Finite Group Databasebeta

← Group #72337596

Character table — Group #72337596

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size112224444448888881616161616161616161616161616161616323232323232323232323264646464646464646464646464128128128128
order12222222222222222222222224444444442444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1111-11111-1111-1-11111-1-1-1-1-1-1-1ii−i−iii−i−iii−i−i
χ411111111111111111111111-1-1111-11111-1111-1-11111-1-1-1-1-1-1-1−i−iii−i−iii−i−iii
χ5111111111111111111111-1-1111-1-11-1-1-1-11-1-11-1-111-1-11111-1-1-11111-1-1-1-11-11-1
χ6111111111111111111111-1-1111-1-11-1-1-1-11-1-11-1-111-1-11111-1-1-1-1-1-1-11111-11-11
χ7111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111ii−i−i−i−iiii−i−ii
χ8111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111−i−iiiii−i−i−iii−i
χ91111111111111-1-1-1-111-1-111111111-1-1-1-11-1-1111-1-11111-1-11-1-111111111-1-1-1-1
χ101111111111111-1-1-1-111-1-111111111-1-1-1-11-1-1111-1-11111-1-11-1-1-1-1-1-1-1-1-1-11111
χ111111111111111-1-1-1-111-1-111-1-1111-1-1-1-1-1-1-1-11-1-1-1-111-1-111-111ii−i−iii−i−i−i−iii
χ121111111111111-1-1-1-111-1-111-1-1111-1-1-1-1-1-1-1-11-1-1-1-111-1-111-111−i−iii−i−iiiii−i−i
χ131111111111111-1-1-1-111-1-1-1-1111-1-1111111111-1-1-1-1-1-111-1-1-1111111-1-1-1-1-11-11
χ141111111111111-1-1-1-111-1-1-1-1111-1-1111111111-1-1-1-1-1-111-1-1-111-1-1-1-111111-11-1
χ151111111111111-1-1-1-111-1-1-1-1-1-11-1-1-11111-111111-1-1-1-1-1-1111-1-1ii−i−i−i−iii−iii−i
χ161111111111111-1-1-1-111-1-1-1-1-1-11-1-1-11111-111111-1-1-1-1-1-1111-1-1−i−iiiii−i−ii−i−ii
χ1722222222222220000-2-200222222220000200-22200-2-2-2-200-200000000000000
χ1822222222222220000-2-20022-2-2222-20000-200-2-2-200-2-22200200000000000000
χ1922222222222220000-2-200-2-2222-2-220000200-2-2-20022-2-200200000000000000
χ2022222222222220000-2-200-2-2-2-22-2-2-20000-200-22200222200-200000000000000
χ2122222222222-2-20000-2-200002-2-200-222222-2-220000002-20002-2000000000000
χ2222222222222-2-20000-2-200002-2-200-2-2-2-2-222220000002-2000-22000000000000
χ2322222222222-2-20000-2-20000-22-20022222-2-2-22000000-22000-22000000000000
χ2422222222222-2-20000-2-20000-22-2002-2-2-2-2-2222000000-220002-2000000000000
χ2522222222222-2-222222222002-2-200-20000200-200-2-200-222-2000000000000000
χ2622222222222-2-22222222200-22-20020000-200-200-2-2002-2-22000000000000000
χ2722222222222-2-2-2-2-2-222-2-2002-2-200-20000200-2002200-22-22000000000000000
χ2822222222222-2-2-2-2-2-222-2-200-22-20020000-200-20022002-22-2000000000000000
χ294444444-4-4-4-400000000000004000-40000000000000000000002-22-200000000
χ304444444-4-4-4-400000000000004000-4000000000000000000000-22-2200000000
χ314444444-4-4-4-40000000000000-400040000000000000000000002i−2i−2i2i00000000
χ324444444-4-4-4-40000000000000-40004000000000000000000000−2i2i2i−2i00000000
χ3344444-4-444-4-40000000000004000000000-4000000000000000000002i−2i2i−2i0000
χ3444444-4-444-4-40000000000004000000000-400000000000000000000−2i2i−2i2i0000
χ3544444-4-444-4-4000000000000-40000000004000000000000000000002-2-220000
χ3644444-4-444-4-4000000000000-4000000000400000000000000000000-222-20000
χ3744444-4-4-4-44444000000004-400-44-40000000000000000000000000000000000
χ3844444-4-4-4-4444400000000-4400-4-440000000000000000000000000000000000
χ3944444-4-4-4-444-4-400000000000040000000000000004-40000000000000000000
χ4044444-4-4-4-444-4-40000000000004000000000000000-440000000000000000000
χ4144-4-440000-444-4222200-2-2040000-4022-2-202-20002-2000000000000000000000
χ4244-4-440000-444-4222200-2-20-4000040-2-2220-220002-2000000000000000000000
χ4344-4-440000-444-4-2-2-2-20022040000-40-2-2220-22000-22000000000000000000000
χ4444-4-440000-444-4-2-2-2-200220-400004022-2-202-2000-22000000000000000000000
χ4544-4-440000-44-44222200-2-240000-400-2-22202-2000-22000000000000000000000
χ4644-4-440000-44-44222200-2-2-4000040022-2-20-22000-22000000000000000000000
χ4744-4-440000-44-44-2-2-2-2002240000-40022-2-20-220002-2000000000000000000000
χ4844-4-440000-44-44-2-2-2-20022-40000400-2-22202-20002-2000000000000000000000
χ49888-8-8008-8000000000000000000004-44-400000000000000000000000000000
χ50888-8-8008-800000000000000000000-44-4400000000000000000000000000000
χ51888-8-800-88000044-4-4004-400000000000000000000000000000000000000000
χ52888-8-800-880000-4-44400-4400000000000000000000000000000000000000000
χ5388-88-88-800000000000000000000004-4-4400000000000000000000000000000
χ5488-88-88-80000000000000000000000-444-400000000000000000000000000000
χ5588-88-8-8800000044-4-400-4400000000000000000000000000000000000000000
χ5688-88-8-88000000-4-444004-400000000000000000000000000000000000000000
χ5788-8-8800008-8000000000000000000000000004-400000000000000000000000
χ5888-8-8800008-800000000000000000000000000-4400000000000000000000000
χ5916-1600000000000008-84-40000000000000000000000000000000000000000000
χ6016-160000000000000-884-40000000000000000000000000000000000000000000
χ6116-16000000000008-800-440000000000000000000000000000000000000000000
χ6216-1600000000000-8800-440000000000000000000000000000000000000000000

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