Finite Group Databasebeta

← Group #25113

Character table — Group #25113

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11111111222222222222222244444444444444444444448888888816161616
order1222222244444444888888882222444444888888888888224444444444
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
χ51111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-11-1
χ61111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-11
χ71111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-11-11
χ81111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-11-11-1
χ91111111111-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ101111111111-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ111111111111-1-1-1-11111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ121111111111-1-1-1-11111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ131111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-111-1-1-111-1
χ141111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-111-1-1111-1-11
χ151111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-111-1-11-1-11
χ161111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-111-111-1
χ1722222222-2-22222-2-200000000-2-22222-2-2-2-2000000000000000000000000
χ1822222222-2-22222-2-200000000-2-2-2-2-2-22222000000000000000000000000
χ1922222222-2-2-2-2-2-2-2-2000000002222-2-222-2-2000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-20000000022-2-222-2-222000000000000000000000000
χ2122-22-2-2-222-200002-22i2i2i2i−2i−2i−2i−2i000000000000000000000000002i−2i2-20000
χ2222-22-2-2-222-200002-22i2i2i2i−2i−2i−2i−2i00000000000000000000000000−2i2i-220000
χ2322-22-2-2-222-200002-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000002i−2i-220000
χ2422-22-2-2-222-200002-2−2i−2i−2i−2i2i2i2i2i00000000000000000000000000−2i2i2-20000
χ2522-2-2-222-2002i2i−2i−2i00i2i2−i2−i2i2i2−i2−i2002-22i−2i000022−2−222−2−2i2i2−i2−i2000000000000
χ2622-2-2-222-2002i2i−2i−2i00i2i2−i2−i2i2i2−i2−i200-22−2i2i0000−2−22222−2−2−i2−i2i2i2000000000000
χ2722-2-2-222-2002i2i−2i−2i00−i2−i2i2i2−i2−i2i2i2002-22i−2i0000−2−222−2−222−i2−i2i2i2000000000000
χ2822-2-2-222-2002i2i−2i−2i00−i2−i2i2i2−i2−i2i2i200-22−2i2i000022−2−2−2−222i2i2−i2−i2000000000000
χ2922-2-2-222-200−2i−2i2i2i00i2i2−i2−i2i2i2−i2−i2002-2−2i2i0000−2−222−2−222i2i2−i2−i2000000000000
χ3022-2-2-222-200−2i−2i2i2i00i2i2−i2−i2i2i2−i2−i200-222i−2i000022−2−2−2−222−i2−i2i2i2000000000000
χ3122-2-2-222-200−2i−2i2i2i00−i2−i2i2i2−i2−i2i2i2002-2−2i2i000022−2−222−2−2−i2−i2i2i2000000000000
χ3222-2-2-222-200−2i−2i2i2i00−i2−i2i2i2−i2−i2i2i200-222i−2i0000−2−22222−2−2i2i2−i2−i2000000000000
χ332-22-2-22-22222-22-2-2-22i−2i2i−2i2i−2i2i−2i2-20000000000002i−2i2i−2i0000000000000000
χ342-22-2-22-22222-22-2-2-2−2i2i−2i2i−2i2i−2i2i2-2000000000000−2i2i−2i2i0000000000000000
χ352-22-2-22-2222-22-22-2-22i−2i2i−2i2i−2i2i−2i-22000000000000−2i2i−2i2i0000000000000000
χ362-22-2-22-2222-22-22-2-2−2i2i−2i2i−2i2i−2i2i-220000000000002i−2i2i−2i0000000000000000
χ372-22-2-22-22-2-22-22-22200000000-22000000002-22-200002-22-2000000000000
χ382-22-2-22-22-2-22-22-22200000000-2200000000-22-220000-22-22000000000000
χ392-22-2-22-22-2-2-22-2222000000002-2000000002-22-20000-22-22000000000000
χ402-22-2-22-22-2-2-22-2222000000002-200000000-22-2200002-22-2000000000000
χ412-2-2222-2-2002i−2i−2i2i002−2−222−2−220000002-22i−2i2−2−22−i2i2i2−i2i2−i2−i2i2000000000000
χ422-2-2222-2-2002i−2i−2i2i002−2−222−2−22000000-22−2i2i−222−2−i2i2i2−i2−i2i2i2−i2000000000000
χ432-2-2222-2-2002i−2i−2i2i00−222−2−222−20000002-22i−2i−222−2i2−i2−i2i2−i2i2i2−i2000000000000
χ442-2-2222-2-2002i−2i−2i2i00−222−2−222−2000000-22−2i2i2−2−22i2−i2−i2i2i2−i2−i2i2000000000000
χ452-2-2222-2-200−2i2i2i−2i002−2−222−2−220000002-2−2i2i2−2−22i2−i2−i2i2−i2i2i2−i2000000000000
χ462-2-2222-2-200−2i2i2i−2i002−2−222−2−22000000-222i−2i−222−2i2−i2−i2i2i2−i2−i2i2000000000000
χ472-2-2222-2-200−2i2i2i−2i00−222−2−222−20000002-2−2i2i−222−2−i2i2i2−i2i2−i2−i2i2000000000000
χ482-2-2222-2-200−2i2i2i−2i00−222−2−222−2000000-222i−2i2−2−22−i2i2i2−i2−i2i2i2−i2000000000000
χ492-2-2-22-2222-20000-222-22-2-22-2200000000000000000000002-22-200000000
χ502-2-2-22-2222-20000-222-22-2-22-220000000000000000000000-22-2200000000
χ512-2-2-22-2222-20000-22-22-222-22-200000000000000000000002-2-2200000000
χ522-2-2-22-2222-20000-22-22-222-22-20000000000000000000000-222-200000000
χ53444-44-4-4-4000000002222−22−22−22−2222220000000000000000000000000000000000
χ54444-44-4-4-400000000−22−2222222222−22−220000000000000000000000000000000000
χ5544-44-4-4-44-440000-44000000000000000000000000000000000000000000
χ564-444-4-44-4000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000
χ574-444-4-44-400000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000
χ584-4-4-44-444-4400004-4000000000000000000000000000000000000000000

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