Finite Group Databasebeta

← Group #72312698

Character table — Group #72312698

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73
size1111222244444444444444444888888161616161616161616161616161616161616161616161616161616163232323232323232323232323232
order1222224422222222224444444444444222244444444444444448888888824444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ311111111111111111111111111111111111-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ51111111111111111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ61111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ71111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111
χ911111111111-1-1-1-11111111111-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-1
χ1011111111111-1-1-1-11111111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ1111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111
χ1211111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1
χ1311111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1
χ1411111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1-111
χ1511111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111
χ1611111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-111-1-1
χ172222222222-222-2-2-2-2-2-2-2-2-22222-22-22-200000000000000000000000000002-2002-200000000
χ182222222222-222-2-2-2-2-2-2-2-2-22222-22-22-20000000000000000000000000000-2200-2200000000
χ192222222222-2-2-222-2-2-2-2-2-2-2222-22-22-2200000000000000000000000000002-200-2200000000
χ202222222222-2-2-222-2-2-2-2-2-2-2222-22-22-220000000000000000000000000000-22002-200000000
χ2122222222-2-222222-2-2222-2-2-2-2222-2-2-2-20000000000000000000022-2-222-2-200000000000000
χ2222222222-2-222222-2-2222-2-2-2-2222-2-2-2-200000000000000000000-2-222-2-22200000000000000
χ2322222222-2-22-2-2-2-2-2-2222-2-2-2-22-2-222220000000000000000000022-2-2-2-22200000000000000
χ2422222222-2-22-2-2-2-2-2-2222-2-2-2-22-2-2222200000000000000000000-2-22222-2-200000000000000
χ2522222222-2-2-222-2-222-2-2-222-2-222-2-22-220000220000-2-20000000000000000002-20000000000
χ2622222222-2-2-222-2-222-2-2-222-2-222-2-22-220000-2-2000022000000000000000000-220000000000
χ2722222222-2-2-2-2-22222-2-2-222-2-22-222-22-20000220000-2-2000000000000000000-220000000000
χ2822222222-2-2-2-2-22222-2-2-222-2-22-222-22-20000-2-20000220000000000000000002-20000000000
χ29222222-2-22222222222-2-2-2-2-2-2-2-2-2-2-22200000000000000000000000000000000002-22-20000
χ30222222-2-22222222222-2-2-2-2-2-2-2-2-2-2-2220000000000000000000000000000000000-22-220000
χ31222222-2-2222-2-2-2-2222-2-2-2-2-2-2-22222-2-200000000000000000000000000000000002-2-220000
χ32222222-2-2222-2-2-2-2222-2-2-2-2-2-2-22222-2-20000000000000000000000000000000000-222-20000
χ33222222-2-222-222-2-2-2-2-22222-2-2-2-22-222-20000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000
χ34222222-2-222-222-2-2-2-2-22222-2-2-2-22-222-2000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000
χ35222222-2-222-2-2-222-2-2-22222-2-2-22-22-2-220000000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000
χ36222222-2-222-2-2-222-2-2-22222-2-2-22-22-2-22000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000
χ37222222-2-2-2-222222-2-22-2-22222-2-2-222-2-2000000000000000000000000000000000000002-22-2
χ38222222-2-2-2-222222-2-22-2-22222-2-2-222-2-200000000000000000000000000000000000000-22-22
χ39222222-2-2-2-22-2-2-2-2-2-22-2-22222-222-2-222000000000000000000000000000000000000002-2-22
χ40222222-2-2-2-22-2-2-2-2-2-22-2-22222-222-2-22200000000000000000000000000000000000000-222-2
χ41222222-2-2-2-2-222-2-222-222-2-222-2-222-2-222-22-2002-22-200000000000000000000000000000000
χ42222222-2-2-2-2-222-2-222-222-2-222-2-222-2-22-22-2200-22-2200000000000000000000000000000000
χ43222222-2-2-2-2-2-2-22222-222-2-222-22-2-222-22-2-22002-2-2200000000000000000000000000000000
χ44222222-2-2-2-2-2-2-22222-222-2-222-22-2-222-2-222-200-222-200000000000000000000000000000000
χ452222-2-2222-2200002-2-22-22-22-2-200000000220000-2-2002i−2i2i−2i000000002i−2i2i−2i00000000000000
χ462222-2-2222-2200002-2-22-22-22-2-200000000220000-2-200−2i2i−2i2i00000000−2i2i−2i2i00000000000000
χ472222-2-2222-2200002-2-22-22-22-2-200000000-2-2000022002i−2i2i−2i00000000−2i2i−2i2i00000000000000
χ482222-2-2222-2200002-2-22-22-22-2-200000000-2-200002200−2i2i−2i2i000000002i−2i2i−2i00000000000000
χ492222-2-222-2220000-22-22-2-22-22-2000000220000-2-2000000002i−2i2i−2i00002i−2i−2i2i00000000000000
χ502222-2-222-2220000-22-22-2-22-22-2000000220000-2-200000000−2i2i−2i2i0000−2i2i2i−2i00000000000000
χ512222-2-222-2220000-22-22-2-22-22-2000000-2-2000022000000002i−2i2i−2i0000−2i2i2i−2i00000000000000
χ522222-2-222-2220000-22-22-2-22-22-2000000-2-200002200000000−2i2i−2i2i00002i−2i−2i2i00000000000000
χ532222-2-2-2-22-2-20000-2222-22-2-2220000002-20000-2200002-2-2200002-22-2000000000000000000
χ542222-2-2-2-22-2-20000-2222-22-2-2220000002-20000-220000-222-20000-22-22000000000000000000
χ552222-2-2-2-22-2-20000-2222-22-2-222000000-2200002-200002-2-220000-22-22000000000000000000
χ562222-2-2-2-22-2-20000-2222-22-2-222000000-2200002-20000-222-200002-22-2000000000000000000
χ572222-2-2-2-2-22-200002-222-2-222-22000000002-20000-220000002-2-222-2-22000000000000000000
χ582222-2-2-2-2-22-200002-222-2-222-22000000002-20000-22000000-222-2-222-2000000000000000000
χ592222-2-2-2-2-22-200002-222-2-222-2200000000-2200002-20000002-2-22-222-2000000000000000000
χ602222-2-2-2-2-22-200002-222-2-222-2200000000-2200002-2000000-222-22-2-22000000000000000000
χ614444-4-4444-4-40000-444-44-444-4-4000000000000000000000000000000000000000000000000
χ624444-4-444-44-400004-44-444-4-44-4000000000000000000000000000000000000000000000000
χ634444-4-4-4-44-4400004-4-4-44-44-444000000000000000000000000000000000000000000000000
χ644444-4-4-4-4-4440000-44-4-444-44-44000000000000000000000000000000000000000000000000
χ6588-8-8008-80000000000000000000000000000000004i−4i000000000000000000000000000000
χ6688-8-8008-8000000000000000000000000000000000−4i4i000000000000000000000000000000
χ6788-8-800-880000000000000000000000000004i−4i000000000000000000000000000000000000
χ6888-8-800-88000000000000000000000000000−4i4i000000000000000000000000000000000000
χ698-8-888-800000008-80000000000000000000000000000000000000000000000000000000000
χ708-8-888-80000000-880000000000000000000000000000000000000000000000000000000000
χ718-8-88-88000008-8000000000000000000000000000000000000000000000000000000000000
χ728-8-88-8800000-88000000000000000000000000000000000000000000000000000000000000
χ7316-1616-16000000000000000000000000000000000000000000000000000000000000000000000

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