Finite Group Databasebeta

← Group #9897

Character table — Group #9897

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11111111222222222222222244444444444444444444448888888816161616
order1222222244444444444444444444448888888888888888888888884444
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ8111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ911111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i1-11-1
χ1011111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii-11-11
χ1111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i-11-11
χ1211111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii1-11-1
χ1311111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii1-1-11
χ1411111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i-111-1
χ1511111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii-111-1
χ1611111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i1-1-11
χ172222222222-2-22222222222-2-2-2-2-2-2-2-20000000000000000000000000000
χ182222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-222220000000000000000000000000000
χ1922222222-2-2222222-2-2-2-2-2-222-2-2-2-2220000000000000000000000000000
χ2022222222-2-222-2-2-2-22222-2-222-2-222-2-20000000000000000000000000000
χ212222-2-2-2-2220022-2-222-2-2-2-20000000000000000000000002−22−22−22−20000
χ222222-2-2-2-2220022-2-222-2-2-2-2000000000000000000000000−22−22−22−220000
χ232222-2-2-2-22200-2-222-2-222-2-20000000000000000000000002−22−2−22−220000
χ242222-2-2-2-22200-2-222-2-222-2-2000000000000000000000000−22−222−22−20000
χ252222-2-2-2-2-2-20022-2-2-2-22222000000000000000000000000i2−i2−i2i2i2−i2−i2i20000
χ262222-2-2-2-2-2-20022-2-2-2-22222000000000000000000000000−i2i2i2−i2−i2i2i2−i20000
χ272222-2-2-2-2-2-200-2-22222-2-222000000000000000000000000i2−i2−i2i2−i2i2i2−i20000
χ282222-2-2-2-2-2-200-2-22222-2-222000000000000000000000000−i2i2i2−i2i2−i2−i2i20000
χ2922-2-222-2-22-222000000002-2-2-22-200000000000022-2-222-2-2000000000000
χ3022-2-222-2-22-222000000002-2-2-22-2000000000000-2-222-2-222000000000000
χ3122-2-222-2-22-2-2-2000000002-222-2200002i2i−2i−2i2i2i−2i−2i00000000000000000000
χ3222-2-222-2-22-2-2-2000000002-222-220000−2i−2i2i2i−2i−2i2i2i00000000000000000000
χ3322-2-222-2-2-222200000000-22-2-2-22000022-2-2-2-22200000000000000000000
χ3422-2-222-2-2-222200000000-22-2-2-220000-2-22222-2-200000000000000000000
χ3522-2-222-2-2-22-2-200000000-22222-20000000000002i2i−2i−2i−2i−2i2i2i000000000000
χ3622-2-222-2-2-22-2-200000000-22222-2000000000000−2i−2i2i2i2i2i−2i−2i000000000000
χ372-22-22-22-2002-200002i−2i2i−2i002-2002i−2i00i2−i2i2−i2i2−i2i2−i22−22−22−22−2000000000000
χ382-22-22-22-2002-200002i−2i2i−2i002-2002i−2i00−i2i2−i2i2−i2i2−i2i2−22−22−22−22000000000000
χ392-22-22-22-2002-20000−2i2i−2i2i002-200−2i2i00i2−i2i2−i2i2−i2i2−i2−22−22−22−22000000000000
χ402-22-22-22-2002-20000−2i2i−2i2i002-200−2i2i00−i2i2−i2i2−i2i2−i2i22−22−22−22−2000000000000
χ412-22-22-22-200-2200002i−2i2i−2i00-2200−2i2i002−22−2−22−22i2−i2i2−i2−i2i2−i2i2000000000000
χ422-22-22-22-200-2200002i−2i2i−2i00-2200−2i2i00−22−222−22−2−i2i2−i2i2i2−i2i2−i2000000000000
χ432-22-22-22-200-220000−2i2i−2i2i00-22002i−2i002−22−2−22−22−i2i2−i2i2i2−i2i2−i2000000000000
χ442-22-22-22-200-220000−2i2i−2i2i00-22002i−2i00−22−222−22−2i2−i2i2−i2−i2i2−i2i2000000000000
χ452-2-222-2-22002-22i−2i2i−2i000000-2200002i−2ii2−i2−i2i2−i2i2i2−i22−2−222−2−22000000000000
χ462-2-222-2-22002-22i−2i2i−2i000000-2200002i−2i−i2i2i2−i2i2−i2−i2i2−222−2−222−2000000000000
χ472-2-222-2-22002-2−2i2i−2i2i000000-220000−2i2ii2−i2−i2i2−i2i2i2−i2−222−2−222−2000000000000
χ482-2-222-2-22002-2−2i2i−2i2i000000-220000−2i2i−i2i2i2−i2i2−i2−i2i22−2−222−2−22000000000000
χ492-2-222-2-2200-222i−2i2i−2i0000002-20000−2i2i2−2−222−2−22−i2i2i2−i2i2−i2−i2i2000000000000
χ502-2-222-2-2200-222i−2i2i−2i0000002-20000−2i2i−222−2−222−2i2−i2−i2i2−i2i2i2−i2000000000000
χ512-2-222-2-2200-22−2i2i−2i2i0000002-200002i−2i2−2−222−2−22i2−i2−i2i2−i2i2i2−i2000000000000
χ522-2-222-2-2200-22−2i2i−2i2i0000002-200002i−2i−222−2−222−2−i2i2i2−i2i2−i2−i2i2000000000000
χ5344-4-4-4-4444-40000000000-44000000000000000000000000000000000000
χ5444-4-4-4-444-4400000000004-4000000000000000000000000000000000000
χ554-44-4-44-44000000004i−4i−4i4i00000000000000000000000000000000000000
χ564-44-4-44-4400000000−4i4i4i−4i00000000000000000000000000000000000000
χ574-4-44-444-400004i−4i−4i4i000000000000000000000000000000000000000000
χ584-4-44-444-40000−4i4i4i−4i000000000000000000000000000000000000000000

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