Finite Group Databasebeta

← Group #9840

Character table — Group #9840

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222222224444444444444444444444441616161616161616
order1222222244444444444488888888888888888888888844444444
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ91-1-11-1-1111111-1-1-1-111-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−ii−ii−i1-11-1
χ101-1-11-1-1111111-1-1-1-111-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−ii−ii-11-11
χ111-1-11-1-1111111-1-1-1-111-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiii−ii−i-11-11
χ121-1-11-1-1111111-1-1-1-111-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−ii−ii1-11-1
χ131-1-11-1-1111111-1-1-1-111-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiii−i−ii1-1-11
χ141-1-11-1-1111111-1-1-1-111-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−iii−i-111-1
χ151-1-11-1-1111111-1-1-1-111-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−ii−i−ii-111-1
χ161-1-11-1-1111111-1-1-1-111-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−iii−i1-1-11
χ172222222222-2-2-2-222-2-2-2-2000000000000000022-2-222-2-200000000
χ182222222222-2-2-2-222-2-2-2-20000000000000000-2-222-2-22200000000
χ1922222222-2-222-2-2-2-2-2-2220000000022-2-222-2-20000000000000000
χ2022222222-2-222-2-2-2-2-2-22200000000-2-222-2-2220000000000000000
χ2122222222-2-2-2-222-2-222-2-222-2-222-2-2000000000000000000000000
χ2222222222-2-2-2-222-2-222-2-2-2-222-2-222000000000000000000000000
χ2322-2-22-22-200002-2002-200002i−2i002i−2ii2−i2i2−i2i2−i2i2−i22−22−22−22−200000000
χ2422-2-22-22-200002-2002-200002i−2i002i−2i−i2i2−i2i2−i2i2−i2i2−22−22−22−2200000000
χ2522-2-22-22-200002-2002-20000−2i2i00−2i2ii2−i2i2−i2i2−i2i2−i2−22−22−22−2200000000
χ2622-2-22-22-200002-2002-20000−2i2i00−2i2i−i2i2−i2i2−i2i2−i2i22−22−22−22−200000000
χ2722-2-22-22-20000-2200-22002i−2i002i−2i00i2−i2−i2i2i2−i2−i2i22−2−222−2−2200000000
χ2822-2-22-22-20000-2200-22002i−2i002i−2i00−i2i2i2−i2−i2i2i2−i2−222−2−222−200000000
χ2922-2-22-22-20000-2200-2200−2i2i00−2i2i00i2−i2−i2i2i2−i2−i2i2−222−2−222−200000000
χ3022-2-22-22-20000-2200-2200−2i2i00−2i2i00−i2i2i2−i2−i2i2i2−i22−2−222−2−2200000000
χ312-22-2-222-200002-200-22002i−2i00−2i2i002−2−22−222−2−i2i2i2−i2i2−i2−i2i200000000
χ322-22-2-222-200002-200-22002i−2i00−2i2i00−222−22−2−22i2−i2−i2i2−i2i2i2−i200000000
χ332-22-2-222-200002-200-2200−2i2i002i−2i002−2−22−222−2i2−i2−i2i2−i2i2i2−i200000000
χ342-22-2-222-200002-200-2200−2i2i002i−2i00−222−22−2−22−i2i2i2−i2i2−i2−i2i200000000
χ352-22-2-222-20000-22002-200002i−2i00−2i2i2−22−2−22−22−i2i2−i2i2i2−i2i2−i200000000
χ362-22-2-222-20000-22002-200002i−2i00−2i2i−22−222−22−2i2−i2i2−i2−i2i2−i2i200000000
χ372-22-2-222-20000-22002-20000−2i2i002i−2i2−22−2−22−22i2−i2i2−i2−i2i2−i2i200000000
χ382-22-2-222-20000-22002-20000−2i2i002i−2i−22−222−22−2−i2i2−i2i2i2−i2i2−i200000000
χ392-2-22-2-22222-2-222-2-2-2-22200000000000000002i2i−2i−2i−2i−2i2i2i00000000
χ402-2-22-2-22222-2-222-2-2-2-2220000000000000000−2i−2i2i2i2i2i−2i−2i00000000
χ412-2-22-2-222-2-2222222-2-2-2-2000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ422-2-22-2-222-2-2222222-2-2-2-200000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ432-2-22-2-222-2-2-2-2-2-222222222-2-2-2-222000000000000000000000000
χ442-2-22-2-222-2-2-2-2-2-2222222-2-22222-2-2000000000000000000000000
χ45444-4-4-4-44004-40000004-400000000000000000000000000000000
χ46444-4-4-4-4400-44000000-4400000000000000000000000000000000
χ4744-44-44-4-44-400004-4000000000000000000000000000000000000
χ4844-44-44-4-4-440000-44000000000000000000000000000000000000
χ494-4444-4-4-44-40000-44000000000000000000000000000000000000
χ504-4444-4-4-4-4400004-4000000000000000000000000000000000000
χ514-4-4-444-44004-4000000-4400000000000000000000000000000000
χ524-4-4-444-4400-440000004-400000000000000000000000000000000

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