Finite Group Databasebeta

← Group #72282042

Character table — Group #72282042

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73
size111122444444444444888888888888888888888881616161616161616161616161616161616161616163232323232323232646464
order1222222222222244442244444444444444444444422444444444444444888844888888448
χ11111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-111-1-11-1-1111-1-11111-1-111-1-1-1-11-11
χ411111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-111-1-11-1-1111-1-1-1-1-1-111-1-11111-11-1
χ5111111111111111111-1-1111111-1-1-1-111-1-1-1-1-1-1111-111-1-1-1-1111-1-1-1-1-11111111111-1-1-1-1-11-1
χ6111111111111111111-1-1111111-1-1-1-111-1-1-1-1-1-1111-111-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-111111-11
χ7111111111111111111-1-1-1-1-1-1-1-1111111-1-11111111-1-1111-1-1-1-1111-1-1-1-1-11111-1-1111111-1-1-1
χ8111111111111111111-1-1-1-1-1-1-1-1111111-1-11111111-1-1111-1-1-1-1111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111
χ911111111-1-1-1-1111111111111-1-111-1-1-1-1-1-111-1-1111-11-11-11-11-1-11-111-1-1-1111111-1-111-1-1-1-11
χ1011111111-1-1-1-1111111111111-1-111-1-1-1-1-1-111-1-1111-11-11-11-11-1-11-111-1-1-1-1-1-1-1-1-111-1-11111-1
χ1111111111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-111111-1-1-1-111-1-11-1-1111-1111111-1-1-1-1-1-111-111
χ1211111111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-111111-1-1-1-111-1-11-1-1111-111-1-1-1-1111111-1-11-1-1
χ1311111111-1-1-1-1111111-1-11111-1-1-1-111-1-111-1-11111111-1-11-111-1-1-11-1-11-1-1111111-1-1-1-1111-1-1
χ1411111111-1-1-1-1111111-1-11111-1-1-1-111-1-111-1-11111111-1-11-111-1-1-11-1-11-1-1-1-1-1-1-1-11111-1-1-111
χ1511111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-11-1-11-11-11-1-1-11111111-1-1-1-111-1-111-1
χ1611111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-11-1-11-11-11-1-1-1111-1-1-1-11111-1-111-1-11
χ1722222222222222-22-2200000000222222002222-2-2-200-2-2-20000-2-2-200000000000000000000
χ1822222222222222-22-2200000000-2-2-2-22200-2-2-2-2-2-2-200-2220000-22200000000000000000000
χ1922222222-2-2-2-222-22-220000000022-2-2-2-20022-2-2-2-2-2002-2200002-2200000000000000000000
χ2022222222-2-2-2-222-22-2200000000-2-222-2-200-2-222-2-2-20022-2000022-200000000000000000000
χ212222222-200002-22-22-20022-2-2000022002200-2-2-22-2-2-20020-22000-200200000000000000000
χ222222222-200002-22-22-20022-2-20000-2-200-2-20022-22-22-200-2022000200-200000000000000000
χ232222222-200002-22-22-200-2-22200002200-2-200-2-2-22-22200202-2000-200-200000000000000000
χ242222222-200002-22-22-200-2-2220000-2-200220022-22-2-2200-20-2-2000200200000000000000000
χ252222222-200002-2-2-2-2-2220000220022000000-2-22-220000-2-200-20022-202-2000000000000000
χ262222222-200002-2-2-2-2-2220000-2-200-2-2000000222-2200002-200200-22-20-22000000000000000
χ272222222-200002-2-2-2-2-2-2-200002200-2-2000000222-2200002200-200-2-2202-2000000000000000
χ282222222-200002-2-2-2-2-2-2-20000-2-20022000000-2-22-220000-22002002-220-22000000000000000
χ29222222-222222-222-22-2002222220000-2-2000000-2-220-220000-22-200000-2-2000000000000000
χ30222222-222222-222-22-200-2-2-2-2-2-20000-2-2000000-2-2202200002-2-20000022000000000000000
χ31222222-222222-22-2-2-2-2220000000000-2-222000022-220-200-2-200200-22-200000000000000000
χ32222222-222222-22-2-2-2-2-2-20000000000-2-2-2-2000022-2-20-20022002002-2200000000000000000
χ33222222-22-2-2-2-2-222-22-2002222-2-2000022000000-2-220-2-20000-2-220000022000000000000000
χ34222222-22-2-2-2-2-222-22-200-2-2-2-222000022000000-2-2202-2000022200000-2-2000000000000000
χ35222222-22-2-2-2-2-22-2-2-2-222000000000022-2-2000022-2-20200-2200-200-22200000000000000000
χ36222222-22-2-2-2-2-22-2-2-2-2-2-200000000002222000022-2202002-200-2002-2-200000000000000000
χ37222222-2-20000-2-222222222-2-200-2-200000022002-2-2020-2020-20020-2-2000000000000000000
χ38222222-2-20000-2-2222222-2-2220022000000-2-2002-2-20-202020200-20-2-2000000000000000000
χ39222222-2-20000-2-22222-2-222-2-20022000000-2-2002-2-202020-20-200-2022000000000000000000
χ40222222-2-20000-2-22222-2-2-2-22200-2-200000022002-2-20-20-20-202002022000000000000000000
χ41222222-2-20000-2-2-22-2200000022220000-2-2-2-200-222200-200-20-2020002-22000000000000000
χ42222222-2-20000-2-2-22-2200000022-2-20000222200-222-20020020-20-2000-2-22000000000000000
χ43222222-2-20000-2-2-22-22000000-2-222000022-2-200-222-200-20020202000-22-2000000000000000
χ44222222-2-20000-2-2-22-22000000-2-2-2-20000-2-22200-222200200-2020-200022-2000000000000000
χ452-2-22-222222-2-2-2-2020-2000000002-22-22-2002-22-200000000000000000000i2i2−i2−i200i2−i2i2−i2i2−i2000
χ462-2-22-222222-2-2-2-2020-2000000002-22-22-2002-22-200000000000000000000−i2−i2i2i200−i2i2−i2i2−i2i2000
χ472-2-22-222222-2-2-2-2020-200000000-22-222-200-22-2200000000000000000000i2i2−i2−i200i2−i2−i2i2−i2i2000
χ482-2-22-222222-2-2-2-2020-200000000-22-222-200-22-2200000000000000000000−i2−i2i2i200−i2i2i2−i2i2−i2000
χ492-2-22-2222-2-222-2-2020-2000000002-2-22-22002-2-2200000000000000000000i2i2−i2−i200−i2i2i2−i2−i2i2000
χ502-2-22-2222-2-222-2-2020-2000000002-2-22-22002-2-2200000000000000000000−i2−i2i2i200i2−i2−i2i2i2−i2000
χ512-2-22-2222-2-222-2-2020-200000000-222-2-2200-222-200000000000000000000i2i2−i2−i200−i2i2−i2i2i2−i2000
χ522-2-22-2222-2-222-2-2020-200000000-222-2-2200-222-200000000000000000000−i2−i2i2i200i2−i2i2−i2−i2i2000
χ534444-4-400000000-404000004-400000000000000000000000000000000002-22-22-2000000000
χ544444-4-400000000-404000004-40000000000000000000000000000000000-22-22-22000000000
χ554444-4-400000000-40400000-4400000000000000000000000000000000002-22-2-22000000000
χ564444-4-400000000-40400000-440000000000000000000000000000000000-22-222-2000000000
χ574-4-44-444-40000-440-40400000000004-4000000-4400000000000000000000000000000000000
χ584-4-44-444-40000-440-4040000000000-440000004-400000000000000000000000000000000000
χ594-4-44-44-4444-4-44-40-404000000000000-4400000000000000000000000000000000000000000
χ604-4-44-44-44-4-4444-40-4040000000000004-400000000000000000000000000000000000000000
χ614-4-44-44-4-4000044040-4000000004-4000000-440000000000000000000000000000000000000
χ624-4-44-44-4-4000044040-400000000-440000004-40000000000000000000000000000000000000
χ638888-8-80000000080-800000000000000000000000000000000000000000000000000000000
χ6488-8-800004-44-40000004-40000000000004-4000000000000000000000000000000000000000
χ6588-8-800004-44-4000000-44000000000000-44000000000000000000000000000000000000000
χ6688-8-80000-44-440000004-4000000000000-44000000000000000000000000000000000000000
χ6788-8-80000-44-44000000-440000000000004-4000000000000000000000000000000000000000
χ688-88-800004-4-44000000004i−4i004i−4i00000000000000000000000000000000000000000000000
χ698-88-800004-4-4400000000−4i4i00−4i4i00000000000000000000000000000000000000000000000
χ708-88-80000-444-4000000004i−4i00−4i4i00000000000000000000000000000000000000000000000
χ718-88-80000-444-400000000−4i4i004i−4i00000000000000000000000000000000000000000000000
χ728-8-888-800000000000000000000000000000000000000000000000000002i2−2i2−2i22i200000000000
χ738-8-888-80000000000000000000000000000000000000000000000000000−2i22i22i2−2i200000000000

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