Finite Group Databasebeta

← Group #479768

Character table — Group #479768

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11222222222222222161616161616161616161616161616161616161616161616161616161616
order12222222244444444224444444444444444888888888888
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111
χ51111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111
χ61111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-1
χ71111111111111111111-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-1
χ81111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ911111111111111111-1-111-1-1111111-1-111-1-1-1-111-1-1-1-111-1-1
χ1011111111111111111-1-111-1-111-1-11111-1-111-1-1-1-1-1-111-1-111
χ1111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111
χ1211111111111111111-1-111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1
χ1311111111111111111-1-1-1-1111111-1-111-1-1111111-1-1-1-1-1-1-1-1
χ1411111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1111111
χ1511111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-111-1-1-1-111
χ1611111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-111111111-1-1
χ1722222-2-2-2-222-2-2-2-222000000002-22i−2i002i−2i00000000000000
χ1822222-2-2-2-222-2-2-2-222000000002-2−2i2i00−2i2i00000000000000
χ1922222-2-2-2-222-2-2-2-22200000000-222i−2i00−2i2i00000000000000
χ2022222-2-2-2-222-2-2-2-22200000000-22−2i2i002i−2i00000000000000
χ2122-22-222-2-22-22-22-22-200002-200000000002i−2i002i−2i00000000
χ2222-22-222-2-22-22-22-22-200002-20000000000−2i2i00−2i2i00000000
χ2322-22-222-2-22-22-22-22-20000-2200000000002i−2i00−2i2i00000000
χ2422-22-222-2-22-22-22-22-20000-220000000000−2i2i002i−2i00000000
χ2522-22-222-2-2-22-22-22-222-200000000002i−2i0000000000002i−2i00
χ2622-22-222-2-2-22-22-22-222-20000000000−2i2i000000000000−2i2i00
χ2722-22-222-2-2-22-22-22-22-2200000000002i−2i000000000000−2i2i00
χ2822-22-222-2-2-22-22-22-22-220000000000−2i2i0000000000002i−2i00
χ2922-2-222-22-22-222-2-2-22002i−2i000000000000002i−2i002-2000000
χ3022-2-222-22-22-222-2-2-22002i−2i00000000000000−2i2i00-22000000
χ3122-2-222-22-22-222-2-2-2200−2i2i000000000000002i−2i00-22000000
χ3222-2-222-22-22-222-2-2-2200−2i2i00000000000000−2i2i002-2000000
χ3322-2-22-22-22-2222-2-22-20000002i−2i00000000000000002-2002i−2i
χ3422-2-22-22-22-2222-2-22-20000002i−2i0000000000000000-2200−2i2i
χ3522-2-22-22-22-2222-2-22-2000000−2i2i00000000000000002-200−2i2i
χ3622-2-22-22-22-2222-2-22-2000000−2i2i0000000000000000-22002i−2i
χ37444444444-4-4-4-4-4-4-4-4000000000000000000000000000000
χ3844444-4-4-4-4-4-44444-4-4000000000000000000000000000000
χ39444-4-44-4-44444-4-44-4-4000000000000000000000000000000
χ40444-4-44-4-44-4-4-444-444000000000000000000000000000000
χ41444-4-4-444-444-444-4-4-4000000000000000000000000000000
χ42444-4-4-444-4-4-44-4-4444000000000000000000000000000000
χ4344-44-4-4-4444-4-44-444-4000000000000000000000000000000
χ4444-44-4-4-444-444-44-4-44000000000000000000000000000000
χ4544-4-444-44-4-44-4-4444-4000000000000000000000000000000
χ4644-4-44-44-444-4-4-444-44000000000000000000000000000000
χ4716-16000000000000000000000000000000000000000000000

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