Finite Group Databasebeta

← Group #29207

Character table — Group #29207

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11111111222222222222222244444444444444444444448888888816161616
order1222222244444444444444444444448888888888888888444444444444
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ811111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ91111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-11-1
χ101111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-11-11
χ111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-11-11
χ121111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111-11-1
χ131111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11
χ141111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1
χ151111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-111-1
χ161111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-11
χ1722222222-2-222222222-2-2-2-2-2-2-2-222-2-20000000000000000000000000000
χ1822222222-2-22222-2-2-2-2-2-2-2-2-2-222-2-2220000000000000000000000000000
χ1922222222-2-2-2-2-2-222222222-2-2-2-2-2-2220000000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-22222-2-22222-2-20000000000000000000000000000
χ212222-2-2-2-22-2000022-2-200002-22-20000000022-2-2000022-2-2000000000000
χ222222-2-2-2-22-2000022-2-200002-22-200000000-2-2220000-2-222000000000000
χ232222-2-2-2-22-20000-2-22200002-2-220000000022-2-20000-2-222000000000000
χ242222-2-2-2-22-20000-2-22200002-2-2200000000-2-222000022-2-2000000000000
χ252222-2-2-2-2-22000022-2-20000-22-22000022-2-2000022-2-20000000000000000
χ262222-2-2-2-2-22000022-2-20000-22-220000-2-2220000-2-2220000000000000000
χ272222-2-2-2-2-220000-2-2220000-222-2000022-2-20000-2-2220000000000000000
χ282222-2-2-2-2-220000-2-2220000-222-20000-2-222000022-2-20000000000000000
χ2922-2-222-2-22222-2-2000022-2-2-2-200000000000000000000002-22-200000000
χ3022-2-222-2-22222-2-2000022-2-2-2-20000000000000000000000-22-2200000000
χ3122-2-222-2-222-2-2220000-2-222-2-200000000000000000000002-2-2200000000
χ3222-2-222-2-222-2-2220000-2-222-2-20000000000000000000000-222-200000000
χ3322-2-222-2-2-2-222-2-20000-2-22222000000000000000000000000002i−2i2i−2i0000
χ3422-2-222-2-2-2-222-2-20000-2-2222200000000000000000000000000−2i2i−2i2i0000
χ3522-2-222-2-2-2-2-2-222000022-2-222000000000000000000000000002i−2i−2i2i0000
χ3622-2-222-2-2-2-2-2-222000022-2-22200000000000000000000000000−2i2i2i−2i0000
χ372-22-22-2-22002-22-22i−2i2i−2i000000002i−2i002−22−22−22−2i2−i2i2−i2i2−i2i2−i2000000000000
χ382-22-22-2-22002-22-22i−2i2i−2i000000002i−2i00−22−22−22−22−i2i2−i2i2−i2i2−i2i2000000000000
χ392-22-22-2-22002-22-2−2i2i−2i2i00000000−2i2i002−22−22−22−2−i2i2−i2i2−i2i2−i2i2000000000000
χ402-22-22-2-22002-22-2−2i2i−2i2i00000000−2i2i00−22−22−22−22i2−i2i2−i2i2−i2i2−i2000000000000
χ412-22-22-2-2200-22-222i−2i2i−2i00000000−2i2i002−22−2−22−22i2−i2i2−i2−i2i2−i2i2000000000000
χ422-22-22-2-2200-22-222i−2i2i−2i00000000−2i2i00−22−222−22−2−i2i2−i2i2i2−i2i2−i2000000000000
χ432-22-22-2-2200-22-22−2i2i−2i2i000000002i−2i002−22−2−22−22−i2i2−i2i2i2−i2i2−i2000000000000
χ442-22-22-2-2200-22-22−2i2i−2i2i000000002i−2i00−22−222−22−2i2−i2i2−i2−i2i2−i2i2000000000000
χ452-22-2-222-20000002i−2i−2i2i2-22-20000002i−2i2−2−222−2−22i2−i2−i2i2i2−i2−i2i2000000000000
χ462-22-2-222-20000002i−2i−2i2i2-22-20000002i−2i−222−2−222−2−i2i2i2−i2−i2i2i2−i2000000000000
χ472-22-2-222-20000002i−2i−2i2i-22-22000000−2i2i2−2−22−222−2i2−i2−i2i2−i2i2i2−i2000000000000
χ482-22-2-222-20000002i−2i−2i2i-22-22000000−2i2i−222−22−2−22−i2i2i2−i2i2−i2−i2i2000000000000
χ492-22-2-222-2000000−2i2i2i−2i2-22-2000000−2i2i2−2−222−2−22−i2i2i2−i2−i2i2i2−i2000000000000
χ502-22-2-222-2000000−2i2i2i−2i2-22-2000000−2i2i−222−2−222−2i2−i2−i2i2i2−i2−i2i2000000000000
χ512-22-2-222-2000000−2i2i2i−2i-22-220000002i−2i2−2−22−222−2−i2i2i2−i2i2−i2−i2i2000000000000
χ522-22-2-222-2000000−2i2i2i−2i-22-220000002i−2i−222−22−2−22i2−i2−i2i2−i2i2i2−i2000000000000
χ5344-4-4-4-4444-4000000000000-440000000000000000000000000000000000
χ5444-4-4-4-444-440000000000004-40000000000000000000000000000000000
χ554-4-444-44-4004-4-4400000000000000000000000000000000000000000000
χ564-4-444-44-400-444-400000000000000000000000000000000000000000000
χ574-4-44-44-4400000000004-4-44000000000000000000000000000000000000
χ584-4-44-44-440000000000-444-4000000000000000000000000000000000000

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