Finite Group Databasebeta

← Group #16259

Character table — Group #16259

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1111111111111111444444444444888888888888888888888888
order1222222222222222222244444444222244444444444444444444
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1
χ91111111111111111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-111-1-1
χ101111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-1-111
χ111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111
χ121111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1
χ131111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-111-1-111
χ141111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-111-1-1
χ161111111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-111-1-1-1-111
χ17222222-2-22-2-2-2-2-22-2000022-2-200000000002i−2i002i−2i000000000000
χ18222222-2-22-2-2-2-2-22-2000022-2-20000000000−2i2i00−2i2i000000000000
χ19222222-2-22-2-2-2-2-22-20000-2-22200000000002i−2i00−2i2i000000000000
χ20222222-2-22-2-2-2-2-22-20000-2-2220000000000−2i2i002i−2i000000000000
χ21222-2-2-22-22222-2-2-2-2000000002i2i−2i−2i0000000000002-2000000002i−2i
χ22222-2-2-22-22222-2-2-2-2000000002i2i−2i−2i000000000000-2200000000−2i2i
χ23222-2-2-22-22222-2-2-2-200000000−2i−2i2i2i0000000000002-200000000−2i2i
χ24222-2-2-22-22222-2-2-2-200000000−2i−2i2i2i000000000000-22000000002i−2i
χ2522-22-2-22-2-22-2-22-22222-2-200000000002-2000000000000002-20000
χ2622-22-2-22-2-22-2-22-22222-2-20000000000-2200000000000000-220000
χ2722-22-2-22-2-22-2-22-222-2-22200000000002-200000000000000-220000
χ2822-22-2-22-2-22-2-22-222-2-2220000000000-22000000000000002-20000
χ292-22-22-22-2-2-22-2-22222-22-2000000002-2000000000000002-2000000
χ302-22-22-22-2-2-22-2-22222-22-200000000-2200000000000000-22000000
χ312-22-22-22-2-2-22-2-2222-22-22000000002-200000000000000-22000000
χ322-22-22-22-2-2-22-2-2222-22-2200000000-22000000000000002-2000000
χ332-2-222-22-22-2-2222-2-2000000002i−2i2i−2i000000000000002-200002i−2i00
χ342-2-222-22-22-2-2222-2-2000000002i−2i2i−2i00000000000000-220000−2i2i00
χ352-2-222-22-22-2-2222-2-200000000−2i2i−2i2i000000000000002-20000−2i2i00
χ362-2-222-22-22-2-2222-2-200000000−2i2i−2i2i00000000000000-2200002i−2i00
χ372-2-2-2-22222-2-22-2-2222-2-222-22-22-2-22000000000000000000000000
χ382-2-2-2-22222-2-22-2-2222-2-22-22-22-222-2000000000000000000000000
χ392-2-2-2-22222-2-22-2-222-222-22-22-2-222-2000000000000000000000000
χ402-2-2-2-22222-2-22-2-222-222-2-22-222-2-22000000000000000000000000
χ412-2-2-2-22-2-2222-2222-200002-2-22000000002-2002-200000000000000
χ422-2-2-2-22-2-2222-2222-200002-2-2200000000-2200-2200000000000000
χ432-2-2-2-22-2-2222-2222-20000-222-2000000002-200-2200000000000000
χ442-2-2-2-22-2-2222-2222-20000-222-200000000-22002-200000000000000
χ45444-4-4-4-444-4-4-444-44000000000000000000000000000000000000
χ4644-44-4-4-44-4-444-444-4000000000000000000000000000000000000
χ4744-4-44444-44-4-4-44-4-4000000000000000000000000000000000000
χ4844-4-444-4-4-4-4444-4-44000000000000000000000000000000000000
χ494-444-4444-4-44-44-4-4-4000000000000000000000000000000000000
χ504-444-44-4-4-44-44-44-44000000000000000000000000000000000000
χ514-44-44-4-44-44-444-44-4000000000000000000000000000000000000
χ524-4-444-4-44444-4-4-4-44000000000000000000000000000000000000

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