Finite Group Databasebeta

← Group #477000

Character table — Group #477000

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11222222222222222161616161616161616161616161616161616161616161616161616161616
order12222222244444444224444444444448888888888888888
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1
χ3111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111
χ5111111111111111111-11-1111111-1-111-1-111-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111-11-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-111
χ7111111111111111111-11-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111
χ8111111111111111111-11-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ911111111111111111-11-1111-1-111-1-1-1-1-1-111-1-1-1-11111-1-111
χ1011111111111111111-11-1111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1
χ1111111111111111111-11-11-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1
χ1211111111111111111-11-11-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111
χ1311111111111111111-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-1
χ1411111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-11111
χ1511111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-111
χ1611111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1
χ17222222222-2-2-2-2-2-2-2-20000002-20000002i−2i0000000000002i−2i
χ18222222222-2-2-2-2-2-2-2-20000002-2000000−2i2i000000000000−2i2i
χ19222222222-2-2-2-2-2-2-2-2000000-220000002i−2i000000000000−2i2i
χ20222222222-2-2-2-2-2-2-2-2000000-22000000−2i2i0000000000002i−2i
χ212222-2-22-2-222-22-2-22-220-20000000002i−2i002i−2i000000000000
χ222222-2-22-2-222-22-2-22-220-2000000000−2i2i00−2i2i000000000000
χ232222-2-22-2-222-22-2-22-2-2020000000002i−2i00−2i2i000000000000
χ242222-2-22-2-222-22-2-22-2-202000000000−2i2i002i−2i000000000000
χ25222-22-2-22-2-2-2-222-222020-200002-20000000000002-2000000
χ26222-22-2-22-2-2-2-222-222020-20000-22000000000000-22000000
χ27222-22-2-22-2-2-2-222-2220-20200002-2000000000000-22000000
χ28222-22-2-22-2-2-2-222-2220-2020000-220000000000002-2000000
χ2922-22-2-2-2222-2-22-22-220000000000000000002-200002-22-200
χ3022-22-2-2-2222-2-22-22-220000000000000000002-20000-22-2200
χ3122-22-2-2-2222-2-22-22-22000000000000000000-2200002-2-2200
χ3222-22-2-2-2222-2-22-22-22000000000000000000-220000-222-200
χ3322-2-22-22-222-22-2-2-22200002-200002-2000000002-200000000
χ3422-2-22-22-222-22-2-2-22200002-20000-2200000000-2200000000
χ3522-2-22-22-222-22-2-2-2220000-2200002-200000000-2200000000
χ3622-2-22-22-222-22-2-2-2220000-220000-22000000002-200000000
χ374444-4-44-4-4-4-44-444-44000000000000000000000000000000
χ38444-44-4-44-4444-4-44-4-4000000000000000000000000000000
χ39444-4-44-4-4444-4-44-4-44000000000000000000000000000000
χ40444-4-44-4-44-4-444-444-4000000000000000000000000000000
χ4144-4444-4-4-44-4444-4-4-4000000000000000000000000000000
χ4244-4444-4-4-4-44-4-4-4444000000000000000000000000000000
χ4344-44-4-4-444-444-44-44-4000000000000000000000000000000
χ4444-4-44-44-44-44-4444-4-4000000000000000000000000000000
χ4544-4-4-4444-44-4-4-4444-4000000000000000000000000000000
χ4644-4-4-4444-4-4444-4-4-44000000000000000000000000000000
χ4716-16000000000000000000000000000000000000000000000

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