Finite Group Databasebeta

← Group #259781

Character table — Group #259781

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222222244444444444444444444442244444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-111111111
χ511111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-111-11111-1-1-1-1
χ611111111111111111111-1-111-1-111111111-1-11-111-1-1-1-1-1-1-11-1-1-1-11111
χ711111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-11111
χ811111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-111-11111-1-111111-1-1-1-1
χ911111111111111-1-1-1-11111-1-1111111-1-1-1-11-11-1-1-1-111-1-11-1111-1-111-1-1
χ1011111111111111-1-1-1-11111-1-1111111-1-1-1-1-11-1-111-111-1-1-11-1-1-111-1-111
χ1111111111111111-1-1-1-11111-1-111-1-1-1-111111-11-1-1-1-1-1-1111-11-1-111-1-111
χ1211111111111111-1-1-1-11111-1-111-1-1-1-11111-11-1-111-1-1-111-11-111-1-111-1-1
χ1311111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-1-11111-1-1111-1-111-1-1-1-111
χ1411111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1111-1-11-1-111-111-1-11111-1-1
χ1511111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1111111-1-11-1-1-1-11111-1-1
χ1611111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1111-1-1111-1-1-11111-1-1-1-111
χ17222222222222-2-22222-2-222-2-2-2-200000000000200-2000000000000000
χ18222222222222-2-22222-2-2-2-2-2-22200000000000-2002000000000000000
χ19222222222222-2-2-2-2-2-2-2-22222-2-200000000000-2002000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-2222200000000000200-2000000000000000
χ2122222222-2-2-2-22-222-2-22-2002-2000000000000202-20000000-200000000
χ2222222222-2-2-2-22-222-2-22-2002-2000000000000-20-220000000200000000
χ2322222222-2-2-2-22-2-2-2222-200-2200000000000020-220000000-200000000
χ2422222222-2-2-2-22-2-2-2222-200-22000000000000-202-20000000200000000
χ2522222222-2-2-2-2-2222-2-2-2200-22000000000022000000000-2-2000000000
χ2622222222-2-2-2-2-2222-2-2-2200-220000000000-2-200000000022000000000
χ2722222222-2-2-2-2-22-2-222-22002-200000000002-2000000000-22000000000
χ2822222222-2-2-2-2-22-2-222-22002-20000000000-220000000002-2000000000
χ2922-22-2-22-22-22-22-20000-222i−2i002i−2i00002i2i−2i−2i0000000002-200000000000
χ3022-22-2-22-22-22-22-20000-222i−2i002i−2i0000−2i−2i2i2i000000000-2200000000000
χ3122-22-2-22-22-22-22-20000-22−2i2i00−2i2i00002i2i−2i−2i000000000-2200000000000
χ3222-22-2-22-22-22-22-20000-22−2i2i00−2i2i0000−2i−2i2i2i0000000002-200000000000
χ3322-22-2-22-22-22-2-2200002-22i−2i00−2i2i22-2-2000000000002i−2i0000000000000
χ3422-22-2-22-22-22-2-2200002-22i−2i00−2i2i-2-22200000000000−2i2i0000000000000
χ3522-22-2-22-22-22-2-2200002-2−2i2i002i−2i22-2-200000000000−2i2i0000000000000
χ3622-22-2-22-22-22-2-2200002-2−2i2i002i−2i-2-222000000000002i−2i0000000000000
χ37444-44-4-4-40000004-400000000002-22-22-22-20000000000000000000000
χ38444-44-4-4-40000004-40000000000-22-22-22-220000000000000000000000
χ39444-44-4-4-4000000-4400000000002-22-2-22-220000000000000000000000
χ40444-44-4-4-4000000-440000000000-22-222-22-20000000000000000000000
χ4144-44-4-44-4-44-44440000-4-4000000000000000000000000000000000000
χ4244-44-4-44-4-44-44-4-4000044000000000000000000000000000000000000
χ4344-4-4-44-44000000004i−4i000000002-2-222i−2i−2i2i0000000000000000000000
χ4444-4-4-44-44000000004i−4i00000000-222-2−2i2i2i−2i0000000000000000000000
χ4544-4-4-44-4400000000−4i4i000000002-2-22−2i2i2i−2i0000000000000000000000
χ4644-4-4-44-4400000000−4i4i00000000-222-22i−2i−2i2i0000000000000000000000
χ474-44-4-4-4444-4-4400000000000000000000000000000000000000000022−22
χ484-44-4-4-4444-4-44000000000000000000000000000000000000000000−2222
χ494-44-4-4-444-444-4000000000000000000000000000000000000000022−2200
χ504-44-4-4-444-444-40000000000000000000000000000000000000000−222200
χ514-4-4-4444-444-4-4000000000000000000000000000000000000002i2−2i20000
χ524-4-4-4444-444-4-400000000000000000000000000000000000000−2i22i20000
χ534-4-4-4444-4-4-44400000000000000000000000000000000000022−22000000
χ544-4-4-4444-4-4-444000000000000000000000000000000000000−2222000000
χ558-888-88-8-8000000000000000000000000000000000000000000000000
χ568-8-888-8-88000000000000000000000000000000000000000000000000

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