Finite Group Databasebeta

← Group #397262

Character table — Group #397262

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222222244444488888888888888888888888888888888161616161616161616161616
order12222222222222224444444422444444444444888888888888888888888888224444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111
χ5111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-1
χ6111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-111-11111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ9111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ10111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11-1-1111-1-1
χ11111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ12111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-111-1-1-111
χ13111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-111-111-1-1
χ14111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111
χ15111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11-1-11-1-111
χ16111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1
χ172222222222222222-2-2-2-2-2-2-2-222-2-2-2-200000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-222-2-2-2-20000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000
χ19222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ2122222222-2-2-2-2222222-2-22-22-2-2-222-2-200000000000000000000000000000000002-2200-20000
χ2222222222-2-2-2-2222222-2-22-22-2-2-222-2-20000000000000000000000000000000000-22-20020000
χ2322222222-2-2-2-22222-2-222-22-22-2-2-2-2220000000022-2-222-2-20000000000000000000000000000
χ2422222222-2-2-2-22222-2-222-22-22-2-2-2-22200000000-2-222-2-2220000000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-22-22-222-2-22200000000000000000000000000000000002-2-20020000
χ2622222222-2-2-2-2-2-2-2-222-2-22-22-222-2-2220000000000000000000000000000000000-22200-20000
χ2722222222-2-2-2-2-2-2-2-2-2-222-22-222222-2-20000000022-2-2-2-2220000000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222-22-222222-2-200000000-2-22222-2-20000000000000000000000000000
χ2922-2-2-222-222-2-222-2-22222-2-2-2-22-22-22-2000000000000000000000000000000002-20002-200000
χ3022-2-2-222-222-2-222-2-22222-2-2-2-22-22-22-200000000000000000000000000000000-22000-2200000
χ3122-2-2-222-222-2-222-2-2-2-2-2-222222-2-22-2200000000000000000000000000000000000000002-22-2
χ3222-2-2-222-222-2-222-2-2-2-2-2-222222-2-22-220000000000000000000000000000000000000000-22-22
χ3322-2-2-222-222-2-2-2-2222222-2-2-2-2-22-22-22000000000000000000000000000000002-2000-2200000
χ3422-2-2-222-222-2-2-2-2222222-2-2-2-2-22-22-2200000000000000000000000000000000-220002-200000
χ3522-2-2-222-222-2-2-2-222-2-2-2-22222-222-22-200000000000000000000000000000000000000002-2-22
χ3622-2-2-222-222-2-2-2-222-2-2-2-22222-222-22-20000000000000000000000000000000000000000-222-2
χ3722-2-2-222-2-2-22222-2-222-2-2-22-22-222-2-220000000000000000000000002i2i−2i−2i2i2i−2i−2i000000000000
χ3822-2-2-222-2-2-22222-2-222-2-2-22-22-222-2-22000000000000000000000000−2i−2i2i2i−2i−2i2i2i000000000000
χ3922-2-2-222-2-2-22222-2-2-2-2222-22-2-22-222-22i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000
χ4022-2-2-222-2-2-22222-2-2-2-2222-22-2-22-222-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000
χ4122-2-2-222-2-2-222-2-22222-2-2-22-222-2-222-20000000000000000000000002i2i−2i−2i−2i−2i2i2i000000000000
χ4222-2-2-222-2-2-222-2-22222-2-2-22-222-2-222-2000000000000000000000000−2i−2i2i2i2i2i−2i−2i000000000000
χ4322-2-2-222-2-2-222-2-222-2-2222-22-22-22-2-222i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000
χ4422-2-2-222-2-2-222-2-222-2-2222-22-22-22-2-22−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000
χ452-222-22-2-22-22-200002-22-22-2-220000002i−2i2i−2i00000000000000002-22-200002i−2i2i−2i000000000000
χ462-222-22-2-22-22-200002-22-22-2-220000002i−2i2i−2i0000000000000000-22-220000−2i2i−2i2i000000000000
χ472-222-22-2-22-22-200002-22-22-2-22000000−2i2i−2i2i00000000000000002-22-20000−2i2i−2i2i000000000000
χ482-222-22-2-22-22-200002-22-22-2-22000000−2i2i−2i2i0000000000000000-22-2200002i−2i2i−2i000000000000
χ492-222-22-2-22-22-20000-22-22-222-200000000002i−2i2i−2i0000000000002i−2i−2i2i2-22-20000000000000000
χ502-222-22-2-22-22-20000-22-22-222-200000000002i−2i2i−2i000000000000−2i2i2i−2i-22-220000000000000000
χ512-222-22-2-22-22-20000-22-22-222-20000000000−2i2i−2i2i0000000000002i−2i−2i2i-22-220000000000000000
χ522-222-22-2-22-22-20000-22-22-222-20000000000−2i2i−2i2i000000000000−2i2i2i−2i2-22-20000000000000000
χ532-2-2-222-22-222-200002-2-22-2-22200000000002-2-22000000002-22-2000000002-2-22000000000000
χ542-2-2-222-22-222-200002-2-22-2-22200000000002-2-2200000000-22-2200000000-222-2000000000000
χ552-2-2-222-22-222-200002-2-22-2-2220000000000-222-2000000002-22-200000000-222-2000000000000
χ562-2-2-222-22-222-200002-2-22-2-2220000000000-222-200000000-22-22000000002-2-22000000000000
χ572-2-2-222-22-222-20000-222-222-2-20000002-2-220000000000002i−2i−2i2i0000−2i2i2i−2i0000000000000000
χ582-2-2-222-22-222-20000-222-222-2-20000002-2-22000000000000−2i2i2i−2i00002i−2i−2i2i0000000000000000
χ592-2-2-222-22-222-20000-222-222-2-2000000-222-20000000000002i−2i−2i2i00002i−2i−2i2i0000000000000000
χ602-2-2-222-22-222-20000-222-222-2-2000000-222-2000000000000−2i2i2i−2i0000−2i2i2i−2i0000000000000000
χ614-444-44-4-4-44-4400004-4-4444-4-400000000000000000000000000000000000000000000000000
χ624-444-44-4-4-44-440000-444-4-4-44400000000000000000000000000000000000000000000000000
χ634-44-44-44-400004-44-40000000000000000000000002i2−2i2002i2−2i20000000000000000000000000000
χ644-44-44-44-400004-44-4000000000000000000000000−2i22i200−2i22i20000000000000000000000000000
χ654-44-44-44-40000-44-440000000000000000000000002i2−2i200−2i22i20000000000000000000000000000
χ664-44-44-44-40000-44-44000000000000000000000000−2i22i2002i2−2i20000000000000000000000000000
χ674-4-44-4-44400004-4-44000000000000000000000022−220022−22000000000000000000000000000000
χ684-4-44-4-44400004-4-440000000000000000000000−222200−2222000000000000000000000000000000
χ694-4-44-4-4440000-444-4000000000000000000000022−2200−2222000000000000000000000000000000
χ704-4-44-4-4440000-444-40000000000000000000000−22220022−22000000000000000000000000000000
χ714-4-4-444-444-4-4400004-44-4-444-400000000000000000000000000000000000000000000000000
χ724-4-4-444-444-4-440000-44-444-4-4400000000000000000000000000000000000000000000000000
χ73888-8-8-8-88000000000000000000000000000000000000000000000000000000000000000000
χ7488-888-8-8-8000000000000000000000000000000000000000000000000000000000000000000

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