Finite Group Databasebeta

← Group #295239

Character table — Group #295239

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444444444444244444444488888888888824
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-11-1-1-111-1-111-1-1-11111-1-1-1-11111-1-1
χ6111111111111111111-1-11-1-1-111-1-111-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-11-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-11-1-1-1-1-111-1-1-111-1-1-1-111111111-1-1
χ911111111-1-1111111-1-111-111-11-11-11-1-11-111-1-111-1-111-1-11-1
χ1011111111-1-1111111-1-111-111-11-11-11-1-11-1-1-111-1-111-1-111-11
χ1111111111-1-1111111-1-111-111-1-11-11-11-1-1111-1-111-1-1-1-111-11
χ1211111111-1-1111111-1-111-111-1-11-11-11-1-11-1-111-1-11111-1-11-1
χ1311111111-1-1111111-1-1-1-1-1-1-111-1-111-11-1111-1-1-1-11111-1-1-11
χ1411111111-1-1111111-1-1-1-1-1-1-111-1-111-11-11-1-11111-1-1-1-1111-1
χ1511111111-1-1111111-1-1-1-1-1-1-11-111-1-1111-111-1-1-1-111-1-1111-1
χ1611111111-1-1111111-1-1-1-1-1-1-11-111-1-1111-1-1-11111-1-111-1-1-11
χ1722222222222-2-2-2-22-2222-2-2-2-200000020000000000000000
χ1822222222222-2-2-2-22-22-2-2-2222000000-20000000000000000
χ192222222222-222-2-2-22-200-20000022000-2-200000000000000
χ202222222222-222-2-2-22-200-200000-2-20002200000000000000
χ212222222222-2-2-222-2-2-20020002200-2-200000000000000000
χ222222222222-2-2-222-2-2-2002000-2-2002200000000000000000
χ2322222222-2-22-2-2-2-222-2222-2-22000000-20000000000000000
χ2422222222-2-22-2-2-2-222-2-2-2222-200000020000000000000000
χ2522222222-2-2-222-2-2-2-22002000002-2000-2200000000000000
χ2622222222-2-2-222-2-2-2-2200200000-220002-200000000000000
χ2722222222-2-2-2-2-222-22200-20002-200-2200000000000000000
χ2822222222-2-2-2-2-222-22200-2000-22002-200000000000000000
χ2922-2-22-2-220022-22-2-2002i−2i02i−2i0000000000002-2002i−2i000000
χ3022-2-22-2-220022-22-2-2002i−2i02i−2i000000000000-2200−2i2i000000
χ3122-2-22-2-220022-22-2-200−2i2i0−2i2i0000000000002-200−2i2i000000
χ3222-2-22-2-220022-22-2-200−2i2i0−2i2i000000000000-22002i−2i000000
χ3322-2-22-2-22002-22-22-2002i−2i0−2i2i00000000002-2002i−2i00000000
χ3422-2-22-2-22002-22-22-2002i−2i0−2i2i0000000000-2200−2i2i00000000
χ3522-2-22-2-22002-22-22-200−2i2i02i−2i00000000002-200−2i2i00000000
χ3622-2-22-2-22002-22-22-200−2i2i02i−2i0000000000-22002i−2i00000000
χ3744-4-44-4-4400-44-4-4440000000000000000000000000000000
χ3844-4-44-4-4400-4-444-440000000000000000000000000000000
χ394-4-44-4-4444-400000000000000000000000000000002-22-200
χ404-4-44-4-4444-40000000000000000000000000000000-22-2200
χ414-4-44-4-444-4400000000000000000000000000000002-2-2200
χ424-4-44-4-444-440000000000000000000000000000000-222-200
χ43888-8-8-88-8000000000000000000000000000000000000000
χ4488-88-88-8-8000000000000000000000000000000000000000
χ458-8888-8-8-8000000000000000000000000000000000000000
χ468-88-8-88-88000000000000000000000000000000000000000
χ478-8-8-8888-8000000000000000000000000000000000000000

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