Finite Group Databasebeta

← Group #166403

Character table — Group #166403

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444444444444448888888822224444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111111
χ511111111111111111111111-1-1-1-1111111111111-1-1-1-11-1-1-1-11-1-11111-1-1-1-1
χ611111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11-1-1-1-1-1-11111
χ711111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-111-1-1-1-11111
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1111111-1-1-1-1
χ911111111-1-1-1-111-1-1-1-11111-111-1-111-1-11111-1-1-1-111-1-111-11-1-11-111-1-111-1-1
χ1011111111-1-1-1-111-1-1-1-11111-111-1-111-1-1-1-1-1-11111-1-11111-11-1-11-1-1-111-1-111
χ1111111111-1-1-1-111-1-1-1-11111-111-1-1-1-1111111-1-1-1-111-1-1-1-111-11-11-1-111-1-111
χ1211111111-1-1-1-111-1-1-1-11111-111-1-1-1-111-1-1-1-11111-1-111-1-111-11-1111-1-111-1-1
χ1311111111-1-1-1-111-1-1-1-11111-1-1-11111-1-11111-1-1-1-1-1-1111-11-11-1-1111-1-1-1-111
χ1411111111-1-1-1-111-1-1-1-11111-1-1-11111-1-1-1-1-1-1111111-1-11-11-11-1-11-1-11111-1-1
χ1511111111-1-1-1-111-1-1-1-11111-1-1-111-1-1111111-1-1-1-1-1-111-11-1-1111-1-1-11111-1-1
χ1611111111-1-1-1-111-1-1-1-11111-1-1-111-1-111-1-1-1-1111111-1-1-11-1-1111-111-1-1-1-111
χ172222222222222-222-2-2-2-22-2-200002222000000000000-20000-20000000000
χ182222222222222-222-2-2-2-22-2-20000-2-2-2-20000000000002000020000000000
χ19222222222222-22-2-222-2-2-22-222-2-20000000000000000000-2200000000000
χ20222222222222-22-2-222-2-2-22-2-2-22200000000000000000002-200000000000
χ21222222222222-2-2-2-2-2-222-2-2200000000000000000000022000-2-200000000
χ22222222222222-2-2-2-2-2-222-2-22000000000000000000000-2-20002200000000
χ2322222222-2-2-2-22-2-2-222-2-22-22000022-2-2000000000000-2000020000000000
χ2422222222-2-2-2-22-2-2-222-2-22-220000-2-22200000000000020000-20000000000
χ2522222222-2-2-2-2-2222-2-2-2-2-22222220000000000000000000-2-200000000000
χ2622222222-2-2-2-2-2222-2-2-2-2-222-2-2-2-200000000000000000002200000000000
χ2722222222-2-2-2-2-2-2222222-2-2-20000000000000000000002-2000-2200000000
χ2822222222-2-2-2-2-2-2222222-2-2-2000000000000000000000-220002-200000000
χ2922-2-222-2-222-2-2202-20000-20000002i−2i2i−2i22−2−222−2−2000000000000i2−i2i2−i20000
χ3022-2-222-2-222-2-2202-20000-20000002i−2i2i−2i−2−222−2−222000000000000−i2i2−i2i20000
χ3122-2-222-2-222-2-2202-20000-2000000−2i2i−2i2i22−2−222−2−2000000000000−i2i2−i2i20000
χ3222-2-222-2-222-2-2202-20000-2000000−2i2i−2i2i−2−222−2−222000000000000i2−i2i2−i20000
χ3322-2-222-2-2-2-22220-220000-20000002i−2i−2i2i22−2−2−2−222000000000000i2−i2−i2i20000
χ3422-2-222-2-2-2-22220-220000-20000002i−2i−2i2i−2−22222−2−2000000000000−i2i2i2−i20000
χ3522-2-222-2-2-2-22220-220000-2000000−2i2i2i−2i22−2−2−2−222000000000000−i2i2i2−i20000
χ3622-2-222-2-2-2-22220-220000-2000000−2i2i2i−2i−2−22222−2−2000000000000i2−i2−i2i20000
χ37444-4-4-44-4000000004-400000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ38444-4-4-44-4000000004-40000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ39444-4-4-44-400000000-4400000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ40444-4-4-44-400000000-440000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ4144-44-4-4-4400000000004-40000000000000002i2−2i2−2i22i200000000000000000000
χ4244-44-4-4-4400000000004-4000000000000000−2i22i22i2−2i200000000000000000000
χ4344-44-4-4-440000000000-44000000000002i2−2i2−2i22i2000000000000000000000000
χ4444-44-4-4-440000000000-4400000000000−2i22i22i2−2i2000000000000000000000000
χ4544-4-444-4-444-4-4-40-440000400000000000000000000000000000000000000
χ4644-4-444-4-4-4-444-404-40000400000000000000000000000000000000000000
χ474-4444-4-4-44-44-400000000000000000000000000000000000000000002i−2i2i−2i
χ484-4444-4-4-44-44-40000000000000000000000000000000000000000000−2i2i−2i2i
χ494-4444-4-4-4-44-4400000000000000000000000000000000000000000002i−2i−2i2i
χ504-4444-4-4-4-44-440000000000000000000000000000000000000000000−2i2i2i−2i
χ514-4-44-444-40000040000000-40004i−4i00000000000000000000000000000000
χ524-4-44-444-40000040000000-4000−4i4i00000000000000000000000000000000
χ534-4-44-444-400000-40000000404-40000000000000000000000000000000000
χ544-4-44-444-400000-4000000040-440000000000000000000000000000000000
χ554-4-4-44-4444-4-440000000000000000000000000002-22-20000000000000000
χ564-4-4-44-4444-4-44000000000000000000000000000-22-220000000000000000
χ574-4-4-44-444-444-40000000000000000000000000002-2-220000000000000000
χ584-4-4-44-444-444-4000000000000000000000000000-222-20000000000000000
χ598-88-8-88-88000000000000000000000000000000000000000000000000000

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