Finite Group Databasebeta

← Group #478528

Character table — Group #478528

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11222222222222222161616161616161616161616161616161616161616161616161616161616
order12222222244444444224444444444444444888888888888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-111-1-111-1-1-1-111-1-111-1-1-1-1-1-1
χ3111111111111111111111-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-1
χ4111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111
χ71111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111
χ81111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-111-1-1
χ911111111111111111-1-1111111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1
χ1011111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111
χ1111111111111111111-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111
χ1211111111111111111-1-111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1
χ1311111111111111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-111
χ1411111111111111111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-11111-1-1
χ1511111111111111111-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-111-1-1
χ1611111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-111
χ17222-222-2-2-222-2-2-2-222000000002i−2i00000000002i−2i002-20000
χ18222-222-2-2-222-2-2-2-222000000002i−2i0000000000−2i2i00-220000
χ19222-222-2-2-222-2-2-2-22200000000−2i2i00000000002i−2i00-220000
χ20222-222-2-2-222-2-2-2-22200000000−2i2i0000000000−2i2i002-20000
χ2122-222-2-2-222-222-2-22-2002i−2i0000002i−2i00002-2000000000000
χ2222-222-2-2-222-222-2-22-2002i−2i000000−2i2i0000-22000000000000
χ2322-222-2-2-222-222-2-22-200−2i2i0000002i−2i0000-22000000000000
χ2422-222-2-2-222-222-2-22-200−2i2i000000−2i2i00002-2000000000000
χ2522-2-22-222-2-2222-2-2-222-200000000000000002i−2i002i−2i000000
χ2622-2-22-222-2-2222-2-2-222-20000000000000000−2i2i00−2i2i000000
χ2722-2-22-222-2-2222-2-2-22-2200000000000000002i−2i00−2i2i000000
χ2822-2-22-222-2-2222-2-2-22-220000000000000000−2i2i002i−2i000000
χ2922-2-2-222-22222-22-2-2-20000002i−2i00002-20000000000002i−2i00
χ3022-2-2-222-22222-22-2-2-20000002i−2i0000-22000000000000−2i2i00
χ3122-2-2-222-22222-22-2-2-2000000−2i2i00002-2000000000000−2i2i00
χ3222-2-2-222-22222-22-2-2-2000000−2i2i0000-220000000000002i−2i00
χ3322-2-2-222-22-2-2-22-222200002-2000000002-20000000000002-2
χ3422-2-2-222-22-2-2-22-222200002-200000000-22000000000000-22
χ3522-2-2-222-22-2-2-22-22220000-22000000002-2000000000000-22
χ3622-2-2-222-22-2-2-22-22220000-2200000000-220000000000002-2
χ37444444444-4-4-4-4-4-4-4-4000000000000000000000000000000
χ384444-4-44-4-44-4-444-4-44000000000000000000000000000000
χ394444-4-44-4-4-444-4-444-4000000000000000000000000000000
χ40444-444-4-4-4-4-44444-4-4000000000000000000000000000000
χ41444-4-4-4-4444-44-4-44-44000000000000000000000000000000
χ42444-4-4-4-444-44-444-44-4000000000000000000000000000000
χ4344-444-4-4-44-44-4-444-44000000000000000000000000000000
χ4444-44-44-44-444-44-44-4-4000000000000000000000000000000
χ4544-44-44-44-4-4-44-44-444000000000000000000000000000000
χ4644-4-44-444-44-4-4-4444-4000000000000000000000000000000
χ4716-16000000000000000000000000000000000000000000000

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