Finite Group Databasebeta

← Group #166262

Character table — Group #166262

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222444444444444224444444444442444444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-11-1-1-1-1-11-1-11-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111-1-1-1-11-1-1-1-1-11-1-11-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111-1-11-1-111-1-1111-1-11-11-1-1-11111-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-11-1-111-1-1111-1-11-11-1-1-1-1-1-1-111111111-1-1-1-1
χ711111111111111111111-1-11-1-1-1-1111-1-111-1-1-11-1111111111-1-1-1-1-1-1-1-1
χ811111111111111111111-1-11-1-1-1-1111-1-111-1-1-11-11-1-1-1-1-1-1-1-111111111
χ911111111-1-1-1-1-1-111111111-1-1-11111-1-1-1-1-11-1-111-111-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-111111111-1-1-11111-1-1-1-1-11-1-111-1-1-111-1-111-1-111-1-111
χ1111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11-11111-1-1-1-11111-1-1-1-111
χ1211111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11-111-1-11111-1-1-1-11111-1-1
χ1311111111-1-1-1-1-1-1111111-1-1-11111-1-1-1-1-11111-1-1-1111-1-1-1-111-1-11111-1-1
χ1411111111-1-1-1-1-1-1111111-1-1-11111-1-1-1-1-11111-1-1-11-1-11111-1-111-1-1-1-111
χ1511111111-1-1-1-1-1-1111111-1-1-111-1-111-111-1-1-1111-1-111-1-111-1-1-1-111-1-111
χ1611111111-1-1-1-1-1-1111111-1-1-111-1-111-111-1-1-1111-1-1-1-111-1-11111-1-111-1-1
χ1722222222222222-2-222-2-200-2000022-20022000-20-20000000000000000
χ1822222222222222-2-222-2-200-20000-2-2-200-2-20002020000000000000000
χ19222222222222-2-22-2-2-22-222-2220000200000-200-200000000000000000
χ20222222222222-2-22-2-2-22-2-2-2-2-2-20000200000200200000000000000000
χ21222222222222-2-2-22-2-2-22002002200-22200-20-20000000000000000000
χ22222222222222-2-2-22-2-2-2200200-2-200-2-2-2002020000000000000000000
χ2322222222-2-2-2-2222-2-2-22-2222-2-20000-200000200-200000000000000000
χ2422222222-2-2-2-2222-2-2-22-2-2-22220000-200000-200200000000000000000
χ2522222222-2-2-2-222-22-2-2-2200-20022002-2-200-2020000000000000000000
χ2622222222-2-2-2-222-22-2-2-2200-200-2-2002220020-20000000000000000000
χ2722222222-2-2-2-2-2-2-2-222-2-2002000022200-2-2000-2020000000000000000
χ2822222222-2-2-2-2-2-2-2-222-2-20020000-2-22002200020-20000000000000000
χ2922-22-2-22-22i2i−2i−2i2i−2i002-20000000002-20002i−2i000000000000002−2i2−i22−2i2−i2
χ3022-22-2-22-22i2i−2i−2i2i−2i002-20000000002-20002i−2i00000000000000−22−i2i2−22−i2i2
χ3122-22-2-22-22i2i−2i−2i2i−2i002-2000000000-22000−2i2i000000000000002−2i2−i2−22−i2i2
χ3222-22-2-22-22i2i−2i−2i2i−2i002-2000000000-22000−2i2i00000000000000−22−i2i22−2i2−i2
χ3322-22-2-22-2−2i−2i2i2i−2i2i002-20000000002-2000−2i2i000000000000002−2−i2i22−2−i2i2
χ3422-22-2-22-2−2i−2i2i2i−2i2i002-20000000002-2000−2i2i00000000000000−22i2−i2−22i2−i2
χ3522-22-2-22-2−2i−2i2i2i−2i2i002-2000000000-220002i−2i000000000000002−2−i2i2−22i2−i2
χ3622-22-2-22-2−2i−2i2i2i−2i2i002-2000000000-220002i−2i00000000000000−22i2−i22−2−i2i2
χ37444-44-4-4-44-44-4000000000000000000000000000000002-22-200000000
χ38444-44-4-4-44-44-400000000000000000000000000000000-22-2200000000
χ39444-44-4-4-4-44-44000000000000000000000000000000002-2-2200000000
χ40444-44-4-4-4-44-4400000000000000000000000000000000-222-200000000
χ4144-44-4-44-44i4i−4i−4i−4i4i00-4400000000000000000000000000000000000000
χ4244-44-4-44-4−4i−4i4i4i4i−4i00-4400000000000000000000000000000000000000
χ4344-4-4-44-444i−4i−4i4i00000000000000000000000000002i−2i2-2000000000000
χ4444-4-4-44-444i−4i−4i4i0000000000000000000000000000−2i2i-22000000000000
χ4544-4-4-44-44−4i4i4i−4i00000000000000000000000000002i−2i-22000000000000
χ4644-4-4-44-44−4i4i4i−4i0000000000000000000000000000−2i2i2-2000000000000
χ474-444-44-4-40000004000-404-40000000000000000000000000000000000
χ484-444-44-4-40000004000-40-440000000000000000000000000000000000
χ494-444-44-4-4000000-4000400004i−4i0000000000000000000000000000000
χ504-444-44-4-4000000-400040000−4i4i0000000000000000000000000000000
χ514-44-4-4-44400000004000-4000004i−4i00000000000000000000000000000
χ524-44-4-4-44400000004000-400000−4i4i00000000000000000000000000000
χ534-44-4-4-4440000000-4000400000000004-4000000000000000000000000
χ544-44-4-4-4440000000-400040000000000-44000000000000000000000000
χ558-8-888-8-88000000000000000000000000000000000000000000000000
χ568-8-8-8888-8000000000000000000000000000000000000000000000000

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