Finite Group Databasebeta

← Group #33708

Character table — Group #33708

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111122222222222222222244444444444444444444441616161616161616
order12222244444444888888884488881616161616161616161616161616161622444444
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111-1-1-1-111-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-11-11-111-1-1
χ611111111-1-1-1-111-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111
χ711111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-111
χ811111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-11-1111-1-1
χ91111-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1-111-11-1
χ101111-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-11-11
χ111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-11-11-11
χ121111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-11-11-1
χ131111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1111111-1-11-1-11
χ141111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11111-1-111-111-1
χ151111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-111-1-1-111-1
χ161111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-1-1-1111-1-11
χ1722222222222222-2-2-2-2-2-2-2-222-2-2-2-2000000000000000000000000
χ1822222222-2-2-2-2222222-2-2-2-2-2-2-2-222000000000000000000000000
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
χ272222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ282222-2-2-2-2-2-2-2-2222222-2-2-2-22222-2-2000000000000000000000000
χ2922-2-22-22-200002-2000022-2-2002-200000000002i−2i2i−2i2i−2i2i−2i00000000
χ3022-2-22-22-200002-2000022-2-2002-20000000000−2i2i−2i2i−2i2i−2i2i00000000
χ3122-2-22-22-200002-20000-2-22200-22002i−2i2i−2i2i−2i2i−2i0000000000000000
χ3222-2-22-22-200002-20000-2-22200-2200−2i2i−2i2i−2i2i−2i2i0000000000000000
χ3322-2-22-2-220000-2222-2-2000000002-2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i200000000
χ3422-2-22-2-220000-2222-2-2000000002-2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i200000000
χ3522-2-22-2-220000-22-2-22200000000-22i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i200000000
χ3622-2-22-2-220000-22-2-22200000000-22−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i200000000
χ3722-2-2-222-20000-2222-2-200000000-22i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i200000000
χ3822-2-2-222-20000-2222-2-200000000-22−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i200000000
χ3922-2-2-222-20000-22-2-222000000002-2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i200000000
χ4022-2-2-222-20000-22-2-222000000002-2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i200000000
χ4122-2-2-22-2200002-2000022-2-200-2200000000002i−2i2i−2i−2i2i−2i2i00000000
χ4222-2-2-22-2200002-2000022-2-200-220000000000−2i2i−2i2i2i−2i2i−2i00000000
χ4322-2-2-22-2200002-20000-2-222002-2002i−2i2i−2i−2i2i−2i2i0000000000000000
χ4422-2-2-22-2200002-20000-2-222002-200−2i2i−2i2i2i−2i2i−2i0000000000000000
χ454-44-40000004i−4i002i2−2i22i2−2i222−2222−22000000000000000000000000000000
χ464-44-40000004i−4i00−2i22i2−2i22i2−2222−2222000000000000000000000000000000
χ474-44-4000000−4i4i002i2−2i22i2−2i2−2222−2222000000000000000000000000000000
χ484-44-4000000−4i4i00−2i22i2−2i22i222−2222−22000000000000000000000000000000
χ494-4-4400004i−4i00002i2−2i2−2i22i222−22−2222000000000000000000000000000000
χ504-4-4400004i−4i0000−2i22i22i2−2i2−222222−22000000000000000000000000000000
χ514-4-440000−4i4i00002i2−2i2−2i22i2−222222−22000000000000000000000000000000
χ524-4-440000−4i4i0000−2i22i22i2−2i222−22−2222000000000000000000000000000000

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