Finite Group Databasebeta

← Group #166270

Character table — Group #166270

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222444444444444224444444444442244444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1111-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1111111-1-1-1-1-1-1-11-1-111-1111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1111111-1-1-1-1-1-1-11-1-1-1-1-11-1-11111-1-1-1-11111
χ711111111111111111111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-11-11111-1-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-11-11-1-11-111-1-111-1-111-1-111
χ1111111111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11-11111-1-111-1-1-1-111-1-111
χ1211111111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11-1-1-11111-1-11111-1-111-1-1
χ1311111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111111-111-1-1-1-1-1-11111-1-1-1-111
χ1411111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111111-1-1-1-1-11111-1-1-1-11111-1-1
χ1511111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1111-1-1111-11-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1111-1-11-1-1-111111-1-111-1-1-1-111
χ1722222222222222-2-2-2-22222-2-20000000022-200000-2000000000000000
χ1822222222222222-2-2-2-222-2-2-2-200000000-2-22000002000000000000000
χ19222222222222-2-222-2-2-2-2002-222220000000-200000-200000000000000
χ20222222222222-2-222-2-2-2-2002-2-2-2-2-20000000200000200000000000000
χ21222222222222-2-2-2-222-2-200-22000022220000-2-2000000000000000000
χ22222222222222-2-2-2-222-2-200-220000-2-2-2-2000022000000000000000000
χ2322222222-2-2-2-22222-2-2-2-200-2222-2-20000000-200000200000000000000
χ2422222222-2-2-2-22222-2-2-2-200-22-2-2220000000200000-200000000000000
χ2522222222-2-2-2-222-2-222-2-2002-2000022-2-200002-2000000000000000000
χ2622222222-2-2-2-222-2-222-2-2002-20000-2-2220000-22000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-222222200000000-2-2200000-2000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222-2-2220000000022-2000002000000000000000
χ2922-2-22-22-22i2i−2i−2i2i−2i00002-22-200000000002i−2i000000000000002−2i2−i22−2i2−i2
χ3022-2-22-22-22i2i−2i−2i2i−2i00002-22-200000000002i−2i00000000000000−22−i2i2−22−i2i2
χ3122-2-22-22-22i2i−2i−2i2i−2i00002-2-220000000000−2i2i000000000000002−2i2−i2−22−i2i2
χ3222-2-22-22-22i2i−2i−2i2i−2i00002-2-220000000000−2i2i00000000000000−22−i2i22−2i2−i2
χ3322-2-22-22-2−2i−2i2i2i−2i2i00002-22-20000000000−2i2i000000000000002−2−i2i22−2−i2i2
χ3422-2-22-22-2−2i−2i2i2i−2i2i00002-22-20000000000−2i2i00000000000000−22i2−i2−22i2−i2
χ3522-2-22-22-2−2i−2i2i2i−2i2i00002-2-2200000000002i−2i000000000000002−2−i2i2−22i2−i2
χ3622-2-22-22-2−2i−2i2i2i−2i2i00002-2-2200000000002i−2i00000000000000−22i2−i22−2−i2i2
χ37444-4-4-4-440000004-400000000004i−4i0000000000000000000000000000
χ38444-4-4-4-440000004-40000000000−4i4i0000000000000000000000000000
χ39444-4-4-4-44000000-44000000004i−4i000000000000000000000000000000
χ40444-4-4-4-44000000-4400000000−4i4i000000000000000000000000000000
χ4144-4-44-44-44i4i−4i−4i−4i4i0000-44000000000000000000000000000000000000
χ4244-4-44-44-4−4i−4i4i4i4i−4i0000-44000000000000000000000000000000000000
χ434-44-4-444-44i−4i4i−4i000000000000000000000000002-2002i−2i000000000000
χ444-44-4-444-44i−4i4i−4i00000000000000000000000000-2200−2i2i000000000000
χ454-44-4-444-4−4i4i−4i4i000000000000000000000000002-200−2i2i000000000000
χ464-44-4-444-4−4i4i−4i4i00000000000000000000000000-22002i−2i000000000000
χ474-4-44-4-4444-4-44000000000000000000000000000000002-22-200000000
χ484-4-44-4-4444-4-4400000000000000000000000000000000-22-2200000000
χ494-4-44-4-444-444-4000000000000000000000000000000002-2-2200000000
χ504-4-44-4-444-444-400000000000000000000000000000000-222-200000000
χ514-4-4-444-44000000004-40000000000004-4000000000000000000000000
χ524-4-4-444-44000000004-4000000000000-44000000000000000000000000
χ534-4-4-444-4400000000-4400000000004-400000000000000000000000000
χ544-4-4-444-4400000000-440000000000-4400000000000000000000000000
χ5588-88-88-8-8000000000000000000000000000000000000000000000000
χ568-8888-8-8-8000000000000000000000000000000000000000000000000

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