Finite Group Databasebeta

← Group #72338721

Character table — Group #72338721

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67
size1111224444448888888888888888888888161616161616161616161616161616161616161616161632323232323264646464
order1222222244442222222222444444444444222224444444444444444444488884444
χ11111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1111111111111-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1
χ611111111111111-1-1-1-1111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111
χ711111111111111-1-1-1-111111111-1-1-1-111111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111
χ811111111111111-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1
χ9111111111111-1-111-1-11111-1-1-1-111-1-111-1-1-11-1111-11-11111-1-111-1-111-1-1-1-111-1-11-11-1
χ10111111111111-1-111-1-11111-1-1-1-111-1-111-1-1-11-1-1-11-11-1-1-111-1-111-1-111-1-111-1-111-11-11
χ11111111111111-1-111-1-11111-1-1-1-1-1-111-1-111-1-11111-1-111111-1-1-1-111-1-111-1-111-1-1-11-11
χ12111111111111-1-111-1-11111-1-1-1-1-1-111-1-111-1-11-1-11-1-11-1-111-1-1-1-111-1-11111-1-1111-11-1
χ13111111111111-1-1-1-1111111-1-1-1-111-1-1-1-111-11-111-11-1111-1-11111-1-1-1-111-1-1-1-1111-1-11
χ14111111111111-1-1-1-1111111-1-1-1-111-1-1-1-111-11-1-1-1-11-11-1-1-1-11111-1-1-1-1111111-1-1-111-1
χ15111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111-111-111-1-111-1-11111-1-1-1-1-1-111-111-1
χ16111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11-1-1-111-1-1-1-1-111-1-11111-1-11111-1-11-1-11
χ17222222222222222222-2-2-2-2-2-2-2-20000000020000220000-2-2-2-2000000000000000000
χ1822222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000020000-2-200002222000000000000000000
χ19222222222222-2-222-2-2-2-2-2-2222200000000-200002-20000-2-222000000000000000000
χ20222222222222-2-2-2-222-2-2-2-2222200000000-20000-22000022-2-2000000000000000000
χ2122222222-2-2-2-222000022-2-222-2-200002222-2000000220000000000-2-2-2-20000000000
χ2222222222-2-2-2-222000022-2-222-2-20000-2-2-2-2-2000000-2-2000000000022220000000000
χ2322222222-2-2-2-2220000-2-222-2-22222220000-222000000000000-2-2-2-200000000000000
χ2422222222-2-2-2-2220000-2-222-2-222-2-2-2-20000-2-2-2000000000000222200000000000000
χ2522222222-2-2-2-2-2-2000022-2-2-2-222000022-2-220000002-20000000000-2-2220000000000
χ2622222222-2-2-2-2-2-2000022-2-2-2-2220000-2-2222000000-22000000000022-2-20000000000
χ2722222222-2-2-2-2-2-20000-2-22222-2-222-2-2000022-2000000000000-2-22200000000000000
χ2822222222-2-2-2-2-2-20000-2-22222-2-2-2-22200002-2200000000000022-2-200000000000000
χ29222222-2-22-22-20000222-22-200000022220000-2000-2-2000002-2002-22-2000000000000
χ30222222-2-22-22-20000222-22-2000000-2-2-2-200002000-22000002-200-22-22000000000000
χ31222222-2-22-22-2000022-22-220000220000220-20000-20-20000-222-200002-20000000000
χ32222222-2-22-22-2000022-22-220000-2-20000-2-2020000-2020000-22-220000-220000000000
χ33222222-2-22-22-20000-2-22-22-200000022-2-20000-20002200000-22002-2-22000000000000
χ34222222-2-22-22-20000-2-22-22-2000000-2-222000020002-200000-2200-222-2000000000000
χ35222222-2-22-22-20000-2-2-22-220000220000-2-20-2000020200002-22-20000-220000000000
χ36222222-2-22-22-20000-2-2-22-220000-2-200002202000020-200002-2-2200002-20000000000
χ37222222-2-2-22-220022002-2-220000220022000-2000-20-20002-200-2200-22000000000000
χ38222222-2-2-22-220022002-2-220000-2-200-2-20002000-2020002-2002-2002-2000000000000
χ39222222-2-2-22-22002200-222-200000022002200-200-200-200-220000-2200-220000000000
χ40222222-2-2-22-22002200-222-2000000-2-200-2-200200-200200-2200002-2002-20000000000
χ41222222-2-2-22-2200-2-2002-2-2200002200-2-2000-2000202000-2200-22002-2000000000000
χ42222222-2-2-22-2200-2-2002-2-220000-2-20022000200020-2000-22002-200-22000000000000
χ43222222-2-2-22-2200-2-200-222-20000002200-2-200-2002002002-20000-22002-20000000000
χ44222222-2-2-22-2200-2-200-222-2000000-2-2002200200200-2002-200002-200-220000000000
χ454444-4-4-4400004-400000000000000000000000220000-2-20000000000002-200000000
χ464444-4-4-4400004-400000000000000000000000-2-2000022000000000000-2200000000
χ474444-4-4-440000-4400000000000000000000000220000-2-2000000000000-2200000000
χ484444-4-4-440000-4400000000000000000000000-2-20000220000000000002-200000000
χ494-4-444-4000-404004-40000000000000000000002-200002-2000000000000002-2000000
χ504-4-444-4000-404004-4000000000000000000000-220000-2200000000000000-22000000
χ514-4-444-4000-40400-440000000000000000000002-200002-200000000000000-22000000
χ524-4-444-4000-40400-44000000000000000000000-220000-22000000000000002-2000000
χ534-4-44-4400-404000004-400000000000000000002-20000-2200000000000000002-20000
χ544-4-44-4400-404000004-40000000000000000000-2200002-20000000000000000-220000
χ554-4-44-4400-40400000-4400000000000000000002-20000-220000000000000000-220000
χ564-4-44-4400-40400000-440000000000000000000-2200002-200000000000000002-20000
χ578888-8-88-800000000000000000000000000000000000000000000000000000000000
χ5888-8-80000000000000000004-40000004i−4i4i−4i000000000000000000000000000000000
χ5988-8-80000000000000000004-4000000−4i4i−4i4i000000000000000000000000000000000
χ6088-8-8000000000000000000-440000004i−4i−4i4i000000000000000000000000000000000
χ6188-8-8000000000000000000-44000000−4i4i4i−4i000000000000000000000000000000000
χ628-88-8000000000000000000004-44-44-40000000000000000000000000000000000000
χ638-88-8000000000000000000004-4-44-440000000000000000000000000000000000000
χ648-88-800000000000000000000-444-4-440000000000000000000000000000000000000
χ658-88-800000000000000000000-44-444-40000000000000000000000000000000000000
χ668-8-888-800080-80000000000000000000000000000000000000000000000000000000
χ678-8-88-880080-800000000000000000000000000000000000000000000000000000000

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