Finite Group Databasebeta

← Group #168024

Character table — Group #168024

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222444444444444244444888888882244444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1111-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11111111-1-11-1-111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-11-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-111111111-1111-1-1-1-1-1-1-1-11-1-1-1-1-11111
χ61111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-11-1-1-111111-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1111-11111-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111-11-1-1-1-11111
χ911111111-1-1-1-11-1-111111-1-111-1-11111-1-1-1-1-111-111111-1-1-1-1-111-1-111-1-1
χ1011111111-1-1-1-11-1-111111-1-111-1-11111-1-1-1-1-1-1-11-1-11111-1-111-1-111-1-111
χ1111111111-1-1-1-11-1-111111-1-111-1-1-1-1-1-11111-111-1111-1-1-111-1-1-1-111-1-111
χ1211111111-1-1-1-11-1-111111-1-111-1-1-1-1-1-11111-1-1-11-1-11-1-11111111-1-111-1-1
χ1311111111-1-1-1-11-1-111111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1111-11-1-11111-1-1
χ1411111111-1-1-1-11-1-111111-1-1-1-1111111-1-1-1-11-1-1111-1-1-1-1111-111-1-1-1-111
χ1511111111-1-1-1-11-1-111111-1-1-1-111-1-1-1-11111111-1-1-1-1111-1-1-1111-1-1-1-111
χ1611111111-1-1-1-11-1-111111-1-1-1-111-1-1-1-111111-1-1111-111-1-1-11-1-1-11111-1-1
χ172222222222222-2-2-2-2-2-22-2200000000000000002-20002000-200000000
χ182222222222222-2-2-2-2-2-22-220000000000000000-22000-2000200000000
χ19222222222222-22222-2-2-2-2-2222200000000-200000-2000000000000000
χ20222222222222-22222-2-2-2-2-2-2-2-2-2000000002000002000000000000000
χ21222222222222-2-2-2-2-222-22-200000000000002-2200000000-2000000000
χ22222222222222-2-2-2-2-222-22-20000000000000-22-2000000002000000000
χ2322222222-2-2-2-2222-2-2-2-222-200000000000000002-2000-2000200000000
χ2422222222-2-2-2-2222-2-2-2-222-20000000000000000-220002000-200000000
χ2522222222-2-2-2-2-222-2-222-2-2200000000000002-2-2000000002000000000
χ2622222222-2-2-2-2-222-2-222-2-220000000000000-22200000000-2000000000
χ2722222222-2-2-2-2-2-2-222-2-2-22222-2-200000000200000-2000000000000000
χ2822222222-2-2-2-2-2-2-222-2-2-222-2-22200000000-2000002000000000000000
χ292-222-22-2-22i2i−2i−2i02i−2i2-2000002-22i−2i00000000000000000000002−2i2−i22−2i2−i2
χ302-222-22-2-22i2i−2i−2i02i−2i2-2000002-22i−2i0000000000000000000000−22−i2i2−22−i2i2
χ312-222-22-2-22i2i−2i−2i02i−2i2-200000-22−2i2i00000000000000000000002−2i2−i2−22−i2i2
χ322-222-22-2-22i2i−2i−2i02i−2i2-200000-22−2i2i0000000000000000000000−22−i2i22−2i2−i2
χ332-222-22-2-2−2i−2i2i2i0−2i2i2-2000002-2−2i2i00000000000000000000002−2−i2i22−2−i2i2
χ342-222-22-2-2−2i−2i2i2i0−2i2i2-2000002-2−2i2i0000000000000000000000−22i2−i2−22i2−i2
χ352-222-22-2-2−2i−2i2i2i0−2i2i2-200000-222i−2i00000000000000000000002−2−i2i2−22i2−i2
χ362-222-22-2-2−2i−2i2i2i0−2i2i2-200000-222i−2i0000000000000000000000−22i2−i22−2−i2i2
χ37444-4-4-4-444i−4i4i−4i0000000000000022-2-22i2i−2i−2i0000000000000000000000
χ38444-4-4-4-444i−4i4i−4i00000000000000-2-222−2i−2i2i2i0000000000000000000000
χ39444-4-4-4-44−4i4i−4i4i0000000000000022-2-2−2i−2i2i2i0000000000000000000000
χ40444-4-4-4-44−4i4i−4i4i00000000000000-2-2222i2i−2i−2i0000000000000000000000
χ414-444-44-4-44i4i−4i−4i0−4i4i-44000000000000000000000000000000000000000
χ424-444-44-4-4−4i−4i4i4i04i−4i-44000000000000000000000000000000000000000
χ434-44-44-44-44-4-44000000000000000000000000000002i−2i02i−2i0000000000
χ444-44-44-44-44-4-4400000000000000000000000000000−2i2i0−2i2i0000000000
χ454-44-44-44-4-444-4000000000000000000000000000002i−2i0−2i2i0000000000
χ464-44-44-44-4-444-400000000000000000000000000000−2i2i02i−2i0000000000
χ474-4-444-4-4400004000000-400000000002i2−2i22i2−2i20000000000000000000000
χ484-4-444-4-4400004000000-40000000000−2i22i2−2i22i20000000000000000000000
χ494-4-444-4-440000-4000000400000022−2222−2200000000000000000000000000
χ504-4-444-4-440000-40000004000000−2222−222200000000000000000000000000
χ514-4-4-4-44440000000004-40000000000022−22−22220000000000000000000000
χ524-4-4-4-44440000000004-400000000000−222222−220000000000000000000000
χ534-4-4-4-4444000000000-44000000022−22−222200000000000000000000000000
χ544-4-4-4-4444000000000-440000000−222222−2200000000000000000000000000
χ5588-88-8-88-8000000000000000000000000000000000000000000000000
χ5688-8-888-8-8000000000000000000000000000000000000000000000000

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