Finite Group Databasebeta

← Group #17044

Character table — Group #17044

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1111111111111111444444444444888888888888888888888888
order1222222222222222444444444444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ91111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111
χ101111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1
χ111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1
χ121111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-111
χ131111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-111-1-1-1-1
χ141111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-111-1-11111
χ151111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-1111111
χ161111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1
χ17222-2-22222-2-2-2-2-22-2000000002i2i−2i−2i000000000000000000002-22i−2i
χ18222-2-22222-2-2-2-2-22-2000000002i2i−2i−2i00000000000000000000-22−2i2i
χ19222-2-22222-2-2-2-2-22-200000000−2i−2i2i2i000000000000000000002-2−2i2i
χ20222-2-22222-2-2-2-2-22-200000000−2i−2i2i2i00000000000000000000-222i−2i
χ2122-22-222-2-222-2-2-2-2200002i2i−2i−2i0000002-2002i−2i0000000000000000
χ2222-22-222-2-222-2-2-2-2200002i2i−2i−2i000000-2200−2i2i0000000000000000
χ2322-22-222-2-222-2-2-2-220000−2i−2i2i2i0000002-200−2i2i0000000000000000
χ2422-22-222-2-222-2-2-2-220000−2i−2i2i2i000000-22002i−2i0000000000000000
χ2522-2-22-2-2222-22-2-2-222i2i−2i−2i00000000000000002-20000002i−2i000000
χ2622-2-22-2-2222-22-2-2-222i2i−2i−2i0000000000000000-22000000−2i2i000000
χ2722-2-22-2-2222-22-2-2-22−2i−2i2i2i00000000000000002-2000000−2i2i000000
χ2822-2-22-2-2222-22-2-2-22−2i−2i2i2i0000000000000000-220000002i−2i000000
χ292-222-22-22-2-2-222-2-222i−2i2i−2i0000000000000000002i−2i0000002-20000
χ302-222-22-22-2-2-222-2-222i−2i2i−2i000000000000000000−2i2i000000-220000
χ312-222-22-22-2-2-222-2-22−2i2i−2i2i0000000000000000002i−2i000000-220000
χ322-222-22-22-2-2-222-2-22−2i2i−2i2i000000000000000000−2i2i0000002-20000
χ332-22-22-22-22-22-22-2-2200002i−2i2i−2i00002-2002i−2i000000000000000000
χ342-22-22-22-22-22-22-2-2200002i−2i2i−2i0000-2200−2i2i000000000000000000
χ352-22-22-22-22-22-22-2-220000−2i2i−2i2i00002-200−2i2i000000000000000000
χ362-22-22-22-22-22-22-2-220000−2i2i−2i2i0000-22002i−2i000000000000000000
χ372-2-222-222-22-2-22-22-2000000002i−2i2i−2i0000000000002i−2i2-200000000
χ382-2-222-222-22-2-22-22-2000000002i−2i2i−2i000000000000−2i2i-2200000000
χ392-2-222-222-22-2-22-22-200000000−2i2i−2i2i0000000000002i−2i-2200000000
χ402-2-222-222-22-2-22-22-200000000−2i2i−2i2i000000000000−2i2i2-200000000
χ412-2-2-2-2-222-2-222-22222-2-222-2-222-2-22000000000000000000000000
χ422-2-2-2-2-222-2-222-22222-2-22-222-2-222-2000000000000000000000000
χ432-2-2-2-2-222-2-222-2222-222-22-2-22-222-2000000000000000000000000
χ442-2-2-2-2-222-2-222-2222-222-2-222-22-2-22000000000000000000000000
χ4544444-4-4-4-4-444-4-44-4000000000000000000000000000000000000
χ46444-4-4-4-4-4-44-4-44444000000000000000000000000000000000000
χ4744-44-4-4-444-44-444-4-4000000000000000000000000000000000000
χ4844-4-4444-4-4-4-4444-4-4000000000000000000000000000000000000
χ494-444-4-44-444-44-44-4-4000000000000000000000000000000000000
χ504-44-444-44-444-4-44-4-4000000000000000000000000000000000000
χ514-4-4444-4-44-4-4-4-4444000000000000000000000000000000000000
χ524-4-4-4-44-4-444444-44-4000000000000000000000000000000000000

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