Finite Group Databasebeta

← Group #268251

Character table — Group #268251

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444442444444224444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-111
χ411111111111111111111111-1-1-1-1-1-11-11-1-1-1-1-111111111-1-1
χ5111111111111111111-1-11-1-11-111-1-1-1-1-1111111111-1-1-1-1-1-1
χ6111111111111111111-1-11-1-11-111-1-1-1-1-11-1-1-1-1-1-1-1-1111111
χ7111111111111111111-1-11-1-1-11-1-111-11-1-11111-1-1-1-11111-1-1
χ8111111111111111111-1-11-1-1-11-1-111-11-1-1-1-1-1-11111-1-1-1-111
χ911111111-1-1111111-1-111-11111-1-1-1-1-11-1111-1-111-1-111-1-11-1
χ1011111111-1-1111111-1-111-11111-1-1-1-1-11-11-1-111-1-111-1-111-11
χ1111111111-1-1111111-1-111-111-1-11111-1-1-1-111-1-1-1-111-1-1111-1
χ1211111111-1-1111111-1-111-111-1-11111-1-1-1-1-1-11111-1-111-1-1-11
χ1311111111-1-1111111-1-1-1-1-1-1-11-1-1-1111-11111-1-111-1-1-1-111-11
χ1411111111-1-1111111-1-1-1-1-1-1-11-1-1-1111-111-1-111-1-11111-1-11-1
χ1511111111-1-1111111-1-1-1-1-1-1-1-1111-1-1111-111-1-1-1-11111-1-1-11
χ1611111111-1-1111111-1-1-1-1-1-1-1-1111-1-1111-1-1-11111-1-1-1-1111-1
χ1722222222222-2-2-22-2-2-20020002002-20-20000000000000000
χ1822222222222-2-2-22-2-2-2002000-200-22020000000000000000
χ192222222222-22-2-2-22-2200-20020-2200000-200000000000000
χ202222222222-22-2-2-22-2200-200-202-200000200000000000000
χ212222222222-2-222-2-22-222-2-2-2000000-202000000000000000
χ222222222222-2-222-2-22-2-2-2-22200000020-2000000000000000
χ2322222222-2-22-2-2-22-22200-2000200-220-20000000000000000
χ2422222222-2-22-2-2-22-22200-2000-2002-2020000000000000000
χ2522222222-2-2-22-2-2-222-200200202-200000-200000000000000
χ2622222222-2-2-22-2-2-222-200200-20-2200000200000000000000
χ2722222222-2-2-2-222-2-2-22222-2-200000020-2000000000000000
χ2822222222-2-2-2-222-2-2-22-2-2222000000-202000000000000000
χ292-22-2-2-22200222-2-2-2002-202-2000000000000002i−2i002i−2i0000
χ302-22-2-2-22200222-2-2-2002-202-200000000000000−2i2i00−2i2i0000
χ312-22-2-2-22200222-2-2-200-220-22000000000000002i−2i00−2i2i0000
χ322-22-2-2-22200222-2-2-200-220-2200000000000000−2i2i002i−2i0000
χ332-22-2-2-22200-2-22-222002-20-2200000000000000002-2002-200
χ342-22-2-2-22200-2-22-222002-20-220000000000000000-2200-2200
χ352-22-2-2-22200-2-22-22200-2202-200000000000000002-200-2200
χ362-22-2-2-22200-2-22-22200-2202-20000000000000000-22002-200
χ37444-44-4-4-44-4000000000000000000000002-22-20000000000
χ38444-44-4-4-44-400000000000000000000000-22-220000000000
χ39444-44-4-4-4-44000000000000000000000002-2-220000000000
χ40444-44-4-4-4-4400000000000000000000000-222-20000000000
χ414-44-4-4-444004-4-44-440000000000000000000000000000000
χ424-44-4-4-44400-44-444-40000000000000000000000000000000
χ4388-88-8-88-8000000000000000000000000000000000000000
χ4488-8-8-88-88000000000000000000000000000000000000000
χ458-888-88-8-8000000000000000000000000000000000000000
χ468-8-888-8-88000000000000000000000000000000000000000
χ478-8-8-8888-8000000000000000000000000000000000000000

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