Finite Group Databasebeta

← Group #28552

Character table — Group #28552

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11111111222222222222222244444444444444444444448888888816161616
order1222222244444444888888882222444444888888888888444444442244
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ61111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ71111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-11
χ81111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-1
χ91111111111-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11-1-11
χ101111111111-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-111-1
χ111111111111-1-1-1-11111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-111-1
χ121111111111-1-1-1-11111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1111-1-11
χ131111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-111-1-1-1-11111-1-1
χ141111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-111
χ151111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-111-1-111
χ161111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-11111-1-111-1-1
χ1722222222-2-22222-2-200000000-2-222-2-2-2-222000000000000000000000000
χ1822222222-2-22222-2-200000000-2-2-2-22222-2-2000000000000000000000000
χ1922222222-2-2-2-2-2-2-2-200000000222222-2-2-2-2000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-20000000022-2-2-2-22222000000000000000000000000
χ212222-2-2-2-2002i2i−2i−2i00i2i2i2i2−i2−i2−i2−i200002-22i−2i00i2i2−i2−i222−2−222−2−2000000000000
χ222222-2-2-2-2002i2i−2i−2i00i2i2i2i2−i2−i2−i2−i20000-22−2i2i00−i2−i2i2i222−2−2−2−222000000000000
χ232222-2-2-2-2002i2i−2i−2i00−i2−i2−i2−i2i2i2i2i200002-22i−2i00−i2−i2i2i2−2−222−2−222000000000000
χ242222-2-2-2-2002i2i−2i−2i00−i2−i2−i2−i2i2i2i2i20000-22−2i2i00i2i2−i2−i2−2−22222−2−2000000000000
χ252222-2-2-2-200−2i−2i2i2i00i2i2i2i2−i2−i2−i2−i200002-2−2i2i00i2i2−i2−i2−2−222−2−222000000000000
χ262222-2-2-2-200−2i−2i2i2i00i2i2i2i2−i2−i2−i2−i20000-222i−2i00−i2−i2i2i2−2−22222−2−2000000000000
χ272222-2-2-2-200−2i−2i2i2i00−i2−i2−i2−i2i2i2i2i200002-2−2i2i00−i2−i2i2i222−2−222−2−2000000000000
χ282222-2-2-2-200−2i−2i2i2i00−i2−i2−i2−i2i2i2i2i20000-222i−2i00i2i2−i2−i222−2−2−2−222000000000000
χ2922-2-222-2-2002i−2i2i−2i00i2i2−i2−i2i2i2−i2−i2002-200002i−2i2−22−22−22−2i2−i2i2−i2000000000000
χ3022-2-222-2-2002i−2i2i−2i00i2i2−i2−i2i2i2−i2−i200-220000−2i2i−22−222−22−2−i2i2−i2i2000000000000
χ3122-2-222-2-2002i−2i2i−2i00−i2−i2i2i2−i2−i2i2i2002-200002i−2i−22−22−22−22−i2i2−i2i2000000000000
χ3222-2-222-2-2002i−2i2i−2i00−i2−i2i2i2−i2−i2i2i200-220000−2i2i2−22−2−22−22i2−i2i2−i2000000000000
χ3322-2-222-2-200−2i2i−2i2i00i2i2−i2−i2i2i2−i2−i2002-20000−2i2i−22−22−22−22i2−i2i2−i2000000000000
χ3422-2-222-2-200−2i2i−2i2i00i2i2−i2−i2i2i2−i2−i200-2200002i−2i2−22−2−22−22−i2i2−i2i2000000000000
χ3522-2-222-2-200−2i2i−2i2i00−i2−i2i2i2−i2−i2i2i2002-20000−2i2i2−22−22−22−2−i2i2−i2i2000000000000
χ3622-2-222-2-200−2i2i−2i2i00−i2−i2i2i2−i2−i2i2i200-2200002i−2i−22−222−22−2i2−i2i2−i2000000000000
χ3722-2-2-2-222222-2-22-2-2000000002-2000000002i−2i−2i2i0000−2i2i2i−2i000000000000
χ3822-2-2-2-222222-2-22-2-2000000002-200000000−2i2i2i−2i00002i−2i−2i2i000000000000
χ3922-2-2-2-22222-222-2-2-200000000-22000000002i−2i−2i2i00002i−2i−2i2i000000000000
χ4022-2-2-2-22222-222-2-2-200000000-2200000000−2i2i2i−2i0000−2i2i2i−2i000000000000
χ4122-2-2-2-222-2-22-2-222222-2-2-2-222-220000000000002-2-220000000000000000
χ4222-2-2-2-222-2-22-2-2222-2-22222-2-2-22000000000000-222-20000000000000000
χ4322-2-2-2-222-2-2-222-22222-2-2-2-2222-2000000000000-222-20000000000000000
χ4422-2-2-2-222-2-2-222-222-2-22222-2-22-20000000000002-2-220000000000000000
χ452-22-22-22-22-200002-22i−2i2i−2i2i−2i2i−2i0000000000000000000000002i−2i002-20000
χ462-22-22-22-22-200002-22i−2i2i−2i2i−2i2i−2i000000000000000000000000−2i2i00-220000
χ472-22-22-22-22-200002-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000002i−2i00-220000
χ482-22-22-22-22-200002-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000−2i2i002-20000
χ492-2-22-222-2-2200002-22i−2i−2i2i−2i2i2i−2i00000000000000000000002-2002i−2i000000
χ502-2-22-222-2-2200002-22i−2i−2i2i−2i2i2i−2i0000000000000000000000-2200−2i2i000000
χ512-2-22-222-2-2200002-2−2i2i2i−2i2i−2i−2i2i00000000000000000000002-200−2i2i000000
χ522-2-22-222-2-2200002-2−2i2i2i−2i2i−2i−2i2i0000000000000000000000-22002i−2i000000
χ534-44-44-44-4-440000-44000000000000000000000000000000000000000000
χ544-44-4-44-440000000022−2222−22−2222−22220000000000000000000000000000000000
χ554-44-4-44-4400000000−2222−222222−2222−220000000000000000000000000000000000
χ564-4-444-4-440000000022−22−222222−22−22220000000000000000000000000000000000
χ574-4-444-4-4400000000−222222−22−222222−220000000000000000000000000000000000
χ584-4-44-444-44-40000-44000000000000000000000000000000000000000000

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