Finite Group Databasebeta

← Group #395328

Character table — Group #395328

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222444444444444888888888888888888888888888888161616161616161616161616
order12222222222222222222444444444444222244444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-111
χ7111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ8111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ911111111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-1
χ1011111111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-111-1-111-1-1-1-1
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-11111
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1
χ1722222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2220000000000-2-200-2-2000000000000000000000000
χ1822222222222-2-2-2-2-2-2-2-222222-2-2-2-2-2-2-2-2-2-20000000000220022000000000000000000000000
χ1922222222222-2-2-2-2-2-2-2-22-2-2-2-222222222-2-200000000002200-2-2000000000000000000000000
χ2022222222222-2-2-2-2-2-2-2-22-2-2-2-2-2-2-2-22222220000000000-2-20022000000000000000000000000
χ2122222222-2-2-222-2-222-2-2-2000022-2-200000000000022-2-200002-222-2-200000000000000000000
χ2222222222-2-2-222-2-222-2-2-2000022-2-2000000000000-2-22200002-2-2-22200000000000000000000
χ2322222222-2-2-222-2-222-2-2-20000-2-22200000000000022-2-20000-22-2-22200000000000000000000
χ2422222222-2-2-222-2-222-2-2-20000-2-222000000000000-2-2220000-2222-2-200000000000000000000
χ2522222222-2-2-2-2-222-2-222-2000022-2-20000002222-2-2000000-2-2-22000000000000000000000000
χ2622222222-2-2-2-2-222-2-222-2000022-2-2000000-2-2-2-22200000022-22000000000000000000000000
χ2722222222-2-2-2-2-222-2-222-20000-2-22200000022-2-222000000-2-22-2000000000000000000000000
χ2822222222-2-2-2-2-222-2-222-20000-2-222000000-2-222-2-2000000222-2000000000000000000000000
χ29222-2-22-2-222-22222-2-2-2-2-20000000000002-22-200002-22-22-22-200000000000000000000000000
χ30222-2-22-2-222-22222-2-2-2-2-20000000000002-2-220000-22-222-2-2200000000000000000000000000
χ31222-2-22-2-222-22222-2-2-2-2-2000000000000-222-20000-22-22-222-200000000000000000000000000
χ32222-2-22-2-222-22222-2-2-2-2-2000000000000-22-2200002-22-2-22-2200000000000000000000000000
χ33222-2-22-2-222-2-2-2-2-22222-20000000000002-2002i−2i2i−2i0000-2200002i−2i2i−2i00000000000000000000
χ34222-2-22-2-222-2-2-2-2-22222-20000000000002-200−2i2i−2i2i0000-220000−2i2i−2i2i00000000000000000000
χ35222-2-22-2-222-2-2-2-2-22222-2000000000000-22002i−2i2i−2i00002-20000−2i2i−2i2i00000000000000000000
χ36222-2-22-2-222-2-2-2-2-22222-2000000000000-2200−2i2i−2i2i00002-200002i−2i2i−2i00000000000000000000
χ37222-2-22-2-2-2-2222-2-2-2-22222i2i−2i−2i00002i2i−2i−2i00002i−2i−2i2i2-2-22000000000000000000000000000000
χ38222-2-22-2-2-2-2222-2-2-2-22222i2i−2i−2i00002i2i−2i−2i0000−2i2i2i−2i-222-2000000000000000000000000000000
χ39222-2-22-2-2-2-2222-2-2-2-2222−2i−2i2i2i0000−2i−2i2i2i00002i−2i−2i2i-222-2000000000000000000000000000000
χ40222-2-22-2-2-2-2222-2-2-2-2222−2i−2i2i2i0000−2i−2i2i2i0000−2i2i2i−2i2-2-22000000000000000000000000000000
χ41222-2-22-2-2-2-22-2-22222-2-222i2i−2i−2i0000−2i−2i2i2i002-20000000000-22002i−2i−2i2i00000000000000000000
χ42222-2-22-2-2-2-22-2-22222-2-222i2i−2i−2i0000−2i−2i2i2i00-2200000000002-200−2i2i2i−2i00000000000000000000
χ43222-2-22-2-2-2-22-2-22222-2-22−2i−2i2i2i00002i2i−2i−2i002-20000000000-2200−2i2i2i−2i00000000000000000000
χ44222-2-22-2-2-2-22-2-22222-2-22−2i−2i2i2i00002i2i−2i−2i00-2200000000002-2002i−2i−2i2i00000000000000000000
χ452-2-2222-2-22-2-22-22-22-22-222i−2i2i−2i00002i−2i2i−2i00000000000000000000000000000000002i−2i2-20000
χ462-2-2222-2-22-2-22-22-22-22-222i−2i2i−2i00002i−2i2i−2i0000000000000000000000000000000000−2i2i-220000
χ472-2-2222-2-22-2-22-22-22-22-22−2i2i−2i2i0000−2i2i−2i2i00000000000000000000000000000000002i−2i-220000
χ482-2-2222-2-22-2-22-22-22-22-22−2i2i−2i2i0000−2i2i−2i2i0000000000000000000000000000000000−2i2i2-20000
χ492-2-2222-2-22-2-2-22-22-22-2222i−2i2i−2i0000−2i2i−2i2i0000000000000000000000000000002i−2i2-200000000
χ502-2-2222-2-22-2-2-22-22-22-2222i−2i2i−2i0000−2i2i−2i2i000000000000000000000000000000−2i2i-2200000000
χ512-2-2222-2-22-2-2-22-22-22-222−2i2i−2i2i00002i−2i2i−2i0000000000000000000000000000002i−2i-2200000000
χ522-2-2222-2-22-2-2-22-22-22-222−2i2i−2i2i00002i−2i2i−2i000000000000000000000000000000−2i2i2-200000000
χ532-2-2-2-2222-22-22-2-22-222-222-2-2200002-2-22000000000000000000000022-2-20000000000002-200
χ542-2-2-2-2222-22-22-2-22-222-222-2-2200002-2-220000000000000000000000-2-222000000000000-2200
χ552-2-2-2-2222-22-22-2-22-222-22-222-20000-222-2000000000000000000000022-2-2000000000000-2200
χ562-2-2-2-2222-22-22-2-22-222-22-222-20000-222-20000000000000000000000-2-2220000000000002-200
χ572-2-2-2-2222-22-2-222-22-2-2222-2-220000-222-20000000000000000000000000022-2-200000000002-2
χ582-2-2-2-2222-22-2-222-22-2-2222-2-220000-222-200000000000000000000000000-2-2220000000000-22
χ592-2-2-2-2222-22-2-222-22-2-222-222-200002-2-220000000000000000000000000022-2-20000000000-22
χ602-2-2-2-2222-22-2-222-22-2-222-222-200002-2-2200000000000000000000000000-2-22200000000002-2
χ6144-44-4-44-40000000000000000004-4000000000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000
χ6244-44-4-44-40000000000000000004-400000000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000
χ6344-44-4-44-4000000000000000000-44000000000000000000000000002i−2i2i−2i−2i2i−2i2i000000000000
χ6444-44-4-44-4000000000000000000-4400000000000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000
χ654-44-44-44-400000000000000004-400000000000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000
χ664-44-44-44-400000000000000004-40000000000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000
χ674-44-44-44-40000000000000000-4400000000000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000
χ684-44-44-44-40000000000000000-440000000000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000
χ694-4-4444-4-4-4444-4-444-4-44-4000000000000000000000000000000000000000000000000000000
χ704-4-4444-4-4-444-444-4-444-4-4000000000000000000000000000000000000000000000000000000
χ714-4-4-4-44444-444-44-4-44-44-4000000000000000000000000000000000000000000000000000000
χ724-4-4-4-44444-44-44-444-44-4-4000000000000000000000000000000000000000000000000000000
χ7388-8-88-8-88000000000000000000000000000000000000000000000000000000000000000000
χ748-888-8-8-88000000000000000000000000000000000000000000000000000000000000000000

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