Finite Group Databasebeta

← Group #28529

Character table — Group #28529

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11111111222222222222222244444444444444444444448888888816161616
order1222222244444444888888884444444444888888888888224444444444
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ61111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ71111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-1-1-111
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-11111-1-1
χ9111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1
χ10111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11
χ11111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11
χ12111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1
χ13111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111-1-11
χ14111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-111-1
χ15111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-111-111-1
χ16111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-11-1-11
χ1722222222-22222-2-2-20000000022-2-222-2-2-2-2000000000000000000000000
χ1822222222-22222-2-2-200000000-2-222-2-222-2-2000000000000000000000000
χ1922222222-2-2-2-2-2-2-2-20000000022-2-2-2-22222000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-200000000-2-22222-2-222000000000000000000000000
χ21222-2-22-2-2200002-2-22222-2-2-2-200000000000000000000002-22-200000000
χ22222-2-22-2-2200002-2-22222-2-2-2-20000000000000000000000-22-2200000000
χ23222-2-22-2-2200002-2-2-2-2-2-2222200000000000000000000002-2-2200000000
χ24222-2-22-2-2200002-2-2-2-2-2-222220000000000000000000000-222-200000000
χ2522-22-2-22-2022-2-2000i2i2−i2−i2i2i2−i2−i2002i−2i002i−2i00i2i2−i2−i222−2−222−2−2000000000000
χ2622-22-2-22-2022-2-2000i2i2−i2−i2i2i2−i2−i200−2i2i00−2i2i00i2i2−i2−i2−2−222−2−222000000000000
χ2722-22-2-22-2022-2-2000−i2−i2i2i2−i2−i2i2i2002i−2i002i−2i00−i2−i2i2i2−2−222−2−222000000000000
χ2822-22-2-22-2022-2-2000−i2−i2i2i2−i2−i2i2i200−2i2i00−2i2i00−i2−i2i2i222−2−222−2−2000000000000
χ2922-22-2-22-20-2-222000i2i2−i2−i2i2i2−i2−i2002i−2i00−2i2i00−i2−i2i2i222−2−2−2−222000000000000
χ3022-22-2-22-20-2-222000i2i2−i2−i2i2i2−i2−i200−2i2i002i−2i00−i2−i2i2i2−2−22222−2−2000000000000
χ3122-22-2-22-20-2-222000−i2−i2i2i2−i2−i2i2i2002i−2i00−2i2i00i2i2−i2−i2−2−22222−2−2000000000000
χ3222-22-2-22-20-2-222000−i2−i2i2i2−i2−i2i2i200−2i2i002i−2i00i2i2−i2−i222−2−2−2−222000000000000
χ332-22-22-22-202-22-2000i2−i2i2−i2i2−i2i2−i22i−2i002i−2i0000i2−i2i2−i22−22−22−22−2000000000000
χ342-22-22-22-202-22-2000i2−i2i2−i2i2−i2i2−i2−2i2i00−2i2i0000i2−i2i2−i2−22−22−22−22000000000000
χ352-22-22-22-202-22-2000−i2i2−i2i2−i2i2−i2i22i−2i002i−2i0000−i2i2−i2i2−22−22−22−22000000000000
χ362-22-22-22-202-22-2000−i2i2−i2i2−i2i2−i2i2−2i2i00−2i2i0000−i2i2−i2i22−22−22−22−2000000000000
χ372-22-22-22-20-22-22000i2−i2i2−i2i2−i2i2−i22i−2i00−2i2i0000−i2i2−i2i22−22−2−22−22000000000000
χ382-22-22-22-20-22-22000i2−i2i2−i2i2−i2i2−i2−2i2i002i−2i0000−i2i2−i2i2−22−222−22−2000000000000
χ392-22-22-22-20-22-22000−i2i2−i2i2−i2i2−i2i22i−2i00−2i2i0000i2−i2i2−i2−22−222−22−2000000000000
χ402-22-22-22-20-22-22000−i2i2−i2i2−i2i2−i2i2−2i2i002i−2i0000i2−i2i2−i22−22−2−22−22000000000000
χ412-2-2222-2-2-200002-222-2-22-222-2000000000000000000000000002i−2i2i−2i0000
χ422-2-2222-2-2-200002-222-2-22-222-200000000000000000000000000−2i2i−2i2i0000
χ432-2-2222-2-2-200002-22-222-22-2-22000000000000000000000000002i−2i−2i2i0000
χ442-2-2222-2-2-200002-22-222-22-2-2200000000000000000000000000−2i2i2i−2i0000
χ452-2-2-2-222222-2-22-2-2200000000000000002-200002-2-222-2-22000000000000
χ462-2-2-2-222222-2-22-2-2200000000000000002-20000-222-2-222-2000000000000
χ472-2-2-2-22222-222-2-2-220000000000000000-2200002-2-22-222-2000000000000
χ482-2-2-2-22222-222-2-2-220000000000000000-220000-222-22-2-22000000000000
χ492-2-2-2-2222-22-2-2222-22-2-222-2-2200000000-222-2-2200000000000000000000
χ502-2-2-2-2222-22-2-2222-2-222-2-222-200000000-22-222-200000000000000000000
χ512-2-2-2-2222-2-222-222-22-2-222-2-22000000002-2-222-200000000000000000000
χ522-2-2-2-2222-2-222-222-2-222-2-222-2000000002-22-2-2200000000000000000000
χ53444-4-44-4-4-40000-444000000000000000000000000000000000000000000
χ5444-4-44-4-44000000002i22i2−2i2−2i2−2i2−2i22i22i20000000000000000000000000000000000
χ5544-4-44-4-4400000000−2i2−2i22i22i22i22i2−2i2−2i20000000000000000000000000000000000
χ564-444-4-4-44000000002i2−2i22i2−2i2−2i22i2−2i22i20000000000000000000000000000000000
χ574-444-4-4-4400000000−2i22i2−2i22i22i2−2i22i2−2i20000000000000000000000000000000000
χ584-4-4444-4-440000-44-4000000000000000000000000000000000000000000

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