Finite Group Databasebeta

← Group #16699

Character table — Group #16699

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1111111111111111444444444444888888888888888888888888
order1222222222222222222244444444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ91111111111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1111111-1-1-1-1-1-1
χ101111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1111111
χ111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-11111
χ121111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1-1
χ131111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-111
χ141111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-111-1-111-1-1
χ151111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1111111-1-1
χ161111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-111
χ172222-2-222-2-2-2-2-222-2000022-2-2000000000000002i−2i0000002i−2i0000
χ182222-2-222-2-2-2-2-222-2000022-2-200000000000000−2i2i000000−2i2i0000
χ192222-2-222-2-2-2-2-222-20000-2-222000000000000002i−2i000000−2i2i0000
χ202222-2-222-2-2-2-2-222-20000-2-22200000000000000−2i2i0000002i−2i0000
χ2122-2-222-2-222-2-2-222-200002-22-20000000000002i−2i002i−2i0000000000
χ2222-2-222-2-222-2-2-222-200002-22-2000000000000−2i2i00−2i2i0000000000
χ2322-2-222-2-222-2-2-222-20000-22-220000000000002i−2i00−2i2i0000000000
χ2422-2-222-2-222-2-2-222-20000-22-22000000000000−2i2i002i−2i0000000000
χ2522-2-2-2-2-2-2-2-222222222-2-22-2-2222-2-2000000000000000000000000
χ2622-2-2-2-2-2-2-2-222222222-2-2-222-2-2-222000000000000000000000000
χ2722-2-2-2-2-2-2-2-2222222-2-2222-2-22-2-222000000000000000000000000
χ2822-2-2-2-2-2-2-2-2222222-2-222-222-222-2-2000000000000000000000000
χ292-22-22-22-22-222-22-2-2000000002i−2i2i−2i002i−2i2-2000000000000000000
χ302-22-22-22-22-222-22-2-2000000002i−2i2i−2i00−2i2i-22000000000000000000
χ312-22-22-22-22-222-22-2-200000000−2i2i−2i2i002i−2i-22000000000000000000
χ322-22-22-22-22-222-22-2-200000000−2i2i−2i2i00−2i2i2-2000000000000000000
χ332-22-22-2-22-222-22-22-22-22-20000000000000000000000002i−2i00002i−2i
χ342-22-22-2-22-222-22-22-22-22-2000000000000000000000000−2i2i0000−2i2i
χ352-22-22-2-22-222-22-22-2-22-220000000000000000000000002i−2i0000−2i2i
χ362-22-22-2-22-222-22-22-2-22-22000000000000000000000000−2i2i00002i−2i
χ372-2-22-222-22-22-22-22-22-2-2200000000000000000000002i−2i00002i−2i00
χ382-2-22-222-22-22-22-22-22-2-220000000000000000000000−2i2i0000−2i2i00
χ392-2-22-222-22-22-22-22-2-222-200000000000000000000002i−2i0000−2i2i00
χ402-2-22-222-22-22-22-22-2-222-20000000000000000000000−2i2i00002i−2i00
χ412-2-22-22-22-2222-22-2-2000000002i−2i−2i2i2-200002i−2i0000000000000000
χ422-2-22-22-22-2222-22-2-2000000002i−2i−2i2i-220000−2i2i0000000000000000
χ432-2-22-22-22-2222-22-2-200000000−2i2i2i−2i2-20000−2i2i0000000000000000
χ442-2-22-22-22-2222-22-2-200000000−2i2i2i−2i-2200002i−2i0000000000000000
χ45444444-4-4-4-44-4-4-4-44000000000000000000000000000000000000
χ464444-4-4-4-444-444-4-4-4000000000000000000000000000000000000
χ4744-4-44444-4-4-444-4-4-4000000000000000000000000000000000000
χ4844-4-4-4-444444-4-4-4-44000000000000000000000000000000000000
χ494-44-4-444-4-44-4-444-44000000000000000000000000000000000000
χ504-44-4-44-444-4-44-4-444000000000000000000000000000000000000
χ514-4-444-44-4-44-44-4-444000000000000000000000000000000000000
χ524-4-444-4-444-4-4-444-44000000000000000000000000000000000000

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