Finite Group Databasebeta

← Group #15643

Character table — Group #15643

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size1111111111111111444444444444444444444444888888888888888888
order1222222222222222444444444444444444444444222244444444444444
χ11111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-111-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-11111-1-1-1-1
χ91111111111111111-1-1-1-11111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-111-1-1
χ101111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111
χ111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111
χ121111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-1
χ131111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1111111-1-1
χ161111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-111
χ17222-2-2-222222-2-2-2-2-2000022-2-20000000000002i2i−2i−2i000000000000002i−2i00
χ18222-2-2-222222-2-2-2-2-2000022-2-2000000000000−2i−2i2i2i00000000000000−2i2i00
χ19222-2-2-222222-2-2-2-2-20000-2-2220000000000002i2i−2i−2i00000000000000−2i2i00
χ20222-2-2-222222-2-2-2-2-20000-2-222000000000000−2i−2i2i2i000000000000002i−2i00
χ2122-22-2-222-2-2-2222-2-20000000022-2-200002i2i−2i−2i000000000000002i−2i000000
χ2222-22-2-222-2-2-2222-2-20000000022-2-20000−2i−2i2i2i00000000000000−2i2i000000
χ2322-22-2-222-2-2-2222-2-200000000-2-22200002i2i−2i−2i00000000000000−2i2i000000
χ2422-22-2-222-2-2-2222-2-200000000-2-2220000−2i−2i2i2i000000000000002i−2i000000
χ2522-2-2-2-2-2-222-222-22222-2-20000000022-2-2000000002-20000000000000000
χ2622-2-2-2-2-2-222-222-22222-2-200000000-2-22200000000-220000000000000000
χ2722-2-2-2-2-2-222-222-222-2-2220000000022-2-200000000-220000000000000000
χ2822-2-2-2-2-2-222-222-222-2-22200000000-2-222000000002-20000000000000000
χ292-22-22-22-22-2-22-222-2000000002-22-22i−2i2i−2i000000000000002i−2i0000000000
χ302-22-22-22-22-2-22-222-2000000002-22-2−2i2i−2i2i00000000000000−2i2i0000000000
χ312-22-22-22-22-2-22-222-200000000-22-222i−2i2i−2i00000000000000−2i2i0000000000
χ322-22-22-22-22-2-22-222-200000000-22-22−2i2i−2i2i000000000000002i−2i0000000000
χ332-22-2-22-22-22-2-2222-22-22-20000000000002i−2i2i−2i0000000000002i−2i00000000
χ342-22-2-22-22-22-2-2222-22-22-2000000000000−2i2i−2i2i000000000000−2i2i00000000
χ352-22-2-22-22-22-2-2222-2-22-220000000000002i−2i2i−2i000000000000−2i2i00000000
χ362-22-2-22-22-22-2-2222-2-22-22000000000000−2i2i−2i2i0000000000002i−2i00000000
χ372-2-222-22-2-222-22-22-22-2-2200000000000000002i−2i2i−2i0000000000002i−2i0000
χ382-2-222-22-2-222-22-22-22-2-220000000000000000−2i2i−2i2i000000000000−2i2i0000
χ392-2-222-22-2-222-22-22-2-222-200000000000000002i−2i2i−2i000000000000−2i2i0000
χ402-2-222-22-2-222-22-22-2-222-20000000000000000−2i2i−2i2i0000000000002i−2i0000
χ412-2-22-22-222-222-2-22-200002-22-200002i−2i−2i2i0000000000002i−2i000000000000
χ422-2-22-22-222-222-2-22-200002-22-20000−2i2i2i−2i000000000000−2i2i000000000000
χ432-2-22-22-222-222-2-22-20000-22-2200002i−2i−2i2i000000000000−2i2i000000000000
χ442-2-22-22-222-222-2-22-20000-22-220000−2i2i2i−2i0000000000002i−2i000000000000
χ452-2-2-22-2-222-22-222-2200002-2-22000000002-2-220000002-200000000000000
χ462-2-2-22-2-222-22-222-2200002-2-2200000000-222-2000000-2200000000000000
χ472-2-2-22-2-222-22-222-220000-222-2000000002-2-22000000-2200000000000000
χ482-2-2-22-2-222-22-222-220000-222-200000000-222-20000002-200000000000000
χ492-2-2-2-222-2-2222-22-22000000002-2-22000000002-2-2200000000000000002-2
χ502-2-2-2-222-2-2222-22-22000000002-2-2200000000-222-20000000000000000-22
χ512-2-2-2-222-2-2222-22-2200000000-222-2000000002-2-220000000000000000-22
χ522-2-2-2-222-2-2222-22-2200000000-222-200000000-222-200000000000000002-2
χ534444-4-4-4-4-4-44-4-4444000000000000000000000000000000000000000000
χ54444-444-4-4-4-4444-4-4-4000000000000000000000000000000000000000000
χ5544-4444-4-444-4-4-44-4-4000000000000000000000000000000000000000000
χ5644-4-44444-4-4-4-4-4-444000000000000000000000000000000000000000000
χ574-4444-4-44-44-44-4-4-44000000000000000000000000000000000000000000
χ584-444-444-44-4-4-44-4-44000000000000000000000000000000000000000000

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