Finite Group Databasebeta

← Group #25474

Character table — Group #25474

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11111111222222222222222244444444444444444444448888888816161616
order1222222244444444888888884444444444888888888888444444444444
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ61111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1
χ71111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111
χ91111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1
χ101111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11
χ111111111111-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11
χ121111111111-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1
χ131111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-111-1
χ141111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-11111-1-11-1-11
χ151111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-1111-1-11
χ161111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-111-1
χ1722222222-2-22222-2-20000000022-2-2-2-2-2-222000000000000000000000000
χ1822222222-2-22222-2-200000000-2-222-2-222-2-2000000000000000000000000
χ1922222222-2-2-2-2-2-2-2-200000000222222-2-2-2-2000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-200000000-2-2-2-2222222000000000000000000000000
χ21222-22-2-2-22-200002-22222-2-2-2-200000000000000000000002-22-200000000
χ22222-22-2-2-22-200002-22222-2-2-2-20000000000000000000000-22-2200000000
χ23222-22-2-2-22-200002-2-2-2-2-2222200000000000000000000002-2-2200000000
χ24222-22-2-2-22-200002-2-2-2-2-222220000000000000000000000-222-200000000
χ2522-2-2-22-22002i2i−2i−2i0022−2−222−2−2002i−2i002-200i2i2−i2−i222−2−2i2i2−i2−i2000000000000
χ2622-2-2-22-22002i2i−2i−2i0022−2−222−2−200−2i2i00-2200i2i2−i2−i2−2−222−i2−i2i2i2000000000000
χ2722-2-2-22-22002i2i−2i−2i00−2−222−2−222002i−2i002-200−i2−i2i2i2−2−222−i2−i2i2i2000000000000
χ2822-2-2-22-22002i2i−2i−2i00−2−222−2−22200−2i2i00-2200−i2−i2i2i222−2−2i2i2−i2−i2000000000000
χ2922-2-2-22-2200−2i−2i2i2i0022−2−222−2−2002i−2i00-2200−i2−i2i2i2−2−222i2i2−i2−i2000000000000
χ3022-2-2-22-2200−2i−2i2i2i0022−2−222−2−200−2i2i002-200−i2−i2i2i222−2−2−i2−i2i2i2000000000000
χ3122-2-2-22-2200−2i−2i2i2i00−2−222−2−222002i−2i00-2200i2i2−i2−i222−2−2−i2−i2i2i2000000000000
χ3222-2-2-22-2200−2i−2i2i2i00−2−222−2−22200−2i2i002-200i2i2−i2−i2−2−222i2i2−i2−i2000000000000
χ332-222-2-2-22002i−2i2i−2i00i2−i2i2−i2i2−i2i2−i22i−2i0000002-22−22−22−22−2i2−i2i2−i2000000000000
χ342-222-2-2-22002i−2i2i−2i00i2−i2i2−i2i2−i2i2−i2−2i2i000000-222−22−2−22−22−i2i2−i2i2000000000000
χ352-222-2-2-22002i−2i2i−2i00−i2i2−i2i2−i2i2−i2i22i−2i0000002-2−22−22−22−22−i2i2−i2i2000000000000
χ362-222-2-2-22002i−2i2i−2i00−i2i2−i2i2−i2i2−i2i2−2i2i000000-22−22−222−22−2i2−i2i2−i2000000000000
χ372-222-2-2-2200−2i2i−2i2i00i2−i2i2−i2i2−i2i2−i22i−2i000000-22−22−222−22−2−i2i2−i2i2000000000000
χ382-222-2-2-2200−2i2i−2i2i00i2−i2i2−i2i2−i2i2−i2−2i2i0000002-2−22−22−22−22i2−i2i2−i2000000000000
χ392-222-2-2-2200−2i2i−2i2i00−i2i2−i2i2−i2i2−i2i22i−2i000000-222−22−2−22−22i2−i2i2−i2000000000000
χ402-222-2-2-2200−2i2i−2i2i00−i2i2−i2i2−i2i2−i2i2−2i2i0000002-22−22−22−22−2−i2i2−i2i2000000000000
χ412-2-2222-2-22-20000-222i−2i−2i2i−2i2i2i−2i000000000000000000000000002-22i−2i0000
χ422-2-2222-2-22-20000-222i−2i−2i2i−2i2i2i−2i00000000000000000000000000-22−2i2i0000
χ432-2-2222-2-22-20000-22−2i2i2i−2i2i−2i−2i2i000000000000000000000000002-2−2i2i0000
χ442-2-2222-2-22-20000-22−2i2i2i−2i2i−2i−2i2i00000000000000000000000000-222i−2i0000
χ452-2-2-22-222222-2-22-2-22i−2i−2i2i2i−2i−2i2i00002-20000−2i2i2i−2i00000000000000000000
χ462-2-2-22-222222-2-22-2-2−2i2i2i−2i−2i2i2i−2i00002-200002i−2i−2i2i00000000000000000000
χ472-2-2-22-22222-222-2-2-22i−2i−2i2i2i−2i−2i2i0000-2200002i−2i−2i2i00000000000000000000
χ482-2-2-22-22222-222-2-2-2−2i2i2i−2i−2i2i2i−2i0000-220000−2i2i2i−2i00000000000000000000
χ492-2-2-22-222-2-22-2-2222000000000000-22000000002-2-222-2-22000000000000
χ502-2-2-22-222-2-22-2-2222000000000000-2200000000-222-2-222-2000000000000
χ512-2-2-22-222-2-2-222-2220000000000002-2000000002-2-22-222-2000000000000
χ522-2-2-22-222-2-2-222-2220000000000002-200000000-222-22-2-22000000000000
χ53444-44-4-4-4-440000-44000000000000000000000000000000000000000000
χ5444-44-4-44-4000000002222−22−22−22−2222220000000000000000000000000000000000
χ5544-44-4-44-400000000−22−2222222222−22−220000000000000000000000000000000000
χ564-44-4-444-4000000002i2−2i22i2−2i2−2i22i2−2i22i20000000000000000000000000000000000
χ574-44-4-444-400000000−2i22i2−2i22i22i2−2i22i2−2i20000000000000000000000000000000000
χ584-4-4444-4-4-4400004-4000000000000000000000000000000000000000000

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