Finite Group Databasebeta

← Group #268249

Character table — Group #268249

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444442444444244444444488888888888824
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-11-11-1-11111-1-1-1-1-1-1-1-111
χ411111111111111111111111-1-1-1-1-11-11-1-1-1-1-1-111111111-1-1
χ5111111111111111111-1-11-1-1111-1-1-1-1-11-111111111-1-1-1-1-1-1
χ6111111111111111111-1-11-1-1111-1-1-1-1-11-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111-1-11-1-1-1-1-111-11-1-111111-1-1-1-11111-1-1
χ8111111111111111111-1-11-1-1-1-1-111-11-1-11-1-1-1-11111-1-1-1-111
χ911111111-1-1111111-1-111-1111-1-11-1-1-1-11111-1-111-1-111-1-11-1
χ1011111111-1-1111111-1-111-1111-1-11-1-1-1-111-1-111-1-111-1-111-11
χ1111111111-1-1111111-1-111-111-111-11-11-1-1-111-1-1-1-111-1-1111-1
χ1211111111-1-1111111-1-111-111-111-11-11-1-1-1-1-11111-1-111-1-1-11
χ1311111111-1-1111111-1-1-1-1-1-1-11-1-1-111111-111-1-111-1-1-1-111-11
χ1411111111-1-1111111-1-1-1-1-1-1-11-1-1-111111-1-1-111-1-11111-1-11-1
χ1511111111-1-1111111-1-1-1-1-1-1-1-1111-11-11-1111-1-1-1-11111-1-1-11
χ1611111111-1-1111111-1-1-1-1-1-1-1-1111-11-11-11-1-11111-1-1-1-1111-1
χ1722222222222-2-2-22-2-2-2002000002-20200-200000000000000
χ1822222222222-2-2-22-2-2-200200000-220-200200000000000000
χ192222222222-22-2-2-22-2200-20022-200000-2000000000000000
χ202222222222-22-2-2-22-2200-200-2-22000002000000000000000
χ212222222222-2-222-2-22-222-2-2-200000-2020000000000000000
χ222222222222-2-222-2-22-2-2-2-2220000020-20000000000000000
χ2322222222-2-22-2-2-22-22200-200000220-200-200000000000000
χ2422222222-2-22-2-2-22-22200-200000-2-20200200000000000000
χ2522222222-2-2-22-2-2-222-2002002-2200000-2000000000000000
χ2622222222-2-2-22-2-2-222-200200-22-2000002000000000000000
χ2722222222-2-2-2-222-2-2-22222-2-20000020-20000000000000000
χ2822222222-2-2-2-222-2-2-22-2-222200000-2020000000000000000
χ292-2-22-22-2200222-2-2-2002-202-200000000000000002i−2i002i−2i00
χ302-2-22-22-2200222-2-2-2002-202-20000000000000000−2i2i00−2i2i00
χ312-2-22-22-2200222-2-2-200-220-2200000000000000002i−2i00−2i2i00
χ322-2-22-22-2200222-2-2-200-220-220000000000000000−2i2i002i−2i00
χ332-2-22-22-2200-2-22-222002-20-22000000000000002-2002-20000
χ342-2-22-22-2200-2-22-222002-20-2200000000000000-2200-220000
χ352-2-22-22-2200-2-22-22200-2202-2000000000000002-200-220000
χ362-2-22-22-2200-2-22-22200-2202-200000000000000-22002-20000
χ374-444-4-44-44-4000000000000000000000002i−2i2i−2i0000000000
χ384-444-4-44-44-400000000000000000000000−2i2i−2i2i0000000000
χ394-444-4-44-4-44000000000000000000000002i−2i−2i2i0000000000
χ404-444-4-44-4-4400000000000000000000000−2i2i2i−2i0000000000
χ414-4-44-44-44004-4-44-440000000000000000000000000000000
χ424-4-44-44-4400-44-444-40000000000000000000000000000000
χ43888-8-88-8-8000000000000000000000000000000000000000
χ4488-888-8-8-8000000000000000000000000000000000000000
χ4588-8-8-8-888000000000000000000000000000000000000000
χ468-88-88-8-88000000000000000000000000000000000000000
χ478-8-8-8888-8000000000000000000000000000000000000000

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