Finite Group Databasebeta

← Group #477176

Character table — Group #477176

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11222222222222222161616161616161616161616161616161616161616161616161616161616
order12222222244444444224444444444444444444488888888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1
χ4111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111
χ5111111111111111111-11-111-1-111-1-111-1-1-1-1-1-11111-1-111-1-1
χ6111111111111111111-11-111-1-111-1-1-1-111-1-111-1-1-1-111-1-111
χ7111111111111111111-11-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ8111111111111111111-11-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1
χ911111111111111111-11-1111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111
χ1011111111111111111-11-1111-1-1-1-111-1-111-1-111-1-111-1-111-1-1
χ1111111111111111111-11-11-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1
χ1211111111111111111-11-11-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111
χ1311111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ1411111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111
χ1511111111111111111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111
χ1611111111111111111-1-1-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1
χ17222222222-2-2-2-2-2-2-2-200002-22-2000000002-2000000000000
χ18222222222-2-2-2-2-2-2-2-200002-2-2200000000-22000000000000
χ19222222222-2-2-2-2-2-2-2-20000-222-200000000-22000000000000
χ20222222222-2-2-2-2-2-2-2-20000-22-22000000002-2000000000000
χ21222-2-222-2-2222-22-2-2-2020-200000000002i−2i00000000002i−2i00
χ22222-2-222-2-2222-22-2-2-2020-20000000000−2i2i0000000000−2i2i00
χ23222-2-222-2-2222-22-2-2-20-20200000000002i−2i0000000000−2i2i00
χ24222-2-222-2-2222-22-2-2-20-2020000000000−2i2i00000000002i−2i00
χ25222-2-2-2-2222-2-2-2222-2000000002-2000000002-2000000002-2
χ26222-2-2-2-2222-2-2-2222-2000000002-200000000-2200000000-22
χ27222-2-2-2-2222-2-2-2222-200000000-22000000002-200000000-22
χ28222-2-2-2-2222-2-2-2222-200000000-2200000000-22000000002-2
χ2922-22-22-22-222-22-22-2-220-20000000002i−2i000000002i−2i000000
χ3022-22-22-22-222-22-22-2-220-2000000000−2i2i00000000−2i2i000000
χ3122-22-22-22-222-22-22-2-2-2020000000002i−2i00000000−2i2i000000
χ3222-22-22-22-222-22-22-2-2-202000000000−2i2i000000002i−2i000000
χ3322-22-2-22-22-22-2-222-2200000000002-2000000002-2002-20000
χ3422-22-2-22-22-22-2-222-2200000000002-200000000-2200-220000
χ3522-22-2-22-22-22-2-222-220000000000-22000000002-200-220000
χ3622-22-2-22-22-22-2-222-220000000000-2200000000-22002-20000
χ3744444-4-4-4-44-4-444-4-44000000000000000000000000000000
χ3844444-4-4-4-4-444-4-444-4000000000000000000000000000000
χ39444-4-444-4-4-4-4-44-4444000000000000000000000000000000
χ40444-4-4-4-444-4444-4-4-44000000000000000000000000000000
χ4144-44-44-44-4-4-44-44-444000000000000000000000000000000
χ4244-44-4-44-444-444-4-44-4000000000000000000000000000000
χ4344-4-444-4-4444-4-4-4-444000000000000000000000000000000
χ4444-4-444-4-44-4-44444-4-4000000000000000000000000000000
χ4544-4-44-444-44-44-4-44-44000000000000000000000000000000
χ4644-4-44-444-4-44-444-44-4000000000000000000000000000000
χ4716-16000000000000000000000000000000000000000000000

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