Finite Group Databasebeta

← Group #259708

Character table — Group #259708

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222222244444444222244444444442244444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-111-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1-1111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-1-1-11111
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911111111111111-1-1-1-1111111-1-11111-1-1-1-1-111-1-1-11-11-111-1-111-1-111-1-1
χ1011111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111-11-1111-1-1-1-111-1-111
χ1111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-11-11-1-11111-1-1-1-111
χ1211111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11111-11-1-1-111-1-11111-1-1
χ1311111111111111-1-1-1-111-1-1-1-1-1-111111111-111-1-1-11-11-1-1-111-1-111-1-111
χ1411111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-11-11-1-11111-1-111-1-1
χ1511111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-11-1111-1-1-1-11111-1-1
χ1611111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-11111-11-111-1-111-1-1-1-111
χ17222222222222-2-22222-2-20000-2-222-2-20000200-2000000000000000000
χ18222222222222-2-22222-2-20000-2-2-2-2220000-2002000000000000000000
χ19222222222222-2-2-2-2-2-2-2-200002222-2-20000-2002000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2000022-2-2220000200-2000000000000000000
χ2122222222-2-2-2-22-222-2-22-200002-20000000000000022-2-2000000000000
χ2222222222-2-2-2-22-222-2-22-200002-200000000000000-2-222000000000000
χ2322222222-2-2-2-22-2-2-2222-20000-22000000000000002-2-22000000000000
χ2422222222-2-2-2-22-2-2-2222-20000-2200000000000000-222-2000000000000
χ2522222222-2-2-2-2-2222-2-2-220000-220000000002-202-20000000000000000
χ2622222222-2-2-2-2-2222-2-2-220000-22000000000-220-220000000000000000
χ2722222222-2-2-2-2-22-2-222-2200002-20000000002-20-220000000000000000
χ2822222222-2-2-2-2-22-2-222-2200002-2000000000-2202-20000000000000000
χ292-2222-2-2-22-22-22-20000-2222-2-2002i−2i2i−2i000000000000002i−2i0000000000
χ302-2222-2-2-22-22-22-20000-2222-2-200−2i2i−2i2i00000000000000−2i2i0000000000
χ312-2222-2-2-22-22-22-20000-22-2-222002i−2i2i−2i00000000000000−2i2i0000000000
χ322-2222-2-2-22-22-22-20000-22-2-22200−2i2i−2i2i000000000000002i−2i0000000000
χ332-2222-2-2-22-22-2-2200002-20000002i−2i−2i2i2i2i−2i−2i0000000000002-200000000
χ342-2222-2-2-22-22-2-2200002-20000002i−2i−2i2i−2i−2i2i2i000000000000-2200000000
χ352-2222-2-2-22-22-2-2200002-2000000−2i2i2i−2i2i2i−2i−2i000000000000-2200000000
χ362-2222-2-2-22-22-2-2200002-2000000−2i2i2i−2i−2i−2i2i2i0000000000002-200000000
χ37444-4-44-4-444-4-400000000000000000000000000000000000022−22000000
χ38444-4-44-4-444-4-4000000000000000000000000000000000000−2222000000
χ39444-4-44-4-4-4-444000000000000000000000000000000000000002i2−2i20000
χ40444-4-44-4-4-4-44400000000000000000000000000000000000000−2i22i20000
χ4144-44-4-44-4000000004i−4i002-22-20000002i−2i2i−2i0000000000000000000000
χ4244-44-4-44-4000000004i−4i00-22-22000000−2i2i−2i2i0000000000000000000000
χ4344-44-4-44-400000000−4i4i002-22-2000000−2i2i−2i2i0000000000000000000000
χ4444-44-4-44-400000000−4i4i00-22-220000002i−2i2i−2i0000000000000000000000
χ454-4444-4-4-4-44-44440000-4-4000000000000000000000000000000000000
χ464-4444-4-4-4-44-44-4-4000044000000000000000000000000000000000000
χ474-44-4-4-4444-4-44000000000000000000000000000000000000000022−2200
χ484-44-4-4-4444-4-440000000000000000000000000000000000000000−222200
χ494-44-4-4-444-444-400000000000000000000000000000000000000000022−22
χ504-44-4-4-444-444-4000000000000000000000000000000000000000000−2222
χ514-4-44-44-440000004-400002-2-220000002-2-220000000000000000000000
χ524-4-44-44-440000004-40000-222-2000000-222-20000000000000000000000
χ534-4-44-44-44000000-4400002-2-22000000-222-20000000000000000000000
χ544-4-44-44-44000000-440000-222-20000002-2-220000000000000000000000
χ5588-8-88-8-88000000000000000000000000000000000000000000000000
χ568-8-8-8888-8000000000000000000000000000000000000000000000000

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