Finite Group Databasebeta

← Group #72341536

Character table — Group #72341536

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size1111224444448888888888888888161616161616161616161616161616161616161616161616161632323232323264646464
order1222222244442222224444444444222222244444444444444444444488884444
χ11111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-11111-1-11111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-11111-1-1111-1-111-11-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ411111111111111111111-1-11111-1-1111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-111-1-111
χ5111111111111111111-1-111-1-1-1-1-1-1-1-1-11-111-11111111-1-11111-1-1-1-1-1-1-1-1-1111-11-1
χ6111111111111111111-1-111-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-111-1-11111-1-1-1-1-11111-1-1-11-11
χ7111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1-11111111-1-1-1-11-1-11
χ8111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-111111-1-11111-111-1
χ9111111111111-1-111111111-1-1-1-1-1-11-1-111111-1-1-111-1-11111-1-111-1-1-1-1-1-1-111-11-11
χ10111111111111-1-111111111-1-1-1-1-1-11-1-111-1-11-1-1-1-1-1-1-11111-1-111-1-1-11111-1-11-11-1
χ11111111111111-1-1111111-1-1-1-1-1-1111-1-1-1-111-1-11111-1-111-1-111-1-111111-1-1-1-1-111-1
χ12111111111111-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1111-1-111111-1-11
χ13111111111111-1-11111-1-111111111-1111-111-1-1-1-111-1-1-1-111-1-1-1-1111111111-1-1-1-1
χ14111111111111-1-11111-1-111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-11111
χ15111111111111-1-11111-1-1-1-11111-1-1-111-11111-11111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-111
χ16111111111111-1-11111-1-1-1-11111-1-1-111-11-1-11-111-1-1-1-1-1-1-1-11111-1-1-111-1-11111-1-1
χ1722222222222200-2-2-2-200222222220-2-220000000000000-2-200002-2-20000000000
χ1822222222222200-2-2-2-20022-2-2-2-2-2-202220000000000000-2-20000-2220000000000
χ1922222222222200-2-2-2-200-2-22222-2-20-2-2-20000000000000220000-2220000000000
χ2022222222222200-2-2-2-200-2-2-2-2-2-222022-200000000000002200002-2-20000000000
χ2122222222-2-2-2-20022-2-22200000022200000000-2-20000-2-2002200-22-20000000000
χ2222222222-2-2-2-20022-2-222000000-2-2200000000220000-2-200-2-2002-220000000000
χ2322222222-2-2-2-20022-2-2-2-200000022-2000000002200002200-2-200-22-20000000000
χ2422222222-2-2-2-20022-2-2-2-2000000-2-2-200000000-2-20000220022002-220000000000
χ2522222222-2-2-2-222-2-22200000000220000-200-220000-2-200000022-2-220000000000
χ2622222222-2-2-2-222-2-22200000000-2-20000200220000-2-2000000-2-222-20000000000
χ2722222222-2-2-2-2-2-2-2-222000000002200002002-2000022000000-2-2-2-220000000000
χ2822222222-2-2-2-2-2-2-2-22200000000-2-20000-200-2-20000220000002222-20000000000
χ29222222-2-22-22-2002-22-2000022-2-20002-20200-202-2000000002-22-20000000000000
χ30222222-2-22-22-2002-22-2000022-2-20002-20-20020-2200000000-22-220000000000000
χ31222222-2-22-22-2002-22-20000-2-222000-220200-20-2200000000-222-20000000000000
χ32222222-2-22-22-2002-22-20000-2-222000-220-200202-2000000002-2-220000000000000
χ33222222-2-22-22-222-22-22220022-2-200-2-2200000-200002-22-20000000000000000000
χ34222222-2-22-22-222-22-22-2-200-2-2220022-200000-200002-2-220000000000000000000
χ35222222-2-22-22-2-2-2-22-222200-2-22200-22-20000020000-222-20000000000000000000
χ36222222-2-22-22-2-2-2-22-22-2-20022-2-2002-220000020000-22-220000000000000000000
χ37222222-2-2-22-2200-222-22222000000-200-2-20020000000-222-2002-20000000000000
χ38222222-2-2-22-2200-222-222-2-2000000-2002200-20000000-22-2200-220000000000000
χ39222222-2-2-22-2200-222-2-2-222000000200-2200-200000002-22-200-220000000000000
χ40222222-2-2-22-2200-222-2-2-2-2-20000002002-200200000002-2-22002-20000000000000
χ41222222-2-2-22-22222-2-220022000000000-20000-2-2200-2200-222-2000000000000000
χ42222222-2-2-22-22222-2-2200-2-200000000020000-22-200-22002-2-22000000000000000
χ43222222-2-2-22-22-2-22-2-220022000000000-2000022-2002-200-22-22000000000000000
χ44222222-2-2-22-22-2-22-2-2200-2-2000000000200002-22002-2002-22-2000000000000000
χ454444-4-44-40000000000000000004i−4i00000220000-2-200000000000002i−2i00000000
χ464444-4-44-40000000000000000004i−4i00000-2-20000220000000000000−2i2i00000000
χ474444-4-44-4000000000000000000−4i4i00000220000-2-20000000000000−2i2i00000000
χ484444-4-44-4000000000000000000−4i4i00000-2-200002200000000000002i−2i00000000
χ494-4-444-4000-404000000004-4000000000002-200002-2000000000000000002-20000
χ504-4-444-4000-404000000004-400000000000-220000-2200000000000000000-220000
χ514-4-444-4000-40400000000-44000000000002-200002-200000000000000000-220000
χ524-4-444-4000-40400000000-4400000000000-220000-22000000000000000002-20000
χ534-4-44-4400-40400000000000004-400000002-20000-220000000000000002-2000000
χ544-4-44-4400-40400000000000004-40000000-2200002-2000000000000000-22000000
χ554-4-44-4400-4040000000000000-4400000002-20000-22000000000000000-22000000
χ564-4-44-4400-4040000000000000-440000000-2200002-20000000000000002-2000000
χ578888-8-8-8800000000000000000000000000000000000000000000000000000000
χ588-88-8000000004-400004-4004-40000000000000000000000000000000000000000
χ598-88-8000000004-40000-4400-440000000000000000000000000000000000000000
χ608-88-800000000-4400004-400-440000000000000000000000000000000000000000
χ618-88-800000000-440000-44004-40000000000000000000000000000000000000000
χ628-8-888-800080-80000000000000000000000000000000000000000000000000000
χ638-8-88-880080-800000000000000000000000000000000000000000000000000000
χ641616-16-16000000000000000000000000000000000000000000000000000000000000

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