Finite Group Databasebeta

← Group #256507

Character table — Group #256507

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222222244444444444444888888882444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-1111111111-1-1-111-1-1-1-1-1-11-11111-1-1-1-1
χ61111111111111111111111-1-1-1-111111111-11-1-1-1-111-1-1-1-1-11-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-111111-1-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-111111-1-1-1-1
χ911111111-1-1-1-11-1-111111-1-111111111-1-1-1-11-1-1-11-11-111-1-1-1111-1-111-1-1
χ1011111111-1-1-1-11-1-111111-1-111111111-1-1-1-1-11-1-1-11-1111-1-11-1-1-111-1-111
χ1111111111-1-1-1-11-1-111111-1-11111-1-1-1-111111-1-1-11-11-1-1-111-11-1-111-1-111
χ1211111111-1-1-1-11-1-111111-1-11111-1-1-1-11111-11-1-1-11-11-1-1111-111-1-111-1-1
χ1311111111-1-1-1-11-1-111111-1-1-1-1-1-11111-1-1-1-111111-1-11-1-111-1-111-1-1-1-111
χ1411111111-1-1-1-11-1-111111-1-1-1-1-1-11111-1-1-1-1-1-111-111-1-1-11111-1-11111-1-1
χ1511111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-1-1-11111-1-1
χ1611111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-11111-1-111-111-111-1-11111-1-1-1-111
χ17222222222222222-2-2-2-22-2-222-2-200000000002-2000000000000000000
χ18222222222222222-2-2-2-22-2-2-2-2220000000000-22000000000000000000
χ19222222222222-2-2-222-2-2-22-20000000000000200002-200000-200000000
χ20222222222222-2-2-222-2-2-22-20000000000000-20000-2200000200000000
χ21222222222222-2-2-2-2-222-2-220000000000002000-22000000-2000000000
χ22222222222222-2-2-2-2-222-2-22000000000000-20002-20000002000000000
χ2322222222-2-2-2-22-2-2-2-2-2-222222-2-20000000000-22000000000000000000
χ2422222222-2-2-2-22-2-2-2-2-2-2222-2-22200000000002-2000000000000000000
χ2522222222-2-2-2-2-22222-2-2-2-22000000000000020000-2-200000200000000
χ2622222222-2-2-2-2-22222-2-2-2-220000000000000-200002200000-200000000
χ2722222222-2-2-2-2-222-2-222-22-20000000000002000-2-20000002000000000
χ2822222222-2-2-2-2-222-2-222-22-2000000000000-200022000000-2000000000
χ292-2222-2-2-20000-2002-22-22002i−2i2i−2i000022-2-200000000002i−2i0000000000
χ302-2222-2-2-20000-2002-22-22002i−2i2i−2i0000-2-2220000000000−2i2i0000000000
χ312-2222-2-2-20000-2002-22-2200−2i2i−2i2i000022-2-20000000000−2i2i0000000000
χ322-2222-2-2-20000-2002-22-2200−2i2i−2i2i0000-2-22200000000002i−2i0000000000
χ332-2222-2-2-20000-200-22-222002i−2i−2i2i22-2-20000000000002i−2i000000000000
χ342-2222-2-2-20000-200-22-222002i−2i−2i2i-2-222000000000000−2i2i000000000000
χ352-2222-2-2-20000-200-22-22200−2i2i2i−2i22-2-2000000000000−2i2i000000000000
χ362-2222-2-2-20000-200-22-22200−2i2i2i−2i-2-2220000000000002i−2i000000000000
χ37444-4-44-4-444-4-40000000000000000000000000000000000002-22-20000
χ38444-4-44-4-444-4-4000000000000000000000000000000000000-22-220000
χ39444-4-44-4-4-4-4440000000000000000000000000000000000002-2-220000
χ40444-4-44-4-4-4-444000000000000000000000000000000000000-222-20000
χ4144-44-4-4-44000004-4000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ4244-44-4-4-44000004-400000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ4344-44-4-4-4400000-44000000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000
χ4444-44-4-4-4400000-4400000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000
χ454-4444-4-4-400004004-4-44-4000000000000000000000000000000000000
χ464-4444-4-4-40000400-444-4-4000000000000000000000000000000000000
χ474-4-44-444-44-44-4000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000
χ484-4-44-444-44-44-400000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000
χ494-4-44-444-4-44-44000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000
χ504-4-44-444-4-44-4400000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000
χ514-4-4-444-444-4-4400000000000000000000000000000000000000002-22-2
χ524-4-4-444-444-4-440000000000000000000000000000000000000000-22-22
χ534-4-4-444-44-444-400000000000000000000000000000000000000002-2-22
χ544-4-4-444-44-444-40000000000000000000000000000000000000000-222-2
χ5588-8-88-88-8000000000000000000000000000000000000000000000000
χ568-88-8-8-888000000000000000000000000000000000000000000000000

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