Finite Group Databasebeta

← Group #476705

Character table — Group #476705

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11222222222222222161616161616161616161616161616161616161616161616161616161616
order12222222244444444224444444444444444888888888888
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111
χ5111111111111111111-11-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1
χ6111111111111111111-11-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111
χ7111111111111111111-11-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111
χ8111111111111111111-11-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ911111111111111111-11-1111-1-111-1-111-1-111-1-1-1-1-1-11111-1-1
χ1011111111111111111-11-1111-1-1-1-111-1-1-1-1-1-11111-1-111-1-111
χ1111111111111111111-11-11-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111
χ1211111111111111111-11-11-1-111-1-1111111-1-111-1-1-1-1-1-111-1-1
χ1311111111111111111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-11111
χ1411111111111111111-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-1-1-1
χ1511111111111111111-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1
χ1611111111111111111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-111111111
χ1722222-2-2-2-222-2-22-22-200002-2002i−2i00000000000000002i−2i00
χ1822222-2-2-2-222-2-22-22-200002-200−2i2i0000000000000000−2i2i00
χ1922222-2-2-2-222-2-22-22-20000-22002i−2i0000000000000000−2i2i00
χ2022222-2-2-2-222-2-22-22-20000-2200−2i2i00000000000000002i−2i00
χ2122222-2-2-2-2-2-222-22-2220-200000000000002i−2i2i−2i0000000000
χ2222222-2-2-2-2-2-222-22-2220-20000000000000−2i2i−2i2i0000000000
χ2322222-2-2-2-2-2-222-22-22-20200000000000002i−2i−2i2i0000000000
χ2422222-2-2-2-2-2-222-22-22-2020000000000000−2i2i2i−2i0000000000
χ25222-2-222-2-22-22-222-2-200000000002-22i−2i2i−2i00000000000000
χ26222-2-222-2-22-22-222-2-200000000002-2−2i2i−2i2i00000000000000
χ27222-2-222-2-22-22-222-2-20000000000-222i−2i−2i2i00000000000000
χ28222-2-222-2-22-22-222-2-20000000000-22−2i2i2i−2i00000000000000
χ2922-22-22-22-2-2-2-2-22222020-200000000000000002-20000002-2
χ3022-22-22-22-2-2-2-2-22222020-20000000000000000-22000000-22
χ3122-22-22-22-2-2-2-2-222220-20200000000000000002-2000000-22
χ3222-22-22-22-2-2-2-2-222220-2020000000000000000-220000002-2
χ3322-2-222-2-222-22-2-2-2220000002-2000000000000002-22-20000
χ3422-2-222-2-222-22-2-2-2220000002-200000000000000-22-220000
χ3522-2-222-2-222-22-2-2-222000000-22000000000000002-2-220000
χ3622-2-222-2-222-22-2-2-222000000-2200000000000000-222-20000
χ37444444444-4-4-4-4-4-4-4-4000000000000000000000000000000
χ38444-4-444-4-4-44-44-4-444000000000000000000000000000000
χ39444-4-4-4-4444-4-444-4-44000000000000000000000000000000
χ40444-4-4-4-444-444-4-444-4000000000000000000000000000000
χ4144-44-44-44-44444-4-4-4-4000000000000000000000000000000
χ4244-44-4-44-4444-4-4-44-44000000000000000000000000000000
χ4344-44-4-44-44-4-4444-44-4000000000000000000000000000000
χ4444-4-444-4-44-44-4444-4-4000000000000000000000000000000
χ4544-4-44-444-44-4-44-444-4000000000000000000000000000000
χ4644-4-44-444-4-444-44-4-44000000000000000000000000000000
χ4716-16000000000000000000000000000000000000000000000

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