
χ2922-2-2-222-2-22-2-22200000000000000002i−2i0022-2-2-222-2-22-2-22200000000000000002i−2i00
χ3022-2-2-222-2-22-2-2220000000000000000−2i2i0022-2-2-222-2-22-2-2220000000000000000−2i2i00
χ314444-4-444-4-40000000000000000000000004444-4-444-4-4000000000000000000000000
χ3244-4-4-44-444-400000000000000000000000044-4-4-44-444-4000000000000000000000000
χ338-88-80000000000000000000000000000008-88-8000000000000000000000000000000
χ348-8-880000000000000000000000000000008-8-88000000000000000000000000000000
χ351111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ37111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ38111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ3911111111111111-1-1-1-11111-1-1-1-11-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-111
χ4011111111111111-1-1-1-11111-1-1-1-1-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-111-1-1
χ4111111111111111-1-1-1-1-1-1-1-111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1111-1-1
χ4211111111111111-1-1-1-1-1-1-1-11111-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11-1-1-111
χ432222222222-2-2-2-222-2-20000000000000000-2-2-2-2-2-2-2-2-2-22222-2-2220000000000000000
χ442222222222-2-2-2-2-2-2220000000000000000-2-2-2-2-2-2-2-2-2-2222222-2-20000000000000000
χ45222222-2-2-2-200002-20022−2−222−2−200000000-2-2-2-2-2-222220000-2200−2−222−2−22200000000
χ46222222-2-2-2-200002-200−2−222−2−22200000000-2-2-2-2-2-222220000-220022−2−222−2−200000000
χ47222222-2-2-2-20000-220022−2−2−2−22200000000-2-2-2-2-2-2222200002-200−2−22222−2−200000000
χ48222222-2-2-2-20000-2200−2−22222−2−200000000-2-2-2-2-2-2222200002-20022−2−2−2−22200000000
χ492222-2-2-2-2222-22-200000000000020-200000-2-2-2-22222-2-2-22-22000000000000-20200000
χ502222-2-2-2-2222-22-2000000000000-20200000-2-2-2-22222-2-2-22-2200000000000020-200000
χ512222-2-2-2-222-22-22000000000000020-20000-2-2-2-22222-2-22-22-20000000000000-2020000
χ522222-2-2-2-222-22-220000000000000-2020000-2-2-2-22222-2-22-22-2000000000000020-20000
χ5322-2-22-22-22-20000002-22−22−22−22−200000000-2-222-22-22-22000000-22−22−22−22−2200000000
χ5422-2-22-22-22-20000002-2−22−22−22−2200000000-2-222-22-22-22000000-222−22−22−22−200000000
χ5522-2-22-22-22-2000000-222−22−2−22−2200000000-2-222-22-22-220000002-2−22−222−22−200000000
χ5622-2-22-22-22-2000000-22−22−222−22−200000000-2-222-22-22-220000002-22−22−2−22−2200000000
χ5722-2-22-2-22-222-2-22000000002-2-2200000000-2-222-222-22-2-222-200000000-222-200000000
χ5822-2-22-2-22-222-2-2200000000-222-200000000-2-222-222-22-2-222-2000000002-2-2200000000
χ5922-2-22-2-22-22-222-200002-2-22000000000000-2-222-222-22-22-2-220000-222-2000000000000
χ6022-2-22-2-22-22-222-20000-222-2000000000000-2-222-222-22-22-2-2200002-2-22000000000000
χ6122-2-2-222-2-2222-2-20000000000000000002-2-2-2222-2-222-2-2-222000000000000000000-22
χ6222-2-2-222-2-2222-2-2000000000000000000-22-2-2222-2-222-2-2-2220000000000000000002-2
χ6322-2-2-222-2-22-2-22200000000000000002i−2i00-2-2222-2-222-222-2-20000000000000000−2i2i00
χ6422-2-2-222-2-22-2-2220000000000000000−2i2i00-2-2222-2-222-222-2-200000000000000002i−2i00
χ654444-4-444-4-4000000000000000000000000-4-4-4-444-4-444000000000000000000000000
χ6644-4-4-44-444-4000000000000000000000000-4-4444-44-4-44000000000000000000000000
χ678-88-8000000000000000000000000000000-88-88000000000000000000000000000000
χ688-8-88000000000000000000000000000000-888-8000000000000000000000000000000

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