Finite Group Databasebeta

← Group #505192

Character table — Group #505192

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size112222222444488888888888816161616161616161616161616161616161616163232
order1222244448888222444448888244444488888161616161616161644
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1-1-111-1-1-1111-1-1-1-111-1-111-1-11-1
χ41111111111111111111-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-111-1-111-11
χ5111111111111111-111-11111-1-1-1-111-111-111-1-1-1-11111-1-1-1-1
χ6111111111111111-111-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111
χ7111111111111111-111-1-1-1-1-111-1-1-1-1111-1-1-111-1-1-1-11111-11
χ8111111111111111-111-1-1-1-1-111-1-1-1-11-1-1-111111111-1-1-1-11-1
χ91111111111111-1-11-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111
χ101111111111111-1-11-1-11111111-1-1-1-11-1-11-1-1-1-111111111-1-1
χ111111111111111-1-11-1-11-1-1-1-1-1-1-1-111-1111-1-111-1-111-1-1111-1
χ121111111111111-1-11-1-11-1-1-1-1-1-1-1-111-1-1-11111111-1-111-1-1-11
χ131111111111111-1-1-1-1-1-11111-1-111-1-1-111-1111111-1-1-1-111-1-1
χ141111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-11111-1-111
χ151111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-11111-1-1-1-1-11
χ161111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-111-1-1-1-1-1-111111-1
χ17222222222-2-2-2-200200222-2-2220000-200-200000000000000
χ18222222222-2-2-2-2002002-2-222-2-20000200-200000000000000
χ19222222222-2-2-2-200-200-222-2-2-2-20000200200000000000000
χ20222222222-2-2-2-200-200-2-2-222220000-200200000000000000
χ21222-2-2-222-22-2-220000002i−2i2i−2i002-2000000002i−2i0000000000
χ22222-2-2-222-22-2-220000002i−2i2i−2i00-2200000000−2i2i0000000000
χ23222-2-2-222-22-2-22000000−2i2i−2i2i002-200000000−2i2i0000000000
χ24222-2-2-222-22-2-22000000−2i2i−2i2i00-22000000002i−2i0000000000
χ25222-2-2-222-2-222-22-202-202i−2i−2i2i00002i−2i000000000000000000
χ26222-2-2-222-2-222-22-202-20−2i2i2i−2i0000−2i2i000000000000000000
χ27222-2-2-222-2-222-2-220-2202i−2i−2i2i0000−2i2i000000000000000000
χ28222-2-2-222-2-222-2-220-220−2i2i2i−2i00002i−2i000000000000000000
χ2922-22-222-2-222-2-2220-2-20000000000000002i−2i00002i−2i000000
χ3022-22-222-2-222-2-2220-2-2000000000000000−2i2i0000−2i2i000000
χ3122-22-222-2-222-2-2-2-20220000000000000002i−2i0000−2i2i000000
χ3222-22-222-2-222-2-2-2-2022000000000000000−2i2i00002i−2i000000
χ3322-2-22-22-22-22-222-20-220000000000002-20000000002-20000
χ3422-2-22-22-22-22-222-20-22000000000000-22000000000-220000
χ3522-2-22-22-22-22-22-2202-20000000000002-2000000000-220000
χ3622-2-22-22-22-22-22-2202-2000000000000-220000000002-20000
χ3744444-4-4-4-4000000000000000000000000000022−2200000000
χ3844444-4-4-4-40000000000000000000000000000−222200000000
χ39444-4-44-4-4400000000000000000000000000000000002i2−2i200
χ40444-4-44-4-440000000000000000000000000000000000−2i22i200
χ4144-44-444-4-4-4-4440000000000000000000000000000000000
χ4244-44-4-4-444000000000000004-40000000000000000000000
χ4344-44-4-4-44400000000000000-440000000000000000000000
χ4444-4-444-44-4000000400-40000000000000000000000000000
χ4544-4-444-44-4000000-40040000000000000000000000000000
χ4644-4-44-44-444-44-40000000000000000000000000000000000
χ4716-16000000000000000000000000000000000000000000000

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