Finite Group Databasebeta

← Group #15909

Character table — Group #15909

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size1111111111111111444444444444444444444444888888888888888888
order1222222222222222444444444444444444444444222222444444444444
χ11111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1
χ31111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-111-1-1-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1111111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-111-1-1
χ91111111111111111-1-1-1-11111-1-1-1-1111111111111-1-111-1-1-1-111-1-111-1-1-1-1
χ101111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-11111
χ121111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1
χ131111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111
χ141111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ151111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ161111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111
χ1722222-2-222-2-2-2-22-2-200002i2i−2i−2i0000000000002i2i−2i−2i0000000000002-20000
χ1822222-2-222-2-2-2-22-2-200002i2i−2i−2i000000000000−2i−2i2i2i000000000000-220000
χ1922222-2-222-2-2-2-22-2-20000−2i−2i2i2i0000000000002i2i−2i−2i000000000000-220000
χ2022222-2-222-2-2-2-22-2-20000−2i−2i2i2i000000000000−2i−2i2i2i0000000000002-20000
χ212222-22-2-2-222-2-2-22-200002-22-2000000002i2i−2i−2i0000000000002i−2i00000000
χ222222-22-2-2-222-2-2-22-200002-22-200000000−2i−2i2i2i000000000000−2i2i00000000
χ232222-22-2-2-222-2-2-22-20000-22-22000000002i2i−2i−2i000000000000−2i2i00000000
χ242222-22-2-2-222-2-2-22-20000-22-2200000000−2i−2i2i2i0000000000002i−2i00000000
χ252222-2-22-2-2-2-222-2-2200002i−2i−2i2i00002i2i−2i−2i00000000002-200000000000000
χ262222-2-22-2-2-2-222-2-2200002i−2i−2i2i0000−2i−2i2i2i0000000000-2200000000000000
χ272222-2-22-2-2-2-222-2-220000−2i2i2i−2i00002i2i−2i−2i0000000000-2200000000000000
χ282222-2-22-2-2-2-222-2-220000−2i2i2i−2i0000−2i−2i2i2i00000000002-200000000000000
χ2922-2-22222-22-2-2-2-2-222i2i−2i−2i000000002i−2i2i−2i000000002-20000000000000000
χ3022-2-22222-22-2-2-2-2-222i2i−2i−2i00000000−2i2i−2i2i00000000-220000000000000000
χ3122-2-22222-22-2-2-2-2-22−2i−2i2i2i000000002i−2i2i−2i00000000-220000000000000000
χ3222-2-22222-22-2-2-2-2-22−2i−2i2i2i00000000−2i2i−2i2i000000002-20000000000000000
χ3322-2-2-2-22-22-22-2-22220000000022-2-22-2-2200000000000000000000002-200
χ3422-2-2-2-22-22-22-2-22220000000022-2-2-222-20000000000000000000000-2200
χ3522-2-2-2-22-22-22-2-222200000000-2-2222-2-220000000000000000000000-2200
χ3622-2-2-2-22-22-22-2-222200000000-2-222-222-200000000000000000000002-200
χ372-22-2222-22-2-22-2-22-22-22-20000000000002i−2i2i−2i00000000002i−2i0000000000
χ382-22-2222-22-2-22-2-22-22-22-2000000000000−2i2i−2i2i0000000000−2i2i0000000000
χ392-22-2222-22-2-22-2-22-2-22-220000000000002i−2i2i−2i0000000000−2i2i0000000000
χ402-22-2222-22-2-22-2-22-2-22-22000000000000−2i2i−2i2i00000000002i−2i0000000000
χ412-22-2-22-22-2-2-2-22222000000002-22-200002-2-22000000002-2000000000000
χ422-22-2-22-22-2-2-2-22222000000002-22-20000-222-200000000-22000000000000
χ432-22-2-22-22-2-2-2-2222200000000-22-2200002-2-2200000000-22000000000000
χ442-22-2-22-22-2-2-2-2222200000000-22-220000-222-2000000002-2000000000000
χ452-2-22222-2-2-22-222-2-22i−2i−2i2i00000000000000002i−2i2i−2i00000000002-2000000
χ462-2-22222-2-2-22-222-2-22i−2i−2i2i0000000000000000−2i2i−2i2i0000000000-22000000
χ472-2-22222-2-2-22-222-2-2−2i2i2i−2i00000000000000002i−2i2i−2i0000000000-22000000
χ482-2-22222-2-2-22-222-2-2−2i2i2i−2i0000000000000000−2i2i−2i2i00000000002-2000000
χ492-2-222-2-2-2-22-22-2222000000002-2-22000000002-2-2200000000000000002-2
χ502-2-222-2-2-2-22-22-2222000000002-2-2200000000-222-20000000000000000-22
χ512-2-222-2-2-2-22-22-222200000000-222-2000000002-2-220000000000000000-22
χ522-2-222-2-2-2-22-22-222200000000-222-200000000-222-200000000000000002-2
χ5344-4-44-4-44-4-4444-44-4000000000000000000000000000000000000000000
χ5444-4-4-44-4-444-4444-4-4000000000000000000000000000000000000000000
χ554-44-44-4-4-4444-44-4-44000000000000000000000000000000000000000000
χ564-44-4-4-444-4444-44-4-4000000000000000000000000000000000000000000
χ574-4-44-44-444-444-4-4-44000000000000000000000000000000000000000000
χ584-4-44-4-44444-4-44-44-4000000000000000000000000000000000000000000

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