Finite Group Databasebeta

← Group #290901

Character table — Group #290901

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222224444444444444244444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ411111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111111111-1-1-1-11-1-1-111-1-11-111111111-1-1-1-1-1-1
χ61111111111111111111-1-1-1-11-1-1-111-1-11-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111-1-1-1-1-11-1-1-1-111-111111-1-1-1-11111-1-1
χ81111111111111111111-1-1-1-1-11-1-1-1-111-11-1-1-1-11111-1-1-1-111
χ911111111-1-1111111-1-1-111111-1-1-11-11-1-1111-1-111-1-111-1-11-1
χ1011111111-1-1111111-1-1-111111-1-1-11-11-1-11-1-111-1-111-1-111-11
χ1111111111-1-1111111-1-1-11111-11-1-1-11-111-111-1-1-1-111-1-1111-1
χ1211111111-1-1111111-1-1-11111-11-1-1-11-111-1-1-11111-1-111-1-1-11
χ1311111111-1-1111111-1-1-1-1-1-1-111111-1-11-1-111-1-111-1-1-1-111-11
χ1411111111-1-1111111-1-1-1-1-1-1-111111-1-11-1-1-1-111-1-11111-1-11-1
χ1511111111-1-1111111-1-1-1-1-1-1-1-1-111-111-11111-1-1-1-11111-1-1-11
χ1611111111-1-1111111-1-1-1-1-1-1-1-1-111-111-111-1-11111-1-1-1-1111-1
χ1722222222222-2-2-22-2-22-200000200002-20-200000000000000
χ1822222222222-2-2-22-2-22-200000-20000-220200000000000000
χ192222222222-22-2-2-22-2-2200002000-2200-2000000000000000
χ202222222222-22-2-2-22-2-220000-20002-2002000000000000000
χ212222222222-2-222-2-22-2-222-2-2002-200000000000000000000
χ222222222222-2-222-2-22-2-2-2-22200-2200000000000000000000
χ2322222222-2-22-2-2-22-22-220000020000-2-20200000000000000
χ2422222222-2-22-2-2-22-22-2200000-20000220-200000000000000
χ2522222222-2-2-22-2-2-2222-200002000-2-2002000000000000000
χ2622222222-2-2-22-2-2-2222-20000-20002200-2000000000000000
χ2722222222-2-2-2-222-2-2-22222-2-200-2200000000000000000000
χ2822222222-2-2-2-222-2-2-222-2-222002-200000000000000000000
χ292-2222-2-2-2002-22-2-220002i−2i2i−2i000000000000002i−2i002-20000
χ302-2222-2-2-2002-22-2-220002i−2i2i−2i00000000000000−2i2i00-220000
χ312-2222-2-2-2002-22-2-22000−2i2i−2i2i000000000000002i−2i00-220000
χ322-2222-2-2-2002-22-2-22000−2i2i−2i2i00000000000000−2i2i002-20000
χ332-2222-2-2-200-222-22-20002i−2i−2i2i00000000000000002-2002i−2i00
χ342-2222-2-2-200-222-22-20002i−2i−2i2i0000000000000000-2200−2i2i00
χ352-2222-2-2-200-222-22-2000−2i2i2i−2i00000000000000002-200−2i2i00
χ362-2222-2-2-200-222-22-2000−2i2i2i−2i0000000000000000-22002i−2i00
χ374-4444-4-4-40044-44-4-40000000000000000000000000000000
χ384-4444-4-4-400-4-4-44440000000000000000000000000000000
χ394-44-4-444-44-4000000000000000000000002i−2i2i−2i0000000000
χ404-44-4-444-44-400000000000000000000000−2i2i−2i2i0000000000
χ414-44-4-444-4-44000000000000000000000002i−2i−2i2i0000000000
χ424-44-4-444-4-4400000000000000000000000−2i2i2i−2i0000000000
χ43888-8-8-8-88000000000000000000000000000000000000000
χ4488-88-88-8-8000000000000000000000000000000000000000
χ4588-8-88-88-8000000000000000000000000000000000000000
χ468-8-88-8-888000000000000000000000000000000000000000
χ478-8-8-888-88000000000000000000000000000000000000000

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