Finite Group Databasebeta

← Group #17271

Character table — Group #17271

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1111111111111111888888888888888888888888888888
order1222222222222222222244444444444444444444444444
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-11111
χ7111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1
χ91111111111111111-1-111-1-111-1-1111111-1-1-1-1-1-111-1-111-1-1
χ101111111111111111-1-111-1-111-1-1-1-1-1-111-1-11111-1-111-1-111
χ111111111111111111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-111
χ121111111111111111-1-111-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1
χ131111111111111111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-111
χ141111111111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ151111111111111111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1
χ161111111111111111-1-1-1-111-1-111-1-11111-1-111-1-111-1-1-1-111
χ1722222222-2-2-2-2-2-2-2-22-22-22-2000000000000000000000000
χ1822222222-2-2-2-2-2-2-2-22-2-22-22000000000000000000000000
χ1922222222-2-2-2-2-2-2-2-2-222-2-22000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-2-22-222-2000000000000000000000000
χ212222-2-2-2-2222-22-2-2-20000000000002-2002i−2i0000002i−2i0000
χ222222-2-2-2-2222-22-2-2-20000000000002-200−2i2i000000−2i2i0000
χ232222-2-2-2-2222-22-2-2-2000000000000-22002i−2i000000−2i2i0000
χ242222-2-2-2-2222-22-2-2-2000000000000-2200−2i2i0000002i−2i0000
χ2522-2-222-2-222-22-22-2-2000000002-2000000002i−2i002i−2i000000
χ2622-2-222-2-222-22-22-2-2000000002-200000000−2i2i00−2i2i000000
χ2722-2-222-2-222-22-22-2-200000000-22000000002i−2i00−2i2i000000
χ2822-2-222-2-222-22-22-2-200000000-2200000000−2i2i002i−2i000000
χ292-22-22-22-22-222-2-22-200000000002-2002i−2i00000000002i−2i00
χ302-22-22-22-22-222-2-22-200000000002-200−2i2i0000000000−2i2i00
χ312-22-22-22-22-222-2-22-20000000000-22002i−2i0000000000−2i2i00
χ322-22-22-22-22-222-2-22-20000000000-2200−2i2i00000000002i−2i00
χ332-2-22-222-2-2222-2-2-220000002-20000000000002i−2i0000002i−2i
χ342-2-22-222-2-2222-2-2-220000002-2000000000000−2i2i000000−2i2i
χ352-2-22-222-2-2222-2-2-22000000-220000000000002i−2i000000−2i2i
χ362-2-22-222-2-2222-2-2-22000000-22000000000000−2i2i0000002i−2i
χ374444-4-4-4-4-4-4-44-4444000000000000000000000000000000
χ3844-4-444-4-4-4-44-44-444000000000000000000000000000000
χ3944-4-4-4-44444-4-4-4-444000000000000000000000000000000
χ4044-4-4-4-444-4-44444-4-4000000000000000000000000000000
χ414-44-44-44-4-44-4-444-44000000000000000000000000000000
χ424-44-4-44-444-44-4-44-44000000000000000000000000000000
χ434-44-4-44-44-44-444-44-4000000000000000000000000000000
χ444-4-444-4-444-4-444-4-44000000000000000000000000000000
χ454-4-444-4-44-444-4-444-4000000000000000000000000000000
χ464-4-44-444-44-4-4-4444-4000000000000000000000000000000

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