Finite Group Databasebeta

← Group #18485

Character table — Group #18485

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222244444444444444444488888888888888881616
order1222444444444444222224444488888888224444448888888844
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-111-1-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111-1-111-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ511111111111111111-1-111-1-111111111111-1-1-1-111-1-1-1-1-1-11111-1-1
χ611111111111111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ711111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-111
χ811111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1
χ91111-1-1-1-1-1-1-1-11111-11111-1-1-1-111111-1-1-1-1111-11-1-1-111-1-111-1-11-1
χ101111-1-1-1-1-1-1-1-11111-11111-1-1-1-11-1-1-1-11111111-11-1-1-1-1-111-1-111-11
χ111111-1-1-1-1-1-1-1-11111-111-1-1-1-11111111-1-1-1-1-1-11-1-111111-1-1-1-111-11
χ121111-1-1-1-1-1-1-1-11111-111-1-1-1-1111-1-1-1-11111-1-11-1-1111-1-11111-1-11-1
χ131111-1-1-1-1-1-1-1-11111-1-1-11111-1-111111-1-1-1-1-1-1-111-111-1-11111-1-1-11
χ141111-1-1-1-1-1-1-1-11111-1-1-11111-1-11-1-1-1-11111-1-1-111-11111-1-1-1-1111-1
χ151111-1-1-1-1-1-1-1-11111-1-1-1-1-1111111111-1-1-1-111-11-11-1-1-1-111-1-1111-1
χ161111-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1111111-11-11-1-111-1-111-1-1-11
χ172222222222-2-222-2-2-200220022-2000000000000-2-2000000000000
χ182222222222-2-222-2-2-200-2-200-2-2-200000000000022000000000000
χ1922222222-2-222-2-222-222002200-20000000000-2-200000000000000
χ2022222222-2-222-2-222-2-2-200-2-200-200000000002200000000000000
χ2122222222-2-2-2-2-2-2-2-22000000002000000002-200002-20000000000
χ2222222222-2-2-2-2-2-2-2-2200000000200000000-220000-220000000000
χ232222-2-2-2-22222-2-2-2-2-2000000002000000002-20000-220000000000
χ242222-2-2-2-22222-2-2-2-2-200000000200000000-2200002-20000000000
χ252222-2-2-2-222-2-2-2-22222200-2-200-20000000000-2200000000000000
χ262222-2-2-2-222-2-2-2-2222-2-2002200-200000000002-200000000000000
χ272222-2-2-2-2-2-22222-2-22002200-2-2-2000000000000-22000000000000
χ282222-2-2-2-2-2-22222-2-2200-2-20022-20000000000002-2000000000000
χ2922-2-22i2i−2i−2i002i−2i002-202-2002i−2i000i2i2−i2−i222−2−200000000i2−i22−2000000
χ3022-2-22i2i−2i−2i002i−2i002-202-2002i−2i000−i2−i2i2i2−2−22200000000−i2i2−22000000
χ3122-2-22i2i−2i−2i002i−2i002-20-2200−2i2i000i2i2−i2−i222−2−200000000−i2i2−22000000
χ3222-2-22i2i−2i−2i002i−2i002-20-2200−2i2i000−i2−i2i2i2−2−22200000000i2−i22−2000000
χ3322-2-2−2i−2i2i2i00−2i2i002-202-200−2i2i000i2i2−i2−i2−2−22200000000i2−i2−22000000
χ3422-2-2−2i−2i2i2i00−2i2i002-202-200−2i2i000−i2−i2i2i222−2−200000000−i2i22−2000000
χ3522-2-2−2i−2i2i2i00−2i2i002-20-22002i−2i000i2i2−i2−i2−2−22200000000−i2i22−2000000
χ3622-2-2−2i−2i2i2i00−2i2i002-20-22002i−2i000−i2−i2i2i222−2−200000000i2−i2−22000000
χ372-22-22i−2i2i−2i2i−2i002-2000002-2002i−2i02−22−2i2−i2i2−i20000000000002−2i2−i200
χ382-22-22i−2i2i−2i2i−2i002-2000002-2002i−2i0−22−22−i2i2−i2i2000000000000−22−i2i200
χ392-22-22i−2i2i−2i2i−2i002-200000-2200−2i2i02−22−2i2−i2i2−i2000000000000−22−i2i200
χ402-22-22i−2i2i−2i2i−2i002-200000-2200−2i2i0−22−22−i2i2−i2i20000000000002−2i2−i200
χ412-22-2−2i2i−2i2i−2i2i002-2000002-200−2i2i02−22−2−i2i2−i2i20000000000002−2−i2i200
χ422-22-2−2i2i−2i2i−2i2i002-2000002-200−2i2i0−22−22i2−i2i2−i2000000000000−22i2−i200
χ432-22-2−2i2i−2i2i−2i2i002-200000-22002i−2i02−22−2−i2i2−i2i2000000000000−22i2−i200
χ442-22-2−2i2i−2i2i−2i2i002-200000-22002i−2i0−22−22i2−i2i2−i20000000000002−2−i2i200
χ4544-4-44i4i−4i−4i00−4i4i00-44000000000000000000000000000000000000
χ4644-4-4−4i−4i4i4i004i−4i00-44000000000000000000000000000000000000
χ474-44-44i−4i4i−4i−4i4i00-4400000000000000000000000000000000000000
χ484-44-4−4i4i−4i4i4i−4i00-4400000000000000000000000000000000000000
χ494-4-444-4-440000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000
χ504-4-444-4-44000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000
χ514-4-44-444-40000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000
χ524-4-44-444-4000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000

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