Finite Group Databasebeta

← Group #9733

Character table — Group #9733

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11111111222222222222222244444444444444444444448888888816161616
order1222222244444444888888884444444444888888888888888888884444
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ81111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ91-1-111-1-1111-1-111-1-11111-1-1-1-11-1iiii−i−i−i−i11-1-1iiii−i−i−i−iii−i−iii−i−i1-11-1
χ101-1-111-1-1111-1-111-1-11111-1-1-1-11-1iiii−i−i−i−i11-1-1iiii−i−i−i−i−i−iii−i−iii-11-11
χ111-1-111-1-1111-1-111-1-11111-1-1-1-11-1−i−i−i−iiiii11-1-1−i−i−i−iiiiiii−i−iii−i−i-11-11
χ121-1-111-1-1111-1-111-1-11111-1-1-1-11-1−i−i−i−iiiii11-1-1−i−i−i−iiiii−i−iii−i−iii1-11-1
χ131-1-111-1-1111-1-111-1-1-1-1-1-111111-1iiii−i−i−i−i-1-111−i−i−i−iiiiiii−i−i−i−iii1-1-11
χ141-1-111-1-1111-1-111-1-1-1-1-1-111111-1iiii−i−i−i−i-1-111−i−i−i−iiiii−i−iiiii−i−i-111-1
χ151-1-111-1-1111-1-111-1-1-1-1-1-111111-1−i−i−i−iiiii-1-111iiii−i−i−i−iii−i−i−i−iii-111-1
χ161-1-111-1-1111-1-111-1-1-1-1-1-111111-1−i−i−i−iiiii-1-111iiii−i−i−i−i−i−iiiii−i−i1-1-11
χ1722222222222-2-2-2-2200000000-2-222-2-222-2-2000000000000000000000000
χ1822222222222-2-2-2-2200000000-2-2-2-222-2-222000000000000000000000000
χ1922222222-2-2-22222-222222222-2-200000000-2-2-2-200000000000000000000
χ2022222222-2-2-22222-2-2-2-2-2-2-2-2-2-2-200000000222200000000000000000000
χ2122222222-2-2-2-2-2-2-2-200000000220000000000002i2i−2i−2i2i2i−2i−2i000000000000
χ2222222222-2-2-2-2-2-2-2-20000000022000000000000−2i−2i2i2i−2i−2i2i2i000000000000
χ23222-2-2-2-2200022-2-2022-2-222-2-20000000000000000000000i2−i2i2−i2i2−i2i2−i20000
χ24222-2-2-2-2200022-2-2022-2-222-2-20000000000000000000000−i2i2−i2i2−i2i2−i2i20000
χ25222-2-2-2-2200022-2-20-2-222-2-2220000000000000000000000i2−i2i2−i2−i2i2−i2i20000
χ26222-2-2-2-2200022-2-20-2-222-2-2220000000000000000000000−i2i2−i2i2i2−i2i2−i20000
χ2722-22-22-2-22-220000-22−22−22−22−200002-2002-22−22−22−22−22−22−2000000000000
χ2822-22-22-2-22-220000-22−22−22−22−20000-2200-222−22−2−22−22−22−22000000000000
χ2922-22-22-2-22-220000-2−22−22−22−2200002-2002-2−22−22−22−22−22−22000000000000
χ3022-22-22-2-22-220000-2−22−22−22−220000-2200-22−22−222−22−22−22−2000000000000
χ3122-22-22-2-2-22-2000022−22−22−22−2002i−2i002i−2i00−22−22i2−i2−i2i2i2−i2−i2i2000000000000
χ3222-22-22-2-2-22-2000022−22−22−22−200−2i2i00−2i2i00−22−22−i2i2i2−i2−i2i2i2−i2000000000000
χ3322-22-22-2-2-22-200002−22−22−22−22002i−2i002i−2i002−22−2−i2i2i2−i2−i2i2i2−i2000000000000
χ3422-22-22-2-2-22-200002−22−22−22−2200−2i2i00−2i2i002−22−2i2−i2−i2i2i2−i2−i2i2000000000000
χ352-222-2-22-22-2-2000022−22−2−22−2200002i−2i00−2i2i2−2−22i2−i2i2−i2−i2i2−i2i2000000000000
χ362-222-2-22-22-2-2000022−22−2−22−220000−2i2i002i−2i2−2−22−i2i2−i2i2i2−i2i2−i2000000000000
χ372-222-2-22-22-2-200002−22−222−22−200002i−2i00−2i2i−222−2−i2i2−i2i2i2−i2i2−i2000000000000
χ382-222-2-22-22-2-200002−22−222−22−20000−2i2i002i−2i−222−2i2−i2i2−i2−i2i2−i2i2000000000000
χ392-222-2-22-2-2220000-22−22−2−22−22002-200-2200−222−22−2−22−222−2000000000000
χ402-222-2-22-2-2220000-22−22−2−22−2200-22002-200−222−2−222−22−2−22000000000000
χ412-222-2-22-2-2220000-2−22−222−22−2002-200-22002−2−22−222−22−2−22000000000000
χ422-222-2-22-2-2220000-2−22−222−22−200-22002-2002−2−222−2−22−222−2000000000000
χ432-2-222-2-2222-22-2-22-200000000-222i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ442-2-222-2-2222-22-2-22-200000000-22−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ452-2-222-2-22-2-222-2-222000000002-200000000000022-2-2-2-222000000000000
χ462-2-222-2-22-2-222-2-222000000002-2000000000000-2-22222-2-2000000000000
χ472-2-222-2-22-2-22-222-222222-2-2-2-2-2200000000-2-22200000000000000000000
χ482-2-222-2-22-2-22-222-22-2-2-2-22222-220000000022-2-200000000000000000000
χ492-2-2-2-2222000-22-22022-2-2-2-22200000000000000000000002−2−222−2−220000
χ502-2-2-2-2222000-22-22022-2-2-2-2220000000000000000000000−222−2−222−20000
χ512-2-2-2-2222000-22-220-2-22222-2-200000000000000000000002−2−22−222−20000
χ522-2-2-2-2222000-22-220-2-22222-2-20000000000000000000000−222−22−2−220000
χ53444-4-4-4-44000-4-4440000000000000000000000000000000000000000000
χ5444-4-44-44-40000000022−22−222222−22−22220000000000000000000000000000000000
χ5544-4-44-44-400000000−222222−22−222222−220000000000000000000000000000000000
χ564-44-444-4-40000000022−22−2222−222222−220000000000000000000000000000000000
χ574-44-444-4-400000000−222222−2222−22−22220000000000000000000000000000000000
χ584-4-4-4-44440004-44-40000000000000000000000000000000000000000000

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