Finite Group Databasebeta

← Group #33049

Character table — Group #33049

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222222224444444444444444444444441616161616161616
order1222222244444444444422444444888888888888888844444444
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ511111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
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
χ911111111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-11-11-11-11-1
χ1011111111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11
χ1111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111111-1-111-1-11
χ1211111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-111-1-111-1
χ1311111111-1-1-1-111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111111-11-1-11-11
χ1411111111-1-1-1-111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-11-111-11-1
χ1511111111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-111111111-1-1-1-11-1-11-111-1
χ1611111111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-111-11-1-11
χ17222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000
χ18222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000
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
χ2122-2-22-22-200002-200002-2002i−2i002i−2i00002i2i−2i−2i22-2-2000000000000
χ2222-2-22-22-200002-200002-2002i−2i002i−2i0000−2i−2i2i2i-2-222000000000000
χ2322-2-22-22-200002-200002-200−2i2i00−2i2i00002i2i−2i−2i-2-222000000000000
χ2422-2-22-22-200002-200002-200−2i2i00−2i2i0000−2i−2i2i2i22-2-2000000000000
χ2522-2-22-22-20000-220000-22002i−2i00−2i2i2i2i−2i−2i0000000022-2-200000000
χ2622-2-22-22-20000-220000-22002i−2i00−2i2i−2i−2i2i2i00000000-2-22200000000
χ2722-2-22-22-20000-220000-2200−2i2i002i−2i2i2i−2i−2i00000000-2-22200000000
χ2822-2-22-22-20000-220000-2200−2i2i002i−2i−2i−2i2i2i0000000022-2-200000000
χ292-22-2-222-200002-20000-222-2002-2002i−2i2i−2i00002i−2i2i−2i000000000000
χ302-22-2-222-200002-20000-222-2002-200−2i2i−2i2i0000−2i2i−2i2i000000000000
χ312-22-2-222-200002-20000-22-2200-22002i−2i2i−2i0000−2i2i−2i2i000000000000
χ322-22-2-222-200002-20000-22-2200-2200−2i2i−2i2i00002i−2i2i−2i000000000000
χ332-22-2-222-20000-2200002-22-200-220000002i−2i2i−2i00002i−2i2i−2i00000000
χ342-22-2-222-20000-2200002-22-200-22000000−2i2i−2i2i0000−2i2i−2i2i00000000
χ352-22-2-222-20000-2200002-2-22002-20000002i−2i2i−2i0000−2i2i−2i2i00000000
χ362-22-2-222-20000-2200002-2-22002-2000000−2i2i−2i2i00002i−2i2i−2i00000000
χ372-2-22-2-22222-2-22222-2-2-2-200000000000000002i−2i−2i2i2i−2i−2i2i00000000
χ382-2-22-2-22222-2-22222-2-2-2-20000000000000000−2i2i2i−2i−2i2i2i−2i00000000
χ392-2-22-2-22222-2-2-2-2-2-22222000000002-2-22-222-20000000000000000
χ402-2-22-2-22222-2-2-2-2-2-2222200000000-222-22-2-220000000000000000
χ412-2-22-2-222-2-22222-2-222-2-200000000000000002i−2i−2i2i−2i2i2i−2i00000000
χ422-2-22-2-222-2-22222-2-222-2-20000000000000000−2i2i2i−2i2i−2i−2i2i00000000
χ432-2-22-2-222-2-222-2-222-2-222000000002-2-222-2-220000000000000000
χ442-2-22-2-222-2-222-2-222-2-22200000000-222-2-222-20000000000000000
χ45444-4-4-4-440000004-44-40000000000000000000000000000000000
χ46444-4-4-4-44000000-44-440000000000000000000000000000000000
χ4744-44-44-4-44-44-40000000000000000000000000000000000000000
χ4844-44-44-4-4-44-440000000000000000000000000000000000000000
χ494-4444-4-4-44-4-440000000000000000000000000000000000000000
χ504-4444-4-4-4-444-40000000000000000000000000000000000000000
χ514-4-4-444-440000004-4-440000000000000000000000000000000000
χ524-4-4-444-44000000-444-40000000000000000000000000000000000

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