Finite Group Databasebeta

← Group #166752

Character table — Group #166752

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222444444444444442444444448888888824444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-111-1-111111111-11-11-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111
χ511111111111111111111111-1-111-1-11111111111-1-1-1-11-11-11111-1-1-1-1-1-1-1-1
χ611111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-111111111
χ711111111111111111111111-1-1-1-1-1-1-1-1111111111-11-1-11-11-1-1-1-1-1-1-1-11111
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11-1111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-1111111-11111-1-1-1-11111-1-1-1-111-1-1-111-111-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-1-1-1111111-11111-1-1-1-1-1-1-1-1111111-1-1-111-1-1-111-1-111-1-111
χ1111111111-1-1-1-1-1-1-1-1111111-111-1-1-1-1111111-1-1-1-1-111-11-1-11-1-11111-1-1-1-111
χ1211111111-1-1-1-1-1-1-1-1111111-111-1-1-1-111-1-1-1-11111-111-11-1-1111-1-1-1-11111-1-1
χ1311111111-1-1-1-1-1-1-1-1111111-1-1-11111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111
χ1411111111-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-11111-1-111-1-1
χ1511111111-1-1-1-1-1-1-1-1111111-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-1-1-111111-1-1111-1-111-1-111-1-1-1-111
χ1722222222222222-2-2-2-222-2-2-2002200-2-200000000000020-20000000000000
χ1822222222222222-2-2-2-222-2-2-200-2-20022000000000000-2020000000000000
χ19222222222222-2-222-2-2-2-222-222002200000000000-20-20000000000000000
χ20222222222222-2-222-2-2-2-222-2-2-200-2-2000000000002020000000000000000
χ21222222222222-2-2-2-222-2-2-2-22000000000000000020-200-202000000000000
χ22222222222222-2-2-2-222-2-2-2-220000000000000000-2020020-2000000000000
χ2322222222-2-2-2-2222222-2-2-2-2-2000000000000000020200-20-2000000000000
χ2422222222-2-2-2-2222222-2-2-2-2-20000000000000000-20-200202000000000000
χ2522222222-2-2-2-222-2-2-2-2-2-22222200-2-200000000000-2020000000000000000
χ2622222222-2-2-2-222-2-2-2-2-2-2222-2-200220000000000020-20000000000000000
χ2722222222-2-2-2-2-2-222-2-222-2-2200220022000000000000-20-20000000000000
χ2822222222-2-2-2-2-2-222-2-222-2-2200-2-200-2-20000000000002020000000000000
χ2922-22-2-22-22i2i−2i−2i002i−2i00002-202i−2i002-200i2i2−i2−i222−2−20000000000002−2i2−i20000
χ3022-22-2-22-22i2i−2i−2i002i−2i00002-202i−2i002-200−i2−i2i2i2−2−222000000000000−22−i2i20000
χ3122-22-2-22-22i2i−2i−2i002i−2i00002-20−2i2i00-2200i2i2−i2−i222−2−2000000000000−22−i2i20000
χ3222-22-2-22-22i2i−2i−2i002i−2i00002-20−2i2i00-2200−i2−i2i2i2−2−2220000000000002−2i2−i20000
χ3322-22-2-22-2−2i−2i2i2i00−2i2i00002-202i−2i00-2200i2i2−i2−i2−2−2220000000000002−2−i2i20000
χ3422-22-2-22-2−2i−2i2i2i00−2i2i00002-202i−2i00-2200−i2−i2i2i222−2−2000000000000−22i2−i20000
χ3522-22-2-22-2−2i−2i2i2i00−2i2i00002-20−2i2i002-200i2i2−i2−i2−2−222000000000000−22i2−i20000
χ3622-22-2-22-2−2i−2i2i2i00−2i2i00002-20−2i2i002-200−i2−i2i2i222−2−20000000000002−2−i2i20000
χ37444-44-4-4-4000000004-40000000000000000022−2222−2200000000000000000000
χ38444-44-4-4-4000000004-400000000000000000−2222−222200000000000000000000
χ39444-44-4-4-400000000-44000000000000022−2222−22000000000000000000000000
χ40444-44-4-4-400000000-440000000000000−2222−2222000000000000000000000000
χ4144-44-4-44-44i4i−4i−4i00−4i4i0000-440000000000000000000000000000000000000
χ4244-44-4-44-4−4i−4i4i4i004i−4i0000-440000000000000000000000000000000000000
χ4344-4-4-44-4400004i−4i000000000000000002i−2i−2i2i2-2-2200000000000000000000
χ4444-4-4-44-4400004i−4i00000000000000000−2i2i2i−2i-222-200000000000000000000
χ4544-4-4-44-440000−4i4i000000000000000002i−2i−2i2i-222-200000000000000000000
χ4644-4-4-44-440000−4i4i00000000000000000−2i2i2i−2i2-2-2200000000000000000000
χ474-444-4-4-4400000000004-40000000004i−4i0000000000000000000000000000
χ484-444-4-4-4400000000004-4000000000−4i4i0000000000000000000000000000
χ494-444-4-4-440000000000-44000004i−4i00000000000000000000000000000000
χ504-444-4-4-440000000000-4400000−4i4i00000000000000000000000000000000
χ514-44-4-444-44i−4i4i−4i00000000000000000000000000000000000000000002i−2i2-2
χ524-44-4-444-44i−4i4i−4i0000000000000000000000000000000000000000000−2i2i-22
χ534-44-4-444-4−4i4i−4i4i00000000000000000000000000000000000000000002i−2i-22
χ544-44-4-444-4−4i4i−4i4i0000000000000000000000000000000000000000000−2i2i2-2
χ554-4-4-44-4444-4-44000000000000000000000000000000000002-22-200000000
χ564-4-4-44-4444-4-4400000000000000000000000000000000000-22-2200000000
χ574-4-4-44-444-444-4000000000000000000000000000000000002-2-2200000000
χ584-4-4-44-444-444-400000000000000000000000000000000000-222-200000000
χ598-8-8888-8-8000000000000000000000000000000000000000000000000000

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