Finite Group Databasebeta

← Group #72337597

Character table — Group #72337597

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size112224444448888881616161616161616161616161616161616323232323232323232323264646464646464646464646464128128128128
order12222222222222222222222444444444442444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-111-1-111-111-1-11111-1-1-1-111-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-111-1-111-111-1-1-1-1-1-11111-1-111
χ5111111111111111111111-1-11-111111111-1-1-11111111-1-1-1-1-1-1-1ii−i−iii−i−ii−ii−i
χ6111111111111111111111-1-11-111111111-1-1-11111111-1-1-1-1-1-1-1−i−iii−i−iii−ii−ii
χ7111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-11-1-111ii−i−i−i−iiii−i−ii
χ8111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-11-1-111−i−iiiii−i−i−iii−i
χ91111111111111-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-111111-1-1-1-111111111-1-1-1-1
χ101111111111111-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ111111111111111-1-1-1-111-1-11111-1-1-1-111111-1-1111-1-1-1-111-1-1-1111111-1-1-1-1-1-111
χ121111111111111-1-1-1-111-1-11111-1-1-1-111111-1-1111-1-1-1-111-1-1-111-1-1-1-1111111-1-1
χ131111111111111-1-1-1-111-1-1-1-11-11111-1-1-1-1-1-1-11-1-1-1-111-1-1-11111ii−i−iii−i−i−ii−ii
χ141111111111111-1-1-1-111-1-1-1-11-11111-1-1-1-1-1-1-11-1-1-1-111-1-1-11111−i−iii−i−iiii−ii−i
χ151111111111111-1-1-1-111-1-1-1-11-1-1-1-1-11111-111111-1-1-1-1-1-1111-1-1ii−i−i−i−iii−iii−i
χ161111111111111-1-1-1-111-1-1-1-11-1-1-1-1-11111-111111-1-1-1-1-1-1111-1-1−i−iiiii−i−ii−i−ii
χ1722222222222220000-2-200222222220000222-20000-2-2-2-2-20000000000000000
χ1822222222222220000-2-2002222-2-2-2-200002-2-2-2000022-2-220000000000000000
χ1922222222222220000-2-200-2-22-222220000-2-2-2-20000-2-22220000000000000000
χ2022222222222220000-2-200-2-22-2-2-2-2-20000-222-200002222-20000000000000000
χ2122222222222-2-20000-2-2002-2-2-2000022222002-2-200002-20002-2000000000000
χ2222222222222-2-20000-2-2002-2-2-20000-2-2-2-220022200002-2000-22000000000000
χ2322222222222-2-20000-2-200-22-2200002222-2002-2-20000-22000-22000000000000
χ2422222222222-2-20000-2-200-22-220000-2-2-2-2-2002220000-220002-2000000000000
χ2522222222222-2-2222222222-2-2-200000000200-200-2-200-2202-200000000000000
χ2622222222222-2-222222222-22-2200000000-200-200-2-2002-20-2200000000000000
χ2722222222222-2-2-2-2-2-222-2-22-2-2-200000000200-2002200-220-2200000000000000
χ2822222222222-2-2-2-2-2-222-2-2-22-2200000000-200-20022002-202-200000000000000
χ29444444-4-44-4-40000000000040-400000000000000000000000002-22-200000000
χ30444444-4-44-4-40000000000040-40000000000000000000000000-22-2200000000
χ31444444-4-44-4-400000000000-40400000000000000000000000002i−2i−2i2i00000000
χ32444444-4-44-4-400000000000-4040000000000000000000000000−2i2i2i−2i00000000
χ3344444-44-4-44-40000000000400000000000-4000000000000000000002i−2i2i−2i0000
χ3444444-44-4-44-40000000000400000000000-400000000000000000000−2i2i−2i2i0000
χ3544444-44-4-44-40000000000-4000000000004000000000000000000002-2-220000
χ3644444-44-4-44-40000000000-400000000000400000000000000000000-222-20000
χ3744444-4-44-4-44440000000000-4044-4-4000000000000000000000000000000000
χ3844444-4-44-4-44440000000000-40-4-444000000000000000000000000000000000
χ3944444-4-44-4-44-4-400000000004000000000000000004-40000000000000000000
χ4044444-4-44-4-44-4-40000000000400000000000000000-440000000000000000000
χ4144-4-4400-40044-4222200-2-20000004-422-2-200002-22-2000000000000000000000
χ4244-4-4400-40044-4222200-2-2000000-44-2-2220000-222-2000000000000000000000
χ4344-4-4400-40044-4-2-2-2-200220000004-4-2-2220000-22-22000000000000000000000
χ4444-4-4400-40044-4-2-2-2-20022000000-4422-2-200002-2-22000000000000000000000
χ4544-4-4400-4004-44222200-2-200004-40022-2-20000-22-22000000000000000000000
χ4644-4-4400-4004-44222200-2-20000-4400-2-22200002-2-22000000000000000000000
χ4744-4-4400-4004-44-2-2-2-2002200004-400-2-22200002-22-2000000000000000000000
χ4844-4-4400-4004-44-2-2-2-200220000-440022-2-20000-222-2000000000000000000000
χ49888-8-80800-800000000000000000004i−4i4i−4i00000000000000000000000000000
χ50888-8-80800-80000000000000000000−4i4i−4i4i00000000000000000000000000000
χ51888-8-80-800800044-4-4004-400000000000000000000000000000000000000000
χ52888-8-80-8008000-4-44400-4400000000000000000000000000000000000000000
χ5388-88-8800-8000000000000000000004i−4i−4i4i00000000000000000000000000000
χ5488-88-8800-800000000000000000000−4i4i4i−4i00000000000000000000000000000
χ5588-88-8-8008000044-4-400-4400000000000000000000000000000000000000000
χ5688-88-8-80080000-4-444004-400000000000000000000000000000000000000000
χ5788-8-8800800-8000000000000000000000004-400000000000000000000000000
χ5888-8-8800800-800000000000000000000000-4400000000000000000000000000
χ5916-1600000000000008-84-40000000000000000000000000000000000000000000
χ6016-160000000000000-884-40000000000000000000000000000000000000000000
χ6116-16000000000008-800-440000000000000000000000000000000000000000000
χ6216-1600000000000-8800-440000000000000000000000000000000000000000000

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