Finite Group Databasebeta

← Group #72237970

Character table — Group #72237970

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11222444444444444888888888161616161616161616161616161616163232323232323232323232326464646464646464646464646464646464646464
order12222222222222222222224444222244444444444422444444444444448888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii
χ71111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111iiii−i−i−i−i−i−i−i−iiiii
χ81111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111−i−i−i−iiiiiiiii−i−i−i−i
χ9111111111111111111-1-1-1-1111111-1-1111111-1-1-1-111-11-1111-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ10111111111111111111-1-1-1-1111111-1-1111111-1-1-1-111-11-1111-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ11111111111111111111-1-1-1-1111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111
χ12111111111111111111-1-1-1-1111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii
χ14111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i
χ15111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-11-11-1-1-1-1-1111111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ16111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-11-11-1-1-1-1-1111111-1-1−i−iiiii−i−iii−i−i−i−iii
χ1722222222222222222222222222-2-222-2-222-2-22222-2-2-20-2000-2-2000000000000000000000000
χ182222222222222222222222-2-2-2-2-2-222-2-2-2-222-2-2-2-222202000-2-2000000000000000000000000
χ19222222222222222222-2-2-2-22222-2-2-2-2-2-222-2-2-2-2-2-2-2-220200022000000000000000000000000
χ20222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-20-200022000000000000000000000000
χ212222222222-2-2-2-2-2-22-2000022222-2002-2-2-22-200002-20000000000000000002-2002-200000000
χ222222222222-2-2-2-2-2-22-2000022222-2002-2-2-22-200002-2000000000000000000-2200-2200000000
χ232222222222-2-2-2-2-2-22-200002222-2200-22-2-2-220000-2200000000000000002-2002-20000000000
χ242222222222-2-2-2-2-2-22-200002222-2200-22-2-2-220000-220000000000000000-2200-220000000000
χ252222222222-2-2-2-2-2-22-20000-2-2-2-22-2002-222-220000-220000000000000000002i−2i00−2i2i00000000
χ262222222222-2-2-2-2-2-22-20000-2-2-2-22-2002-222-220000-22000000000000000000−2i2i002i−2i00000000
χ272222222222-2-2-2-2-2-22-20000-2-2-2-2-2200-22222-200002-200000000000000002i−2i00−2i2i0000000000
χ282222222222-2-2-2-2-2-22-20000-2-2-2-2-2200-22222-200002-20000000000000000−2i2i002i−2i0000000000
χ29222222-2-2-2-222-2-2-2-222000022-2-22200-2-22-2220000-2-2000000000000000000000000002i−2i002i−2i
χ30222222-2-2-2-222-2-2-2-222000022-2-22200-2-22-2220000-2-200000000000000000000000000−2i2i00−2i2i
χ31222222-2-2-2-222-2-2-2-222000022-2-2-2-200222-2-2-20000220000000000000000000000002-2002-200
χ32222222-2-2-2-222-2-2-2-222000022-2-2-2-200222-2-2-2000022000000000000000000000000-2200-2200
χ33222222-2-2-2-222-2-2-2-2220000-2-2222200-2-2-22-2-2000022000000000000000000000000002-200-22
χ34222222-2-2-2-222-2-2-2-2220000-2-2222200-2-2-22-2-200002200000000000000000000000000-22002-2
χ35222222-2-2-2-222-2-2-2-2220000-2-222-2-20022-22220000-2-20000000000000000000000002i−2i00−2i2i00
χ36222222-2-2-2-222-2-2-2-2220000-2-222-2-20022-22220000-2-2000000000000000000000000−2i2i002i−2i00
χ37222222-2-2-2-2-2-222222-2000022-2-22-200-22-222-20000-220202-2-20022-2-200000000000000000000
χ38222222-2-2-2-2-2-222222-2000022-2-22-200-22-222-20000-220-20-22200-2-22200000000000000000000
χ39222222-2-2-2-2-2-222222-2000022-2-2-22002-2-22-2200002-20000000000002-22-20000000000000000
χ40222222-2-2-2-2-2-222222-2000022-2-2-22002-2-22-2200002-2000000000000-22-220000000000000000
χ41222222-2-2-2-2-2-222222-20000-2-2222-200-222-2-2200002-20202-2-200-2-22200000000000000000000
χ42222222-2-2-2-2-2-222222-20000-2-2222-200-222-2-2200002-20-20-2220022-2-200000000000000000000
χ43222222-2-2-2-2-2-222222-20000-2-222-22002-22-22-20000-220000000000002-2-220000000000000000
χ44222222-2-2-2-2-2-222222-20000-2-222-22002-22-22-20000-22000000000000-222-20000000000000000
χ4544444-444-4-44444-4-4-4-400000000000000000000000040-400000000000000000000000000000
χ4644444-444-4-44444-4-4-4-4000000000000000000000000-40400000000000000000000000000000
χ4744444-444-4-4-4-4-4-444-440000000000000000000000000000004-4000000000000000000000000
χ4844444-444-4-4-4-4-4-444-44000000000000000000000000000000-44000000000000000000000000
χ4944444-4-4-44444-4-444-4-44444000000-4-400000000000000000000000000000000000000000000
χ5044444-4-4-44444-4-444-4-4-4-4-4-40000004400000000000000000000000000000000000000000000
χ5144444-4-4-444-4-444-4-4-4400000000000000000044-4-40000000000000000000000000000000000
χ5244444-4-4-444-4-444-4-4-44000000000000000000-4-4440000000000000000000000000000000000
χ53444-4-444-44-4000000-4000004i−4i4i−4i0000000000000000020-22-2002i−2i2i−2i00000000000000000000
χ54444-4-444-44-4000000-4000004i−4i4i−4i00000000000000000-202-2200−2i2i−2i2i00000000000000000000
χ55444-4-444-44-4000000-400000−4i4i−4i4i0000000000000000020-22-200−2i2i−2i2i00000000000000000000
χ56444-4-444-44-4000000-400000−4i4i−4i4i00000000000000000-202-22002i−2i2i−2i00000000000000000000
χ57444-4-44-44-44000000-4000004i−4i−4i4i0000000000000000020-2-22002i−2i−2i2i00000000000000000000
χ58444-4-44-44-44000000-4000004i−4i−4i4i00000000000000000-2022-200−2i2i2i−2i00000000000000000000
χ59444-4-44-44-44000000-400000−4i4i4i−4i0000000000000000020-2-2200−2i2i2i−2i00000000000000000000
χ60444-4-44-44-44000000-400000−4i4i4i−4i00000000000000000-2022-2002i−2i−2i2i00000000000000000000
χ61888-8-8-88-8-880000008000000000000000000000000000000000000000000000000000000000
χ62888-8-8-8-888-80000008000000000000000000000000000000000000000000000000000000000
χ6388-88-80000000008-8000000000000000000004-44-40000000000000000000000000000000000
χ6488-88-80000000008-800000000000000000000-44-440000000000000000000000000000000000
χ6588-88-8000000000-88000000000000000000004-4-440000000000000000000000000000000000
χ6688-88-8000000000-8800000000000000000000-444-40000000000000000000000000000000000
χ6788-8-8800000008-8000044-4-40000004-400000000000000000000000000000000000000000000
χ6888-8-8800000008-80000-4-444000000-4400000000000000000000000000000000000000000000
χ6988-8-880000000-88000044-4-4000000-4400000000000000000000000000000000000000000000
χ7088-8-880000000-880000-4-4440000004-400000000000000000000000000000000000000000000
χ7116-16000000008-8000000008-80000000000000000000000000000000000000000000000000000
χ7216-16000000008-800000000-880000000000000000000000000000000000000000000000000000
χ7316-1600000000-880000008-8000000000000000000000000000000000000000000000000000000
χ7416-1600000000-88000000-88000000000000000000000000000000000000000000000000000000

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