Finite Group Databasebeta

← Group #33748

Character table — Group #33748

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111122222222222222222244444444444444444444441616161616161616
order12224444444444888888882488881616161616161616161616161616161622224444
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ511111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ811111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ91111-1-1-1-1111111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-11-11-11-11-1
χ101111-1-1-1-1111111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11
χ111111-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111111-1-111-1-11
χ121111-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-111-1-111-1
χ131111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-111111-11-1-11-11
χ141111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11111-11-111-11-1
χ151111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-11-1-11-111-1
χ161111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-1-111-11-1-11
χ1722222222222222-2-2-2-2-2-2-2-222-2-2-2-2000000000000000000000000
χ1822222222-2-2-2-222-2-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ19222222-2-222-2-2-2-2000000002-2000022−2−222−2−222−2−222−2−200000000
χ20222222-2-222-2-2-2-2000000002-20000−2−222−2−222−2−222−2−22200000000
χ21222222-2-2-2-222-2-200000000-22000022−2−222−2−2−2−222−2−22200000000
χ22222222-2-2-2-222-2-200000000-220000−2−222−2−22222−2−222−2−200000000
χ232222-2-22222-2-2-2-200000000-22000022−2−2−2−22222−2−2−2−22200000000
χ242222-2-22222-2-2-2-200000000-220000−2−22222−2−2−2−22222−2−200000000
χ252222-2-222-2-222-2-2000000002-2000022−2−2−2−222−2−22222−2−200000000
χ262222-2-222-2-222-2-2000000002-20000−2−22222−2−222−2−2−2−22200000000
χ272222-2-2-2-22222222222-2-2-2-2-2-2-2-222000000000000000000000000
χ282222-2-2-2-2-2-2-2-2222222-2-2-2-22222-2-2000000000000000000000000
χ2922-2-200002i−2i2i−2i2-2000022-2-2002i−2i0000002-22-200002i−2i2i−2i00000000
χ3022-2-200002i−2i2i−2i2-2000022-2-2002i−2i000000-22-220000−2i2i−2i2i00000000
χ3122-2-200002i−2i2i−2i2-20000-2-22200−2i2i002-22-200002i−2i2i−2i000000000000
χ3222-2-200002i−2i2i−2i2-20000-2-22200−2i2i00-22-220000−2i2i−2i2i000000000000
χ3322-2-200002i−2i−2i2i-2222-2-2000000002i−2i2−2−222−2−22i2−i2−i2i2i2−i2−i2i200000000
χ3422-2-200002i−2i−2i2i-2222-2-2000000002i−2i−222−2−222−2−i2i2i2−i2−i2i2i2−i200000000
χ3522-2-200002i−2i−2i2i-22-2-22200000000−2i2i2−2−22−222−2i2−i2−i2i2−i2i2i2−i200000000
χ3622-2-200002i−2i−2i2i-22-2-22200000000−2i2i−222−22−2−22−i2i2i2−i2i2−i2−i2i200000000
χ3722-2-20000−2i2i2i−2i-2222-2-200000000−2i2i2−2−222−2−22−i2i2i2−i2−i2i2i2−i200000000
χ3822-2-20000−2i2i2i−2i-2222-2-200000000−2i2i−222−2−222−2i2−i2−i2i2i2−i2−i2i200000000
χ3922-2-20000−2i2i2i−2i-22-2-222000000002i−2i2−2−22−222−2−i2i2i2−i2i2−i2−i2i200000000
χ4022-2-20000−2i2i2i−2i-22-2-222000000002i−2i−222−22−2−22i2−i2−i2i2−i2i2i2−i200000000
χ4122-2-20000−2i2i−2i2i2-2000022-2-200−2i2i0000002-22-20000−2i2i−2i2i00000000
χ4222-2-20000−2i2i−2i2i2-2000022-2-200−2i2i000000-22-2200002i−2i2i−2i00000000
χ4322-2-20000−2i2i−2i2i2-20000-2-222002i−2i002-22-20000−2i2i−2i2i000000000000
χ4422-2-20000−2i2i−2i2i2-20000-2-222002i−2i00-22-2200002i−2i2i−2i000000000000
χ454-44-4004-400000022−2222−2222−2222−22000000000000000000000000000000
χ464-44-4004-4000000−2222−2222−2222−2222000000000000000000000000000000
χ474-44-400-4400000022−2222−22−2222−2222000000000000000000000000000000
χ484-44-400-44000000−2222−222222−2222−22000000000000000000000000000000
χ494-4-444-40000000022−22−222222−22−2222000000000000000000000000000000
χ504-4-444-400000000−222222−22−222222−22000000000000000000000000000000
χ514-4-44-440000000022−22−2222−222222−22000000000000000000000000000000
χ524-4-44-4400000000−222222−2222−22−2222000000000000000000000000000000

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