Finite Group Databasebeta

← Group #33287

Character table — Group #33287

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222222224444444444444444444444441616161616161616
order1222222244444444444444444444888888888888888844444444
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
χ911111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-11-11-11-11-1
χ1011111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11
χ1111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-111111-11-1-11-11
χ1211111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-11111-11-111-11-1
χ1311111111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-111111-1-111-1-11
χ1411111111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-11111-111-1-111-1
χ1511111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-1-1-11-1-11-111-1
χ1611111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-1-1-1-111-11-1-11
χ17222222222222-2-2-2-2-2-2-2-222-2-2-2-222000000000000000000000000
χ18222222222222-2-2-2-2-2-2-2-2-2-22222-2-2000000000000000000000000
χ1922222222-2-2-2-22222-2-2-2-22222-2-2-2-2000000000000000000000000
χ2022222222-2-2-2-22222-2-2-2-2-2-2-2-22222000000000000000000000000
χ2122-2-222-2-20000000022-2-2002i−2i002i−2i00002i2i−2i−2i22-2-2000000000000
χ2222-2-222-2-20000000022-2-2002i−2i002i−2i0000−2i−2i2i2i-2-222000000000000
χ2322-2-222-2-20000000022-2-200−2i2i00−2i2i00002i2i−2i−2i-2-222000000000000
χ2422-2-222-2-20000000022-2-200−2i2i00−2i2i0000−2i−2i2i2i22-2-2000000000000
χ2522-2-222-2-200000000-2-222002i−2i00−2i2i2i2i−2i−2i0000000022-2-200000000
χ2622-2-222-2-200000000-2-222002i−2i00−2i2i−2i−2i2i2i00000000-2-22200000000
χ2722-2-222-2-200000000-2-22200−2i2i002i−2i2i2i−2i−2i00000000-2-22200000000
χ2822-2-222-2-200000000-2-22200−2i2i002i−2i−2i−2i2i2i0000000022-2-200000000
χ292-22-22-22-2000000002-22-22i−2i002i−2i0000002-22-200002i−2i2i−2i00000000
χ302-22-22-22-2000000002-22-22i−2i002i−2i000000-22-220000−2i2i−2i2i00000000
χ312-22-22-22-2000000002-22-2−2i2i00−2i2i0000002-22-20000−2i2i−2i2i00000000
χ322-22-22-22-2000000002-22-2−2i2i00−2i2i000000-22-2200002i−2i2i−2i00000000
χ332-22-22-22-200000000-22-222i−2i00−2i2i002-22-200002i−2i2i−2i000000000000
χ342-22-22-22-200000000-22-222i−2i00−2i2i00-22-220000−2i2i−2i2i000000000000
χ352-22-22-22-200000000-22-22−2i2i002i−2i002-22-20000−2i2i−2i2i000000000000
χ362-22-22-22-200000000-22-22−2i2i002i−2i00-22-2200002i−2i2i−2i000000000000
χ372-2-222-2-2222-2-222-2-22-2-22000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ382-2-222-2-2222-2-222-2-22-2-2200000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ392-2-222-2-2222-2-2-2-222-222-200000000000000002i−2i−2i2i2i−2i−2i2i00000000
χ402-2-222-2-2222-2-2-2-222-222-20000000000000000−2i2i2i−2i−2i2i2i−2i00000000
χ412-2-222-2-22-2-22222-2-2-222-200000000000000002i−2i−2i2i−2i2i2i−2i00000000
χ422-2-222-2-22-2-22222-2-2-222-20000000000000000−2i2i2i−2i2i−2i−2i2i00000000
χ432-2-222-2-22-2-222-2-2222-2-22000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ442-2-222-2-22-2-222-2-2222-2-2200000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ45444-4-4-4-4400004-44-4000000000000000000000000000000000000
χ46444-4-4-4-440000-44-44000000000000000000000000000000000000
χ4744-44-4-44-44-44-40000000000000000000000000000000000000000
χ4844-44-4-44-4-44-440000000000000000000000000000000000000000
χ494-444-44-4-44-4-440000000000000000000000000000000000000000
χ504-444-44-4-4-444-40000000000000000000000000000000000000000
χ514-4-4-4-444400004-4-44000000000000000000000000000000000000
χ524-4-4-4-44440000-444-4000000000000000000000000000000000000

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