Finite Group Databasebeta

← Group #72337580

Character table — Group #72337580

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1122244444488161616161616161616161616161616323232323232323232323232323232323232323232646464646464646464128128128128
order12222222222442222222222244444444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-1-1iiii−i−i−i−iii−i−i
χ41111111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-1-1−i−i−i−iiiii−i−iii
χ511111111111111111111-1-111-1-1111-1-1-1-11111-1-1-1-111-1-1-1-111-111-1-111-1-11-11-1
χ611111111111111111111-1-111-1-1111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-111-1-111-11-11
χ711111111111111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1111111-1-1-1-1-1-11ii−i−i−i−iiii−i−ii
χ811111111111111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1111111-1-1-1-1-1-11−i−iiiii−i−i−iii−i
χ91111111111111111-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-111111111111-1-1-1-1
χ101111111111111111-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-11111
χ111111111111111111-1-1-1-111-1-111-1-11-1-1-1-111111111-1-111-1-1-1-1-1iiii−i−i−i−i−i−iii
χ121111111111111111-1-1-1-111-1-111-1-11-1-1-1-111111111-1-111-1-1-1-1-1−i−i−i−iiiiiii−i−i
χ131111111111111111-1-1-1-1-1-111-1-111111-1-1-1-1-1-11111-1-1-1-11111-111-1-111-1-1-11-11
χ141111111111111111-1-1-1-1-1-111-1-111111-1-1-1-1-1-11111-1-1-1-11111-1-1-111-1-1111-11-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-11ii−i−i−i−iii−iii−i
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-11−i−iiiii−i−ii−i−ii
χ1722222222222222-2-2000022222222-200220000000000-2-200-2-2-2000000000000
χ1822222222222222-2-2000022-2-222-2-2-200-2-20000000000-2-200222000000000000
χ1922222222222222-2-20000-2-222-2-222-200-2-200000000002200-2-22000000000000
χ2022222222222222-2-20000-2-2-2-2-2-2-2-2-200220000000000220022-2000000000000
χ2122222222222-2-2-2222222002-2002-2-2000022-2-20000-2-200002-20000000000000
χ2222222222222-2-2-222222200-2200-22-20000-2-2220000-2-20000-220000000000000
χ2322222222222-2-2-222-2-2-2-2002-2002-2-20000-2-22200002200002-20000000000000
χ2422222222222-2-2-222-2-2-2-200-2200-22-2000022-2-20000220000-220000000000000
χ2522222222222-2-2-2-2-20000002-2002-222200000022-2-20000-2-2-220000000000000
χ2622222222222-2-2-2-2-20000002-2002-22-2-2000000-2-222000022-220000000000000
χ2722222222222-2-2-2-2-2000000-2200-22222000000-2-2220000-2-22-20000000000000
χ2822222222222-2-2-2-2-2000000-2200-222-2-200000022-2-20000222-20000000000000
χ29444444-4-44-4-40000000000004000-40000000000000000000000002-2002-20000
χ30444444-4-44-4-40000000000004000-4000000000000000000000000-2200-220000
χ31444444-4-44-4-4000000000000-400040000000000000000000000002i−2i00−2i2i0000
χ32444444-4-44-4-4000000000000-40004000000000000000000000000−2i2i002i−2i0000
χ3344444-44-4-44-4000000000004000-4000000000000000000000002-2002-2000000
χ3444444-44-4-44-4000000000004000-400000000000000000000000-2200-22000000
χ3544444-44-4-44-400000000000-40004000000000000000000000002i−2i00−2i2i000000
χ3644444-44-4-44-400000000000-4000400000000000000000000000−2i2i002i−2i000000
χ3744444-4-44-4-4444-40000004-4004-4000000000000000000000000000000000000
χ3844444-4-44-4-4444-4000000-4400-44000000000000000000000000000000000000
χ3944444-4-44-4-44-4-44000000000000000000000000000004-400000000000000000
χ4044444-4-44-4-44-4-4400000000000000000000000000000-4400000000000000000
χ4144-4-4400-40044-400022-2-204000-40002-200000000002-2002-2000000000000000
χ4244-4-4400-40044-400022-2-20-40004000-2200000000002-200-22000000000000000
χ4344-4-4400-40044-4000-2-22204000-4000-220000000000-2200-22000000000000000
χ4444-4-4400-40044-4000-2-2220-400040002-20000000000-22002-2000000000000000
χ4544-4-4400-4004-4400022-2-24000-400002-20000000000-2200-22000000000000000
χ4644-4-4400-4004-4400022-2-2-400040000-220000000000-22002-2000000000000000
χ4744-4-4400-4004-44000-2-2224000-40000-2200000000002-2002-2000000000000000
χ4844-4-4400-4004-44000-2-222-4000400002-200000000002-200-22000000000000000
χ49888-8-80800-8000000000000000000000000000004i−4i000000000000000000000
χ50888-8-80800-800000000000000000000000000000−4i4i000000000000000000000
χ51888-8-80-8008000000000000000000000004-4000000000000000000000000000
χ52888-8-80-800800000000000000000000000-44000000000000000000000000000
χ5388-88-8800-800000000000000000000000000004i−4i00000000000000000000000
χ5488-88-8800-80000000000000000000000000000−4i4i00000000000000000000000
χ5588-88-8-8008000000000000000000000000004-40000000000000000000000000
χ5688-88-8-800800000000000000000000000000-440000000000000000000000000
χ5788-8-8800800-8000000000000000000004-400000000000000000000000000000
χ5888-8-8800800-800000000000000000000-4400000000000000000000000000000
χ5916-160000000000004-44-44-4000000000000000000000000000000000000000000
χ6016-160000000000004-4-44-44000000000000000000000000000000000000000000
χ6116-16000000000000-444-4-44000000000000000000000000000000000000000000
χ6216-16000000000000-44-444-4000000000000000000000000000000000000000000

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