Finite Group Databasebeta

← Group #16549

Character table — Group #16549

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1111111111111111444444444444888888888888888888888888
order1222222222222222444444444444222244444444444444444444
χ11111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1
χ91111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1-1
χ101111111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-111
χ111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111
χ121111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-111-1-111-1-1
χ131111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ161111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ1722222-2-2-222-2-2-2-22-2000000002i2i−2i−2i00002-22i−2i0000000000000000
χ1822222-2-2-222-2-2-2-22-2000000002i2i−2i−2i0000-22−2i2i0000000000000000
χ1922222-2-2-222-2-2-2-22-200000000−2i−2i2i2i00002-2−2i2i0000000000000000
χ2022222-2-2-222-2-2-2-22-200000000−2i−2i2i2i0000-222i−2i0000000000000000
χ212222-22-2-2-2-222-2-2-222i2i−2i−2i00000000002-2000000002i−2i0000000000
χ222222-22-2-2-2-222-2-2-222i2i−2i−2i0000000000-2200000000−2i2i0000000000
χ232222-22-2-2-2-222-2-2-22−2i−2i2i2i00000000002-200000000−2i2i0000000000
χ242222-22-2-2-2-222-2-2-22−2i−2i2i2i0000000000-22000000002i−2i0000000000
χ2522-2-2222-2-2-22-22-22-22i−2i2i−2i22-2-22i−2i2i−2i000000000000000000000000
χ2622-2-2222-2-2-22-22-22-22i−2i2i−2i-2-222−2i2i−2i2i000000000000000000000000
χ2722-2-2222-2-2-22-22-22-2−2i2i−2i2i22-2-2−2i2i−2i2i000000000000000000000000
χ2822-2-2222-2-2-22-22-22-2−2i2i−2i2i-2-2222i−2i2i−2i000000000000000000000000
χ2922-2-22-2-22-2-2-22-2222000000002-2-222-2000000002-2000000000000
χ3022-2-22-2-22-2-2-22-2222000000002-2-22-2200000000-22000000000000
χ3122-2-22-2-22-2-2-22-222200000000-222-22-200000000-22000000000000
χ3222-2-22-2-22-2-2-22-222200000000-222-2-22000000002-2000000000000
χ3322-2-2-22-22222-2-22-2-22-2-2200000000000000002i−2i00002i−2i00000000
χ3422-2-2-22-22222-2-22-2-22-2-220000000000000000−2i2i0000−2i2i00000000
χ3522-2-2-22-22222-2-22-2-2-222-200000000000000002i−2i0000−2i2i00000000
χ3622-2-2-22-22222-2-22-2-2-222-20000000000000000−2i2i00002i−2i00000000
χ372-22-2-2-2-222-22-22-22200002-22-2000000000000000000002-2002-200
χ382-22-2-2-2-222-22-22-22200002-22-200000000000000000000-2200-2200
χ392-22-2-2-2-222-22-22-2220000-22-22000000000000000000002-200-2200
χ402-22-2-2-2-222-22-22-2220000-22-2200000000000000000000-22002-200
χ412-2-22-2-2-2-2-2222222-200002-2-2200000000000000000000002-2002-2
χ422-2-22-2-2-2-2-2222222-200002-2-220000000000000000000000-2200-22
χ432-2-22-2-2-2-2-2222222-20000-222-200000000000000000000002-200-22
χ442-2-22-2-2-2-2-2222222-20000-222-20000000000000000000000-22002-2
χ454444-4-444-4-4-4-444-4-4000000000000000000000000000000000000
χ4644-4-4-4-44-444-444-4-44000000000000000000000000000000000000
χ474-44-444-44-44-444-4-4-4000000000000000000000000000000000000
χ484-44-44-44-4-444-4-44-44000000000000000000000000000000000000
χ494-44-4-444-44-4-44-444-4000000000000000000000000000000000000
χ504-4-4444-4-44-4-4-444-44000000000000000000000000000000000000
χ514-4-444-4444-444-4-4-4-4000000000000000000000000000000000000
χ524-4-44-4444-44-4-4-4-444000000000000000000000000000000000000

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