Finite Group Databasebeta

← Group #297176

Character table — Group #297176

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444444444444244444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-111-1-11-111-111-1-1-1-11111-1-1-1-11111-1-1
χ61111111111111111-1-111-1-11-111-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111-1-111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111-1-111-1-11-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ911111111-1-111111111-1-111-1-11-1-11-11-11-111-1-111-1-111-1-11-1
χ1011111111-1-111111111-1-111-1-11-1-11-11-11-1-1-111-1-111-1-111-11
χ1111111111-1-111111111-1-111-1-1-11-1-11-11-1111-1-111-1-1-1-111-11
χ1211111111-1-111111111-1-111-1-1-11-1-11-11-11-1-111-1-11111-1-11-1
χ1311111111-1-1111111-1-1-1-1-1-1-111-111-1-11-1111-1-1-1-11111-1-1-11
χ1411111111-1-1111111-1-1-1-1-1-1-111-111-1-11-11-1-11111-1-1-1-1111-1
χ1511111111-1-1111111-1-1-1-1-1-1-11-111-111-11-111-1-1-1-111-1-1111-1
χ1611111111-1-1111111-1-1-1-1-1-1-11-111-111-11-1-1-11111-1-111-1-1-11
χ1722222222222-2-2-2-2222-22-2-2-2200-200000000000000000000
χ1822222222222-2-2-2-22-2-2-2222-2-200200000000000000000000
χ192222222222-222-2-2-200-2-20020220-2-2000000000000000000
χ202222222222-222-2-2-200-2-20020-2-2022000000000000000000
χ212222222222-2-2-222-2002-200-200000022-2-200000000000000
χ222222222222-2-2-222-2002-200-2000000-2-22200000000000000
χ2322222222-2-22-2-2-2-22222-2-2-22-200200000000000000000000
χ2422222222-2-22-2-2-2-22-2-22-2222200-200000000000000000000
χ2522222222-2-2-222-2-2-2002200-202-20-22000000000000000000
χ2622222222-2-2-222-2-2-2002200-20-2202-2000000000000000000
χ2722222222-2-2-2-2-222-200-220020000002-2-2200000000000000
χ2822222222-2-2-2-2-222-200-22002000000-222-200000000000000
χ2922-22-22-2-200-22-22-222i−2i002i−2i00000000000002-2002i−2i000000
χ3022-22-22-2-200-22-22-222i−2i002i−2i0000000000000-2200−2i2i000000
χ3122-22-22-2-200-22-22-22−2i2i00−2i2i00000000000002-200−2i2i000000
χ3222-22-22-2-200-22-22-22−2i2i00−2i2i0000000000000-22002i−2i000000
χ3322-22-22-2-200-2-22-2222i−2i00−2i2i000000000002-2002i−2i00000000
χ3422-22-22-2-200-2-22-2222i−2i00−2i2i00000000000-2200−2i2i00000000
χ3522-22-22-2-200-2-22-222−2i2i002i−2i000000000002-200−2i2i00000000
χ3622-22-22-2-200-2-22-222−2i2i002i−2i00000000000-22002i−2i00000000
χ3744-44-44-4-40044-4-44-40000000000000000000000000000000
χ3844-44-44-4-4004-444-4-40000000000000000000000000000000
χ394-44-4-444-44-400000000000000000000000000000002i−2i2i−2i00
χ404-44-4-444-44-40000000000000000000000000000000−2i2i−2i2i00
χ414-44-4-444-4-4400000000000000000000000000000002i−2i−2i2i00
χ424-44-4-444-4-440000000000000000000000000000000−2i2i2i−2i00
χ43888-8-8-8-88000000000000000000000000000000000000000
χ4488-8-88-88-8000000000000000000000000000000000000000
χ458-8888-8-8-8000000000000000000000000000000000000000
χ468-8-88-8-888000000000000000000000000000000000000000
χ478-8-8-888-88000000000000000000000000000000000000000

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