Finite Group Databasebeta

← Group #33028

Character table — Group #33028

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11111111222222222222222244444444444444444444448888888816161616
order1222222244444444444444442222444444444444444444888888882444
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ811111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ91111111111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-1-11
χ101111111111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-111-1
χ111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-1-111-1
χ121111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1111-1-11
χ131111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111-11-1
χ141111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-11-11
χ151111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111-11-11
χ161111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-11-11-1
χ1722222222-2-2222222222222-2-20000-2-2-2-2-2-2000000000000000000000000
χ1822222222-2-22222-2-2-2-2-2-2-2-2-2-20000-2-22222000000000000000000000000
χ1922222222-2-2-2-2-2-22222-2-2-2-2-2-2000022-2-222000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-22222-2-200002222-2-2000000000000000000000000
χ2122-222-2-2-20022-2-22i2i−2i−2i2i2i−2i−2i0000000000000000000000002−22−2i2−i2i2−i20000
χ2222-222-2-2-20022-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000−22−22−i2i2−i2i20000
χ2322-222-2-2-20022-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000002−22−2−i2i2−i2i20000
χ2422-222-2-2-20022-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000−22−22i2−i2i2−i20000
χ2522-222-2-2-200-2-2222i2i−2i−2i−2i−2i2i2i0000000000000000000000002−2−22i2−i2−i2i20000
χ2622-222-2-2-200-2-2222i2i−2i−2i−2i−2i2i2i000000000000000000000000−222−2−i2i2i2−i20000
χ2722-222-2-2-200-2-222−2i−2i2i2i2i2i−2i−2i0000000000000000000000002−2−22−i2i2i2−i20000
χ2822-222-2-2-200-2-222−2i−2i2i2i2i2i−2i−2i000000000000000000000000−222−2i2−i2−i2i20000
χ2922-2-2-222-22-22i−2i2i−2i000000002-200002i−2i0000000022-2-22i2i−2i−2i000000000000
χ3022-2-2-222-22-22i−2i2i−2i000000002-200002i−2i00000000-2-222−2i−2i2i2i000000000000
χ3122-2-2-222-22-2−2i2i−2i2i000000002-20000−2i2i0000000022-2-2−2i−2i2i2i000000000000
χ3222-2-2-222-22-2−2i2i−2i2i000000002-20000−2i2i00000000-2-2222i2i−2i−2i000000000000
χ3322-2-2-222-2-222i−2i2i−2i00000000-2222-2-2−2i2i00002i2i−2i−2i00000000000000000000
χ3422-2-2-222-2-222i−2i2i−2i00000000-22-2-222−2i2i0000−2i−2i2i2i00000000000000000000
χ3522-2-2-222-2-22−2i2i−2i2i00000000-2222-2-22i−2i0000−2i−2i2i2i00000000000000000000
χ3622-2-2-222-2-22−2i2i−2i2i00000000-22-2-2222i−2i00002i2i−2i−2i00000000000000000000
χ372-222-22-2-22-200002i−2i2i−2i0000-222-22-2002i−2i0000002i−2i2i−2i0000000000000000
χ382-222-22-2-22-200002i−2i2i−2i0000-22-22-22002i−2i000000−2i2i−2i2i0000000000000000
χ392-222-22-2-22-20000−2i2i−2i2i0000-222-22-200−2i2i000000−2i2i−2i2i0000000000000000
χ402-222-22-2-22-20000−2i2i−2i2i0000-22-22-2200−2i2i0000002i−2i2i−2i0000000000000000
χ412-222-22-2-2-2200002i−2i2i−2i00002-2000000−2i2i002-22-200002i−2i2i−2i000000000000
χ422-222-22-2-2-2200002i−2i2i−2i00002-2000000−2i2i00-22-220000−2i2i−2i2i000000000000
χ432-222-22-2-2-220000−2i2i−2i2i00002-20000002i−2i002-22-20000−2i2i−2i2i000000000000
χ442-222-22-2-2-220000−2i2i−2i2i00002-20000002i−2i00-22-2200002i−2i2i−2i000000000000
χ452-2-2-222-2222000000002-22-2-2-2000000002-22i−2i−2i2i2i−2i−2i2i0000000000000000
χ462-2-2-222-2222000000002-22-2-2-2000000002-2−2i2i2i−2i−2i2i2i−2i0000000000000000
χ472-2-2-222-222200000000-22-22-2-200000000-222i−2i−2i2i−2i2i2i−2i0000000000000000
χ482-2-2-222-222200000000-22-22-2-200000000-22−2i2i2i−2i2i−2i−2i2i0000000000000000
χ492-2-2-222-22-2-2000000002-22-2222-2-220000-2200000000-222-2000000000000
χ502-2-2-222-22-2-2000000002-22-222-222-20000-22000000002-2-22000000000000
χ512-2-2-222-22-2-200000000-22-22222-2-2200002-2000000002-2-22000000000000
χ522-2-2-222-22-2-200000000-22-2222-222-200002-200000000-222-2000000000000
χ53444-4-4-4-44004i−4i−4i4i00000000000000000000000000000000000000000000
χ54444-4-4-4-4400−4i4i4i−4i00000000000000000000000000000000000000000000
χ554-44-44-44-400000000004i−4i−4i4i000000000000000000000000000000000000
χ564-44-44-44-40000000000−4i4i4i−4i000000000000000000000000000000000000
χ574-4-44-4-4440000004-4-440000000000000000000000000000000000000000
χ584-4-44-4-444000000-444-40000000000000000000000000000000000000000

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