Finite Group Databasebeta

← Group #72337694

Character table — Group #72337694

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67
size1111224444448888888888888888888888161616161616161616161616161616161616161616161632323232323264646464
order1222222244442222224444444444444444222224444444444444444444488884444
χ11111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111-1-1-1-11-1-1111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1111111-1-1-1-11-1-11111-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-1111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1
χ9111111111111-1-11111-1-111-1-111-1-1-1-111-1-1-11-111111-11-111-1-111-1-111-1-1-1-111-1-11-11-1
χ10111111111111-1-11111-1-111-1-111-1-1-1-111-1-1-11-1-1-1-1-11-11-111-1-111-1-111-1-111-1-111-11-11
χ11111111111111-1-11111-1-111-1-1-1-111-1-1-1-111-1-1111111-1-1111-1-1-1-111-1-111-1-111-1-1-11-11
χ12111111111111-1-11111-1-111-1-1-1-111-1-1-1-111-1-11-1-1-1-11-1-1111-1-1-1-111-1-11111-1-1111-11-1
χ13111111111111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111111-111-1-1-11111-1-1-1-111-1-1-1-1111-1-11
χ14111111111111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11-1-1-1-1-111-1-1-11111-1-1-1-1111111-1-1-111-1
χ15111111111111-1-11111-1-1-1-111-1-111-1-111-1-1-11-11111-11-11-1-111-1-11111-1-1-1-1-1-111-111-1
χ16111111111111-1-11111-1-1-1-111-1-111-1-111-1-1-11-1-1-1-1-1-11-11-1-111-1-11111-1-11111-1-11-1-11
χ1722222222222222-2-2-2-2-2-222220000-2-2000020000002200-2-2-2-2000000000000000000
χ1822222222222222-2-2-2-2-2-2-2-2-2-20000-2-200002000000-2-2002222000000000000000000
χ19222222222222-2-2-2-2-2-22222-2-20000220000-20000002-200-2-222000000000000000000
χ20222222222222-2-2-2-2-2-222-2-2220000220000-2000000-220022-2-2000000000000000000
χ2122222222-2-2-2-22222-2-22200002222-2-20000-200000000220000-2-2-2-200000000000000
χ2222222222-2-2-2-22222-2-2220000-2-2-2-2-2-20000-200000000-2-20000222200000000000000
χ2322222222-2-2-2-222-2-222-2-200000000222222-2220000000000000000-2-2-2-20000000000
χ2422222222-2-2-2-222-2-222-2-20000000022-2-2-2-2-2-2-2000000000000000022220000000000
χ2522222222-2-2-2-2-2-222-2-2-2-2000022-2-22200002000000002-20000-2-22200000000000000
χ2622222222-2-2-2-2-2-222-2-2-2-20000-2-222220000200000000-22000022-2-200000000000000
χ2722222222-2-2-2-2-2-2-2-2222200000000-2-222-2-222-20000000000000000-2-2220000000000
χ2822222222-2-2-2-2-2-2-2-2222200000000-2-2-2-2222-22000000000000000022-2-20000000000
χ29222222-2-22-22-2002-22-200002200220022000-2000000-20-2002-2002-22-2000000000000
χ30222222-2-22-22-2002-22-200002200-2-200-2-20002000000-202002-200-22-22000000000000
χ31222222-2-22-22-2002-22-20000-2-2002200-2-2000200000020-200-22002-2-22000000000000
χ32222222-2-22-22-2002-22-20000-2-200-2-20022000-200000020200-2200-222-2000000000000
χ33222222-2-22-22-200-22-22000022220000002200-200000-2-2000-222-200002-20000000000
χ34222222-2-22-22-200-22-22000022-2-2000000-2-200200000-22000-22-220000-220000000000
χ35222222-2-22-22-200-22-220000-2-222000000-2-2002000002-20002-22-20000-220000000000
χ36222222-2-22-22-200-22-220000-2-2-2-20000002200-200000220002-2-2200002-20000000000
χ37222222-2-2-22-22002-2-22002200002200002200-20000-200-22-20000-2200-220000000000
χ38222222-2-2-22-22002-2-2200220000-2-20000-2-20020000-20022-200002-2002-20000000000
χ39222222-2-2-22-22002-2-2200-2-20000220000-2-20020000200-2-220000-22002-20000000000
χ40222222-2-2-22-22002-2-2200-2-20000-2-200002200-200002002-2200002-200-220000000000
χ41222222-2-2-22-2200-222-200220022000022000-200000-20-20-2200-2200-22000000000000
χ42222222-2-2-22-2200-222-2002200-2-20000-2-2000200000-2020-22002-2002-2000000000000
χ43222222-2-2-22-2200-222-200-2-200220000-2-200020000020-202-200-22002-2000000000000
χ44222222-2-2-22-2200-222-200-2-200-2-2000022000-20000020202-2002-200-22000000000000
χ454444-4-4-4400004-40000000000000000000000022-2-200000000000000002-200000000
χ464444-4-4-4400004-400000000000000000000000-2-2220000000000000000-2200000000
χ474444-4-4-440000-440000000000000000000000022-2-20000000000000000-2200000000
χ484444-4-4-440000-4400000000000000000000000-2-22200000000000000002-200000000
χ494-44-44-400040-4000000004i−4i0000000000000002-22-20000000000000000002i−2i000000
χ504-44-44-400040-4000000004i−4i000000000000000-22-22000000000000000000−2i2i000000
χ514-44-44-400040-400000000−4i4i0000000000000002-22-2000000000000000000−2i2i000000
χ524-44-44-400040-400000000−4i4i000000000000000-22-220000000000000000002i−2i000000
χ534-44-4-440040-4000000000004i−4i00000000000002-2-22000000000000000000002i−2i0000
χ544-44-4-440040-4000000000004i−4i0000000000000-222-200000000000000000000−2i2i0000
χ554-44-4-440040-400000000000−4i4i00000000000002-2-2200000000000000000000−2i2i0000
χ564-44-4-440040-400000000000−4i4i0000000000000-222-2000000000000000000002i−2i0000
χ578888-8-88-800000000000000000000000000000000000000000000000000000000000
χ5888-8-8000000000000004-400004i−4i4i−4i000000000000000000000000000000000000000
χ5988-8-8000000000000004-40000−4i4i−4i4i000000000000000000000000000000000000000
χ6088-8-800000000000000-4400004i−4i−4i4i000000000000000000000000000000000000000
χ6188-8-800000000000000-440000−4i4i4i−4i000000000000000000000000000000000000000
χ628-88-88-8000-8080000000000000000000000000000000000000000000000000000000
χ638-88-8-8800-80800000000000000000000000000000000000000000000000000000000
χ648-8-880000000000000000000000004-44-44-4000000000000000000000000000000000
χ658-8-880000000000000000000000004-4-44-44000000000000000000000000000000000
χ668-8-88000000000000000000000000-444-4-44000000000000000000000000000000000
χ678-8-88000000000000000000000000-44-444-4000000000000000000000000000000000

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