Finite Group Databasebeta

← Group #19670

Character table — Group #19670

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111122222222222222222244444444444444444444441616161616161616
order1222444444444488888888248888888888888888888822244444
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11
χ511111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-111-11-1-1
χ611111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-11-111
χ711111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-11
χ811111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-11-1
χ91111-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1-1-111
χ101111-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1111-1-1
χ111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-111-11-1
χ121111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-11-11
χ131111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-11-1-1-1
χ141111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-11-1111
χ151111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-11-1-1-11
χ161111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11-1111-1
χ172222222222-2-2-2-22222-2-2-2-2-2-222-2-2000000000000000000000000
χ182222222222-2-2-2-2-2-2-2-22222-2-2-2-222000000000000000000000000
χ19222222-2-2-2-222-2-2000000002-200000000000022-2-222-2-200000000
χ20222222-2-2-2-222-2-2000000002-2000000000000-2-222-2-22200000000
χ21222222-2-2-2-2-2-22200000000-22000022-2-222-2-20000000000000000
χ22222222-2-2-2-2-2-22200000000-220000-2-222-2-2220000000000000000
χ232222-2-222-2-222-2-200000000-2200000000000022-2-2-2-22200000000
χ242222-2-222-2-222-2-200000000-22000000000000-2-22222-2-200000000
χ252222-2-222-2-2-2-222000000002-2000022-2-2-2-2220000000000000000
χ262222-2-222-2-2-2-222000000002-20000-2-22222-2-20000000000000000
χ272222-2-2-2-222-2-2-2-22222-2-2-2-222-2-222000000000000000000000000
χ282222-2-2-2-222-2-2-2-2-2-2-2-222222222-2-2000000000000000000000000
χ2922-2-22i−2i2i−2i2-2000000002i2i−2i−2i00002-22−22−2i2−i2i2−i2i2−i2i2−i22−22−200000000
χ3022-2-22i−2i2i−2i2-2000000002i2i−2i−2i00002-2−22−22−i2i2−i2i2−i2i2−i2i2−22−2200000000
χ3122-2-22i−2i2i−2i2-200000000−2i−2i2i2i0000-222−22−2i2−i2i2−i2−i2i2−i2i2−22−2200000000
χ3222-2-22i−2i2i−2i2-200000000−2i−2i2i2i0000-22−22−22−i2i2−i2i2i2−i2i2−i22−22−200000000
χ3322-2-22i−2i−2i2i-2200002i2i−2i−2i0000002-2002−2−22i2−i2−i2i2i2−i2−i2i22−2−2200000000
χ3422-2-22i−2i−2i2i-2200002i2i−2i−2i0000002-200−222−2−i2i2i2−i2−i2i2i2−i2−222−200000000
χ3522-2-22i−2i−2i2i-220000−2i−2i2i2i000000-22002−2−22i2−i2−i2i2−i2i2i2−i2−222−200000000
χ3622-2-22i−2i−2i2i-220000−2i−2i2i2i000000-2200−222−2−i2i2i2−i2i2−i2−i2i22−2−2200000000
χ3722-2-2−2i2i2i−2i-2200002i2i−2i−2i000000-22002−2−22−i2i2i2−i2i2−i2−i2i2−222−200000000
χ3822-2-2−2i2i2i−2i-2200002i2i−2i−2i000000-2200−222−2i2−i2−i2i2−i2i2i2−i22−2−2200000000
χ3922-2-2−2i2i2i−2i-220000−2i−2i2i2i0000002-2002−2−22−i2i2i2−i2−i2i2i2−i22−2−2200000000
χ4022-2-2−2i2i2i−2i-220000−2i−2i2i2i0000002-200−222−2i2−i2−i2i2i2−i2−i2i2−222−200000000
χ4122-2-2−2i2i−2i2i2-2000000002i2i−2i−2i0000-222−22−2−i2i2−i2i2i2−i2i2−i2−22−2200000000
χ4222-2-2−2i2i−2i2i2-2000000002i2i−2i−2i0000-22−22−22i2−i2i2−i2−i2i2−i2i22−22−200000000
χ4322-2-2−2i2i−2i2i2-200000000−2i−2i2i2i00002-22−22−2−i2i2−i2i2−i2i2−i2i22−22−200000000
χ4422-2-2−2i2i−2i2i2-200000000−2i−2i2i2i00002-2−22−22i2−i2i2−i2i2−i2i2−i2−22−2200000000
χ454-44-40000004-4002i2−2i22i2−2i22i2−2i22i2−2i2000000000000000000000000000000
χ464-44-40000004-400−2i22i2−2i22i2−2i22i2−2i22i2000000000000000000000000000000
χ474-44-4000000-44002i2−2i22i2−2i2−2i22i2−2i22i2000000000000000000000000000000
χ484-44-4000000-4400−2i22i2−2i22i22i2−2i22i2−2i2000000000000000000000000000000
χ494-4-44000000004-422−22−222222−22−2222000000000000000000000000000000
χ504-4-44000000004-4−222222−22−222222−22000000000000000000000000000000
χ514-4-4400000000-4422−22−2222−222222−22000000000000000000000000000000
χ524-4-4400000000-44−222222−2222−22−2222000000000000000000000000000000

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