Finite Group Databasebeta

← Group #33048

Character table — Group #33048

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222222224444444444444444444444441616161616161616
order1222222244444444444422444444888888888888888822444444
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
χ91111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-11-1
χ101111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11
χ111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-11-11
χ121111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-111-11-1
χ131111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-111-1-11
χ141111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-111-1
χ151111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-11-111-1
χ161111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-11-1-11
χ1722222222-2-22222-2-2-2-2-2-222-2-222-2-2000000000000000000000000
χ1822222222-2-22222-2-2-2-2-2-2-2-222-2-222000000000000000000000000
χ1922222222-2-2-2-2-2-22222-2-222-2-2-2-222000000000000000000000000
χ2022222222-2-2-2-2-2-22222-2-2-2-22222-2-2000000000000000000000000
χ2122-22-22-2-22-2000000002-200002i−2i2i−2i000022-2-22i2i−2i−2i000000000000
χ2222-22-22-2-22-2000000002-200002i−2i2i−2i0000-2-222−2i−2i2i2i000000000000
χ2322-22-22-2-22-2000000002-20000−2i2i−2i2i000022-2-2−2i−2i2i2i000000000000
χ2422-22-22-2-22-2000000002-20000−2i2i−2i2i0000-2-2222i2i−2i−2i000000000000
χ2522-22-22-2-2-2200000000-2200002i−2i−2i2i22-2-2000000002i2i−2i−2i00000000
χ2622-22-22-2-2-2200000000-2200002i−2i−2i2i-2-22200000000−2i−2i2i2i00000000
χ2722-22-22-2-2-2200000000-220000−2i2i2i−2i22-2-200000000−2i−2i2i2i00000000
χ2822-22-22-2-2-2200000000-220000−2i2i2i−2i-2-222000000002i2i−2i−2i00000000
χ292-222-2-22-22-200000000-222-22-2000000002i−2i2i−2i00002i−2i2i−2i00000000
χ302-222-2-22-22-200000000-222-22-200000000−2i2i−2i2i0000−2i2i−2i2i00000000
χ312-222-2-22-22-200000000-22-22-22000000002i−2i2i−2i0000−2i2i−2i2i00000000
χ322-222-2-22-22-200000000-22-22-2200000000−2i2i−2i2i00002i−2i2i−2i00000000
χ332-222-2-22-2-22000000002-22-2-2200002i−2i2i−2i00002i−2i2i−2i000000000000
χ342-222-2-22-2-22000000002-22-2-220000−2i2i−2i2i0000−2i2i−2i2i000000000000
χ352-222-2-22-2-22000000002-2-222-200002i−2i2i−2i0000−2i2i−2i2i000000000000
χ362-222-2-22-2-22000000002-2-222-20000−2i2i−2i2i00002i−2i2i−2i000000000000
χ372-2-222-2-222222-2-222-2-2-2-2000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ382-2-222-2-222222-2-222-2-2-2-200000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ392-2-222-2-2222-2-222-2-222-2-2000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ402-2-222-2-2222-2-222-2-222-2-200000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ412-2-222-2-22-2-222-2-2-2-2222200000000000000002-2-22-222-200000000
χ422-2-222-2-22-2-222-2-2-2-222220000000000000000-222-22-2-2200000000
χ432-2-222-2-22-2-2-2-22222-2-22200000000000000002-2-222-2-2200000000
χ442-2-222-2-22-2-2-2-22222-2-2220000000000000000-222-2-222-200000000
χ45444-44-4-4-4004-44-400000000000000000000000000000000000000
χ46444-44-4-4-400-44-4400000000000000000000000000000000000000
χ4744-4-4-4-4440000004-44-40000000000000000000000000000000000
χ4844-4-4-4-444000000-44-440000000000000000000000000000000000
χ494-44-4-44-440000004-4-440000000000000000000000000000000000
χ504-44-4-44-44000000-444-40000000000000000000000000000000000
χ514-4-4-4444-4004-4-4400000000000000000000000000000000000000
χ524-4-4-4444-400-444-400000000000000000000000000000000000000

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