Finite Group Databasebeta

← Group #290942

Character table — Group #290942

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222224444444444444444444444488888888888824
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-111
χ411111111111111111111111-1-11-1-1-1-11-1-1-1-1-1-111111111-1-1
χ5111111111111111111-1-11-1-11-1-11-11-1-11-111111111-1-1-1-1-1-1
χ6111111111111111111-1-11-1-11-1-11-11-1-11-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111-1-11-1-1-11-1-11-11-1-111111-1-1-1-11111-1-1
χ8111111111111111111-1-11-1-1-11-1-11-11-1-11-1-1-1-11111-1-1-1-111
χ911111111-1-1111111-1-111-1111-1-1-11-11-11-111-1-111-1-111-1-11-1
χ1011111111-1-1111111-1-111-1111-1-1-11-11-11-1-1-111-1-111-1-111-11
χ1111111111-1-1111111-1-111-111-11-11-11-1-1-1111-1-1-1-111-1-1111-1
χ1211111111-1-1111111-1-111-111-11-11-11-1-1-11-1-11111-1-111-1-1-11
χ1311111111-1-1111111-1-1-1-1-1-1-1111-1-1-1-111111-1-111-1-1-1-111-11
χ1411111111-1-1111111-1-1-1-1-1-1-1111-1-1-1-1111-1-111-1-11111-1-11-1
χ1511111111-1-1111111-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-11
χ1611111111-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111-1
χ1722222222222-2-2-22-22-200-200020020-200-200000000000000
χ1822222222222-2-2-22-22-200-2000-200-20200200000000000000
χ192222222222-22-2-2-22-2200-20020020-200-2000000000000000
χ202222222222-22-2-2-22-2200-200-200-202002000000000000000
χ212222222222-2-222-2-2-2-2222-2-20020000-20000000000000000
χ222222222222-2-222-2-2-2-2-2-222200-2000020000000000000000
χ2322222222-2-22-2-2-22-2-22002000200-20200-200000000000000
χ2422222222-2-22-2-2-22-2-22002000-20020-200200000000000000
χ2522222222-2-2-22-2-2-222-200200200-20200-2000000000000000
χ2622222222-2-2-22-2-2-222-200200-20020-2002000000000000000
χ2722222222-2-2-2-222-2-22222-2-2-200-2000020000000000000000
χ2822222222-2-2-2-222-2-222-2-2-2220020000-20000000000000000
χ292-2-222-22-2002-22-2-22002i−2i02i−2i00000000000000002i−2i002-200
χ302-2-222-22-2002-22-2-22002i−2i02i−2i0000000000000000−2i2i00-2200
χ312-2-222-22-2002-22-2-2200−2i2i0−2i2i00000000000000002i−2i00-2200
χ322-2-222-22-2002-22-2-2200−2i2i0−2i2i0000000000000000−2i2i002-200
χ332-2-222-22-200-222-22-2002i−2i0−2i2i000000000000002-2002i−2i0000
χ342-2-222-22-200-222-22-2002i−2i0−2i2i00000000000000-2200−2i2i0000
χ352-2-222-22-200-222-22-200−2i2i02i−2i000000000000002-200−2i2i0000
χ362-2-222-22-200-222-22-200−2i2i02i−2i00000000000000-22002i−2i0000
χ374-4-444-44-40044-44-4-40000000000000000000000000000000
χ384-4-444-44-400-4-4-44440000000000000000000000000000000
χ394-4-4-4-44444-4000000000000000000000002-22-20000000000
χ404-4-4-4-44444-400000000000000000000000-22-220000000000
χ414-4-4-4-4444-44000000000000000000000002-2-220000000000
χ424-4-4-4-4444-4400000000000000000000000-222-20000000000
χ43888-8-8-88-8000000000000000000000000000000000000000
χ4488-88-88-8-8000000000000000000000000000000000000000
χ4588-8-88-8-88000000000000000000000000000000000000000
χ468-888-8-8-88000000000000000000000000000000000000000
χ478-88-888-8-8000000000000000000000000000000000000000

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