Finite Group Databasebeta

← Group #243229

Character table — Group #243229

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222222244444488888888888888888888888888888888161616161616161616161616
order12222222222244444444444444444444444444888888888888888888888888444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111
χ1111111111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111
χ1211111111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1
χ1311111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111
χ1411111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1
χ1511111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ1722222222222222-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ1822222222222222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ19222222222222-2-222-2-2-2-2-2-222-2-222-2-2000000000000000022-2-222-2-200000000000000000000
χ20222222222222-2-222-2-2-2-2-2-222-2-222-2-20000000000000000-2-222-2-22200000000000000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-222000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000
χ22222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-22200000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000
χ2322222222-2-2-2-222-2-2-2-2-2-222-2-2-2-2222222-2-2-2-222000000000000000000000000000000000000
χ2422222222-2-2-2-222-2-2-2-2-2-222-2-2-2-22222-2-22222-2-2000000000000000000000000000000000000
χ2522222222-2-2-2-2-2-2222222-2-222-2-2-2-222000000000000000022-2-2-2-22200000000000000000000
χ2622222222-2-2-2-2-2-2222222-2-222-2-2-2-2220000000000000000-2-22222-2-200000000000000000000
χ2722222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-200000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000
χ29222-2-2-2-2222-2-22-20022-2-22-20000000000002-22-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000000000000000
χ30222-2-2-2-2222-2-22-20022-2-22-20000000000002-22-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000000000000000
χ31222-2-2-2-2222-2-22-20022-2-22-2000000000000-22-22i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000000000000000
χ32222-2-2-2-2222-2-22-20022-2-22-2000000000000-22-22−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000000000000000
χ33222-2-2-2-2222-2-2-2200-2-222-22000000002i−2i2i−2i00002−2−222−2−22i2−i2−i2i2i2−i2−i2i200000000000000000000
χ34222-2-2-2-2222-2-2-2200-2-222-22000000002i−2i2i−2i0000−222−2−222−2−i2i2i2−i2−i2i2i2−i200000000000000000000
χ35222-2-2-2-2222-2-2-2200-2-222-2200000000−2i2i−2i2i00002−2−222−2−22−i2i2i2−i2−i2i2i2−i200000000000000000000
χ36222-2-2-2-2222-2-2-2200-2-222-2200000000−2i2i−2i2i0000−222−2−222−2i2−i2−i2i2i2−i2−i2i200000000000000000000
χ37222-2-2-2-22-2-2222-200-2-2222-20000000000002-2-22i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i200000000000000000000
χ38222-2-2-2-22-2-2222-200-2-2222-20000000000002-2-22−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i200000000000000000000
χ39222-2-2-2-22-2-2222-200-2-2222-2000000000000-222-2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200000000000000000000
χ40222-2-2-2-22-2-2222-200-2-2222-2000000000000-222-2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i200000000000000000000
χ41222-2-2-2-22-2-222-220022-2-2-22000000002i−2i−2i2i00002−2−22−222−2i2−i2−i2i2−i2i2i2−i200000000000000000000
χ42222-2-2-2-22-2-222-220022-2-2-22000000002i−2i−2i2i0000−222−22−2−22−i2i2i2−i2i2−i2−i2i200000000000000000000
χ43222-2-2-2-22-2-222-220022-2-2-2200000000−2i2i2i−2i00002−2−22−222−2−i2i2i2−i2i2−i2−i2i200000000000000000000
χ44222-2-2-2-22-2-222-220022-2-2-2200000000−2i2i2i−2i0000−222−22−2−22i2−i2−i2i2−i2i2i2−i200000000000000000000
χ452-2222-2-2-22-22-22-2222-22-2-22-2-22-22-22-200000000000000000000000000000000000000002-22-2
χ462-2222-2-2-22-22-22-2222-22-2-22-2-22-22-22-20000000000000000000000000000000000000000-22-22
χ472-2222-2-2-22-22-22-2-2-22-22-2-2222-22-22-22000000000000000000000000000000002i−2i2i−2i00000000
χ482-2222-2-2-22-22-22-2-2-22-22-2-2222-22-22-2200000000000000000000000000000000−2i2i−2i2i00000000
χ492-2222-2-2-22-22-2-2222-22-222-2-2-2-222-2-2200000000000000000000000022-2-222-2-2000000000000
χ502-2222-2-2-22-22-2-2222-22-222-2-2-2-222-2-22000000000000000000000000-2-222-2-222000000000000
χ512-2222-2-2-22-22-2-22-2-2-22-222-2222-2-222-20000000000000000000000000000000000002i−2i2i−2i0000
χ522-2222-2-2-22-22-2-22-2-2-22-222-2222-2-222-2000000000000000000000000000000000000−2i2i−2i2i0000
χ532-2222-2-2-2-22-222-222-22-22-22-2-22-2-22-2200000000000000000000000000000000000000002-2-22
χ542-2222-2-2-2-22-222-222-22-22-22-2-22-2-22-220000000000000000000000000000000000000000-222-2
χ552-2222-2-2-2-22-222-2-2-2-22-22-2222-222-22-2000000000000000000000000000000002i−2i−2i2i00000000
χ562-2222-2-2-2-22-222-2-2-2-22-22-2222-222-22-200000000000000000000000000000000−2i2i2i−2i00000000
χ572-2222-2-2-2-22-22-22222-22-22-2-2-2-22-222-200000000000000000000000022-2-2-2-222000000000000
χ582-2222-2-2-2-22-22-22222-22-22-2-2-2-22-222-2000000000000000000000000-2-22222-2-2000000000000
χ592-2222-2-2-2-22-22-22-2-22-22-22-2222-22-2-220000000000000000000000000000000000002i−2i−2i2i0000
χ602-2222-2-2-2-22-22-22-2-22-22-22-2222-22-2-22000000000000000000000000000000000000−2i2i2i−2i0000
χ6144-44-44-4-40000004-40000004-400000000000000000000000000000022−2222−220000000000000000
χ6244-44-44-4-40000004-40000004-4000000000000000000000000000000−2222−22220000000000000000
χ6344-44-44-4-4000000-44000000-44000000000000000000000000000000000022−2222−22000000000000
χ6444-44-44-4-4000000-44000000-440000000000000000000000000000000000−2222−2222000000000000
χ654-44-4-444-44-4-4444004-4-44-4-40000000000000000000000000000000000000000000000000000
χ664-44-4-444-44-4-44-4-400-444-4440000000000000000000000000000000000000000000000000000
χ674-44-4-444-4-444-44400-444-4-4-40000000000000000000000000000000000000000000000000000
χ684-44-4-444-4-444-4-4-4004-4-44440000000000000000000000000000000000000000000000000000
χ694-4-44-4-4440000004-4000000-4400000000000000000000000000000022−22−22220000000000000000
χ704-4-44-4-4440000004-4000000-44000000000000000000000000000000−222222−220000000000000000
χ714-4-44-4-444000000-440000004-4000000000000000000000000000000000022−22−2222000000000000
χ724-4-44-4-444000000-440000004-40000000000000000000000000000000000−222222−22000000000000
χ7388-8-88-88-8000000000000000000000000000000000000000000000000000000000000000000
χ748-8-8-888-88000000000000000000000000000000000000000000000000000000000000000000

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