Finite Group Databasebeta

← Group #179442

Character table — Group #179442

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222224444444444488888888244444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ411111111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-111111111
χ7111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-11111
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1111111-1-1-1-1
χ911111111-1-111-1-1-1-11111-11111-1-1-1-11111-11-1-111-1-1-1-11-111-1-111-1-1
χ1011111111-1-111-1-1-1-11111-11111-1-1-1-11-1-1-111-1-111-1-111-11-1-111-1-111
χ1111111111-1-111-1-1-1-11111-11111-1-1-1-1-111-11-111-1-111-1-1-1111-1-1-1-111
χ1211111111-1-111-1-1-1-11111-11111-1-1-1-1-1-1-11-1-111-1-111111-1-1-11111-1-1
χ1311111111-1-111-1-1-1-11111-1-1-1-1-111111111-11-1-1-1-111-1-11-1-1-111-1-111
χ1411111111-1-111-1-1-1-11111-1-1-1-1-111111-1-1-111-1-1-1-11111-1111-1-111-1-1
χ1511111111-1-111-1-1-1-11111-1-1-1-1-11111-111-11-11111-1-1-1-1-11-1-11111-1-1
χ1611111111-1-111-1-1-1-11111-1-1-1-1-11111-1-1-11-1-11111-1-1111-111-1-1-1-111
χ1722222222222-222-2-2-2-22-2-20000000020000-22-20000000000000000
χ1822222222222-222-2-2-2-22-2-200000000-200002-220000000000000000
χ192222222222-22-2-2-2-2-2-2-2220000000002-20000000002-20000000000
χ202222222222-22-2-2-2-2-2-2-222000000000-22000000000-220000000000
χ212222222222-2-2-2-22222-2-2-2000000000002-2000000000-2200000000
χ222222222222-2-2-2-22222-2-2-200000000000-220000000002-200000000
χ2322222222-2-22-2-2-222-2-22-220000000020000-2-220000000000000000
χ2422222222-2-22-2-2-222-2-22-2200000000-2000022-20000000000000000
χ2522222222-2-2-222222-2-2-22-20000000002-2000000000-220000000000
χ2622222222-2-2-222222-2-2-22-2000000000-220000000002-20000000000
χ2722222222-2-2-2-222-2-222-2-220000000000022000000000-2-200000000
χ2822222222-2-2-2-222-2-222-2-2200000000000-2-20000000002200000000
χ29444-4-44-4-400040000000-4000002222−22−22000000000000000000000000
χ30444-4-44-4-400040000000-400000−22−222222000000000000000000000000
χ31444-4-44-4-4000-40000000402i22i2−2i2−2i20000000000000000000000000000
χ32444-4-44-4-4000-4000000040−2i2−2i22i22i20000000000000000000000000000
χ3344-44-4-44-40040000000-40000000000000000000000000022−22000000
χ3444-44-4-44-40040000000-400000000000000000000000000−2222000000
χ3544-44-4-44-400-40000000400000000000000000000000000002i2−2i20000
χ3644-44-4-44-400-4000000040000000000000000000000000000−2i22i20000
χ374-444-4-4-444-40000000000000000000000000002i−2i2i−2i000000000000
χ384-444-4-4-444-4000000000000000000000000000−2i2i−2i2i000000000000
χ394-444-4-4-44-440000000000000000000000000002i−2i−2i2i000000000000
χ404-444-4-4-44-44000000000000000000000000000−2i2i2i−2i000000000000
χ414-44-44-44-400004i−4i000000000000000000000000000000000002-22i−2i
χ424-44-44-44-400004i−4i00000000000000000000000000000000000-22−2i2i
χ434-44-44-44-40000−4i4i000000000000000000000000000000000002-2−2i2i
χ444-44-44-44-40000−4i4i00000000000000000000000000000000000-222i−2i
χ454-4-4444-4-40000004i−4i000002i−2i2i−2i2-22-2000000000000000000000000
χ464-4-4444-4-40000004i−4i00000−2i2i−2i2i-22-22000000000000000000000000
χ474-4-4444-4-4000000−4i4i000002i−2i2i−2i-22-22000000000000000000000000
χ484-4-4444-4-4000000−4i4i00000−2i2i−2i2i2-22-2000000000000000000000000
χ494-4-4-4-4444000000004-4000000022−22−2222000000000000000000000000
χ504-4-4-4-4444000000004-40000000−222222−22000000000000000000000000
χ514-4-4-4-444400000000-4400022−22−22220000000000000000000000000000
χ524-4-4-4-444400000000-44000−222222−220000000000000000000000000000
χ5388-8-88-8-88000000000000000000000000000000000000000000000

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