Finite Group Databasebeta

← Group #72281888

Character table — Group #72281888

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73
size111122444444444444888888888888888888888881616161616161616161616161616161616161616163232323232323232646464
order1222222222444444442222224444444444444444422244444444444444888844888888448
χ11111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-111111-11-1-11-1-11-1-111-1-1-111111111-1-1-1-11-1-1
χ411111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-111111-11-1-11-1-11-1-111-1-1-1-1-1-1-1-1-1-1-11111-111
χ5111111111111111111-1-111-1-1-1-1-1-111111111-1-1111-1-1-1111-1-1-1111-1-1-1-1-11111-1-1111111-1-1-1
χ6111111111111111111-1-111-1-1-1-1-1-111111111-1-1111-1-1-1111-1-1-1111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111
χ7111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111-1-111-1-1-1111-1-1-1-11111111-1-111-1-1-1-1-111
χ8111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111-1-111-1-1-1111-1-1-1-1111-1-1-1-111-1-111111-1-1
χ9111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-11-1-11-1-11-11111-11111-1-1-1-111-1-11-11
χ10111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-11-1-11-1-11-11111-1-1-1-1-11111-1-111-11-1
χ11111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-11-1-11-1-11-1-1111-1-111111-1-1-1-1-1-11111-1
χ12111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-11-1-11-1-11-1-1111-1-11-1-1-1-1111111-1-1-1-11
χ13111111111111-1-1-1-111-1-111-1-11111-1-1-1-111-1-111111-111-11-11-11-11-1-1-1-1-11111111-1-111-1-1-11-1
χ14111111111111-1-1-1-111-1-111-1-11111-1-1-1-111-1-111111-111-11-11-11-11-1-1-1-1-11-1-1-1-1-1-111-1-1111-11
χ15111111111111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1111-11-1-1-1111-1-1-11-1-111-1111111-1-1-1-111-1-11
χ16111111111111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1111-11-1-1-1111-1-1-11-1-111-1-1-1-1-1-1-11111-1-111-1
χ172222222222-222222-2200220000002222222200-2-2-2000-2-2-2000-2-2-200000000000000000000
χ182222222222-222222-2200-2-2000000-2-222-2-2-2-200-2-2-2000-222000-22200000000000000000000
χ192222222222-22-2-2-2-2-220022000000-2-2-2-222-2-200-2-2-20002-220002-2200000000000000000000
χ202222222222-22-2-2-2-2-2200-2-200000022-2-2-2-22200-2-2-200022-200022-200000000000000000000
χ212222222-22-22-200002-200220022-2-20000-2-200222-2-20-2-202020-20-2000002000000000000000
χ222222222-22-22-200002-2002200-2-2220000-2-200-2-22-2-2022020-2020-200000-2000000000000000
χ232222222-22-22-200002-200-2-20022-2-200002200-2-22-2-20-220-202020200000-2000000000000000
χ242222222-22-22-200002-200-2-200-2-22200002200222-2-202-20-20-20-202000002000000000000000
χ252222222-22-2-2-20000-2-222222200000000-2-20000-222-2000-200-200202-22-20000000000000000
χ262222222-22-2-2-20000-2-222-2-2-2-200000000220000-222-2000200200-202-2-220000000000000000
χ272222222-22-2-2-20000-2-2-2-222-2-200000000-2-20000-2222000-20020020-22-220000000000000000
χ282222222-22-2-2-20000-2-2-2-2-2-22200000000220000-2222000200-200-20-222-20000000000000000
χ29222222-22-222-222222-2220000222200-2-2000000-22-22-20200-200-200-2-2000000000000000000
χ30222222-22-222-222222-2-2-20000-2-2-2-200-2-2000000-22-2-220200200-20022000000000000000000
χ31222222-22-222-2-2-2-2-22-2220000-2-2-2-20022000000-22-2220-200200200-2-2000000000000000000
χ32222222-22-222-2-2-2-2-22-2-2-2000022220022000000-22-2-2-20-200-20020022000000000000000000
χ33222222-22-22-2-22222-2-2000022000000-2-20000222-2200-2-2000-2220000-22-2000000000000000
χ34222222-22-22-2-22222-2-20000-2-2000000-2-20000-2-22-22002-20002-2200002-22000000000000000
χ35222222-22-22-2-2-2-2-2-2-2-2000022000000220000-2-22-220022000-2-2-20000-222000000000000000
χ36222222-22-22-2-2-2-2-2-2-2-20000-2-2000000220000222-2200-2200022-200002-2-2000000000000000
χ37222222-2-2-2-22200002200002222-2-2-2-200002200-2-2202000-2-22000200-2-20000000000000000
χ38222222-2-2-2-222000022000022-2-222220000-2-200-2-220-2000222000-200-2-20000000000000000
χ39222222-2-2-2-2220000220000-2-222-2-2220000-2-200-2-22020002-2-2000-200220000000000000000
χ40222222-2-2-2-2220000220000-2-2-2-222-2-200002200-2-220-2000-22-2000200220000000000000000
χ41222222-2-2-2-2-220000-222200000000220000-2-2-2-222-2-20-200-2002002-22002000000000000000
χ42222222-2-2-2-2-220000-222200000000-2-20000222222-2-20200200-200-2-2200-2000000000000000
χ43222222-2-2-2-2-220000-22-2-200000000220000-2-22222-220200-200-20022-200-2000000000000000
χ44222222-2-2-2-2-220000-22-2-200000000-2-2000022-2-222-220-200200200-22-2002000000000000000
χ452-2-22-2222-2-20222-2-20-2002-20000002-22-22-22-20000000000000000000000i2i2−i2−i200i2−i2i2−i2i2−i2000
χ462-2-22-2222-2-20222-2-20-2002-20000002-22-22-22-20000000000000000000000−i2−i2i2i200−i2i2−i2i2−i2i2000
χ472-2-22-2222-2-20222-2-20-200-22000000-222-2-22-220000000000000000000000i2i2−i2−i200i2−i2−i2i2−i2i2000
χ482-2-22-2222-2-20222-2-20-200-22000000-222-2-22-220000000000000000000000−i2−i2i2i200−i2i2i2−i2i2−i2000
χ492-2-22-2222-2-202-2-2220-2002-2000000-22-222-2-220000000000000000000000i2i2−i2−i200−i2i2i2−i2−i2i2000
χ502-2-22-2222-2-202-2-2220-2002-2000000-22-222-2-220000000000000000000000−i2−i2i2i200i2−i2−i2i2i2−i2000
χ512-2-22-2222-2-202-2-2220-200-220000002-2-22-222-20000000000000000000000i2i2−i2−i200−i2i2−i2i2i2−i2000
χ522-2-22-2222-2-202-2-2220-200-220000002-2-22-222-20000000000000000000000−i2−i2i2i200i2−i2i2−i2−i2i2000
χ534444-4-40000-40000040000000004-40000000000000000000000000000002-22-22-2000000000
χ544444-4-40000-40000040000000004-4000000000000000000000000000000-22-22-22000000000
χ554444-4-40000-4000004000000000-440000000000000000000000000000002-22-2-22000000000
χ564444-4-40000-4000004000000000-44000000000000000000000000000000-22-222-2000000000
χ574-4-44-444-4-440-4000004004-40000000000-44000000000000000000000000000000000000000
χ584-4-44-444-4-440-400000400-4400000000004-4000000000000000000000000000000000000000
χ594-4-44-44-444-40-444-4-404000000000000-4400000000000000000000000000000000000000000
χ604-4-44-44-444-40-4-4-444040000000000004-400000000000000000000000000000000000000000
χ614-4-44-44-4-4440400000-400000000004-40000-440000000000000000000000000000000000000
χ624-4-44-44-4-4440400000-40000000000-4400004-40000000000000000000000000000000000000
χ638888-8-80000800000-800000000000000000000000000000000000000000000000000000000
χ6488-8-8000000004i−4i4i−4i004-400004i−4i00000000000000000000000000000000000000000000000
χ6588-8-8000000004i−4i4i−4i00-440000−4i4i00000000000000000000000000000000000000000000000
χ6688-8-800000000−4i4i−4i4i004-40000−4i4i00000000000000000000000000000000000000000000000
χ6788-8-800000000−4i4i−4i4i00-4400004i−4i00000000000000000000000000000000000000000000000
χ688-88-8000000004i−4i−4i4i0000004-40000000000004i−4i00000000000000000000000000000000000
χ698-88-8000000004i−4i−4i4i000000-44000000000000−4i4i00000000000000000000000000000000000
χ708-88-800000000−4i4i4i−4i0000004-4000000000000−4i4i00000000000000000000000000000000000
χ718-88-800000000−4i4i4i−4i000000-440000000000004i−4i00000000000000000000000000000000000
χ728-8-888-800000000000000000000000000000000000000000000000000002i2−2i2−2i22i200000000000
χ738-8-888-80000000000000000000000000000000000000000000000000000−2i22i22i2−2i200000000000

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