Finite Group Databasebeta

← Group #9863

Character table — Group #9863

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222222224444444444444444444444441616161616161616
order1222444422444444444488888888888888888888888824448888
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
χ91111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1i−ii−i
χ101111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−ii−ii
χ111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−ii−ii
χ121111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11i−ii−i
χ131111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1-1-11i−i−ii
χ141111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-111-1−iii−i
χ151111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1-1-11−iii−i
χ161111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-111-1i−i−ii
χ172222222222-2-2-2-222-2-2-2-222-2-222-2-2000000000000000000000000
χ182222222222-2-2-2-222-2-2-2-2-2-222-2-222000000000000000000000000
χ1922222222-2-222-2-2-2-222-2-2000000000000000022-2-222-2-200000000
χ2022222222-2-222-2-2-2-222-2-20000000000000000-2-222-2-22200000000
χ2122222222-2-2-2-222-2-2-2-2220000000022-2-222-2-20000000000000000
χ2222222222-2-2-2-222-2-2-2-22200000000-2-222-2-2220000000000000000
χ232222-2-2-2-22222-2-2-2-2-2-22200000000000000002i2i−2i−2i−2i−2i2i2i00000000
χ242222-2-2-2-22222-2-2-2-2-2-2220000000000000000−2i−2i2i2i2i2i−2i−2i00000000
χ252222-2-2-2-222-2-222-2-222-2-2000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ262222-2-2-2-222-2-222-2-222-2-200000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ272222-2-2-2-2-2-2-2-2-2-222222222-2-2-2-222000000000000000000000000
χ282222-2-2-2-2-2-2-2-2-2-2222222-2-22222-2-2000000000000000000000000
χ2922-2-222-2-22-200002-20000002i−2i002i−2ii2−i2i2−i2i2−i2i2−i22−22−22−22−200000000
χ3022-2-222-2-22-200002-20000002i−2i002i−2i−i2i2−i2i2−i2i2−i2i2−22−22−22−2200000000
χ3122-2-222-2-22-200002-2000000−2i2i00−2i2ii2−i2i2−i2i2−i2i2−i2−22−22−22−2200000000
χ3222-2-222-2-22-200002-2000000−2i2i00−2i2i−i2i2−i2i2−i2i2−i2i22−22−22−22−200000000
χ3322-2-222-2-2-220000-2200002i−2i002i−2i00i2−i2−i2i2i2−i2−i2i22−2−222−2−2200000000
χ3422-2-222-2-2-220000-2200002i−2i002i−2i00−i2i2i2−i2−i2i2i2−i2−222−2−222−200000000
χ3522-2-222-2-2-220000-220000−2i2i00−2i2i00i2−i2−i2i2i2−i2−i2i2−222−2−222−200000000
χ3622-2-222-2-2-220000-220000−2i2i00−2i2i00−i2i2i2−i2−i2i2i2−i22−2−222−2−2200000000
χ3722-2-2-2-2222-20000-2200002i−2i00−2i2i002−2−22−222−2−i2i2i2−i2i2−i2−i2i200000000
χ3822-2-2-2-2222-20000-2200002i−2i00−2i2i00−222−22−2−22i2−i2−i2i2−i2i2i2−i200000000
χ3922-2-2-2-2222-20000-220000−2i2i002i−2i002−2−22−222−2i2−i2−i2i2−i2i2i2−i200000000
χ4022-2-2-2-2222-20000-220000−2i2i002i−2i00−222−22−2−22−i2i2i2−i2i2−i2−i2i200000000
χ4122-2-2-2-222-2200002-20000002i−2i00−2i2i2−22−2−22−22−i2i2−i2i2i2−i2i2−i200000000
χ4222-2-2-2-222-2200002-20000002i−2i00−2i2i−22−222−22−2i2−i2i2−i2−i2i2−i2i200000000
χ4322-2-2-2-222-2200002-2000000−2i2i002i−2i2−22−2−22−22i2−i2i2−i2−i2i2−i2i200000000
χ4422-2-2-2-222-2200002-2000000−2i2i002i−2i−22−222−22−2−i2i2−i2i2i2−i2i2−i200000000
χ454-44-44i−4i4i−4i00004-400004i−4i00000000000000000000000000000000
χ464-44-44i−4i4i−4i0000-440000−4i4i00000000000000000000000000000000
χ474-44-4−4i4i−4i4i00004-40000−4i4i00000000000000000000000000000000
χ484-44-4−4i4i−4i4i0000-4400004i−4i00000000000000000000000000000000
χ494-4-444i−4i−4i4i004-400004i−4i0000000000000000000000000000000000
χ504-4-444i−4i−4i4i00-440000−4i4i0000000000000000000000000000000000
χ514-4-44−4i4i4i−4i004-40000−4i4i0000000000000000000000000000000000
χ524-4-44−4i4i4i−4i00-4400004i−4i0000000000000000000000000000000000

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