Finite Group Databasebeta

← Group #72337569

Character table — Group #72337569

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size112224444448888881616161616161616161616161616161616323232323232323232323264646464646464646464646464128128128128
order12222222222222222222222222244444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-111111111-1-111-1-1-1-1111-1-1-1-111111111-1-1-1-1
χ411111111111111111111111-1-1-1-111111111-1-111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-1-1-11111111-1-1-1-11-1-1-1-111-1-111-111-1-11111-1-1-1-111-1-1
χ61111111111111111111-1-1-1-11111111-1-1-1-11-1-1-1-111-1-111-111-1-1-1-1-1-11111-1-111
χ71111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-11111-1-1-1111111-1-1-1-1-1-111
χ81111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-11111-1-1-111-1-1-1-1111111-1-1
χ91111111111111-1-1-1-11111-1-111111-1-111-1-1111111111-1-1-1-1-1-1-1ii−i−iii−i−ii−ii−i
χ101111111111111-1-1-1-11111-1-111111-1-111-1-1111111111-1-1-1-1-1-1-1−i−iii−i−iii−ii−ii
χ111111111111111-1-1-1-11111-1-1-1-1-1-11-1-111-1-11-1-111-1-1-1-1-1-1-11111ii−i−iii−i−i−ii−ii
χ121111111111111-1-1-1-11111-1-1-1-1-1-11-1-111-1-11-1-111-1-1-1-1-1-1-11111−i−iii−i−iiii−ii−i
χ131111111111111-1-1-1-111-1-11111111-1-1-1-1111-1-1-1-111-1-1-1-11-1-111ii−i−i−i−iiii−i−ii
χ141111111111111-1-1-1-111-1-11111111-1-1-1-1111-1-1-1-111-1-1-1-11-1-111−i−iiiii−i−i−iii−i
χ151111111111111-1-1-1-111-1-111-1-1-1-11-1-1-1-111111-1-1-1-111-1-1111-1-1ii−i−i−i−iii−iii−i
χ161111111111111-1-1-1-111-1-111-1-1-1-11-1-1-1-111111-1-1-1-111-1-1111-1-1−i−iiiii−i−ii−i−ii
χ1722222222222222222-2-2222200002222222-200-2-20000-2-2-20000000000000000
χ1822222222222222222-2-2-2-2-2-20000222-2-2-2-2-200220000-2-220000000000000000
χ192222222222222-2-2-2-2-2-222-2-200002-2-222-2-2-200-2-200002220000000000000000
χ202222222222222-2-2-2-2-2-2-2-22200002-2-2-2-222-20022000022-20000000000000000
χ2122222222222-2-222-2-22200002222-22-20000-20000-2-2002-202-200000000000000
χ2222222222222-2-222-2-2220000-2-2-2-2-22-20000-2000022002-20-2200000000000000
χ2322222222222-2-222-2-2-2-200000000-22-200002220000-2-2-220002-2000000000000
χ2422222222222-2-222-2-2-2-200000000-22-200002-2-2000022-22000-22000000000000
χ2522222222222-2-2-2-2222200002222-2-220000-20000-2-200-220-2200000000000000
χ2622222222222-2-2-2-222220000-2-2-2-2-2-220000-200002200-2202-200000000000000
χ2722222222222-2-2-2-222-2-200000000-2-2200002220000-2-22-2000-22000000000000
χ2822222222222-2-2-2-222-2-200000000-2-2200002-2-20000222-20002-2000000000000
χ294444444-4-4-4-4000044000000000000-40000000000000000000000002-22-20000
χ304444444-4-4-4-4000044000000000000-4000000000000000000000000-22-220000
χ314444444-4-4-4-40000-4-400000000000040000000000000000000000002i−2i−2i2i0000
χ324444444-4-4-4-40000-4-40000000000004000000000000000000000000−2i2i2i−2i0000
χ3344444-4-444-4-400440000000000000-40000000000000000000002-22-200000000
χ3444444-4-444-4-400440000000000000-4000000000000000000000-22-2200000000
χ3544444-4-444-4-400-4-4000000000000040000000000000000000002i−2i−2i2i00000000
χ3644444-4-444-4-400-4-400000000000004000000000000000000000−2i2i2i−2i00000000
χ3744444-4-4-4-444440000004-4000000-4004-4000000000000000000000000000000
χ3844444-4-4-4-44444000000-44000000-400-44000000000000000000000000000000
χ3944444-4-4-4-444-4-40000000000000040000000004-400000000000000000000000
χ4044444-4-4-4-444-4-4000000000000004000000000-4400000000000000000000000
χ4144-4-440000-444-4000000040022-2-20000-40002-2002-22-20000000000000000000
χ4244-4-440000-444-40000000400-2-2220000-4000-2200-22-220000000000000000000
χ4344-4-440000-444-40000000-40022-2-200004000-22002-2-220000000000000000000
χ4444-4-440000-444-40000000-400-2-222000040002-200-222-20000000000000000000
χ4544-4-440000-44-44000000400022-2-2000-400002-200-22-220000000000000000000
χ4644-4-440000-44-440000004000-2-222000-40000-22002-22-20000000000000000000
χ4744-4-440000-44-44000000-400022-2-200040000-2200-222-20000000000000000000
χ4844-4-440000-44-44000000-4000-2-222000400002-2002-2-220000000000000000000
χ49888-8-8008-80000000000004-40000000004-40000000000000000000000000000
χ50888-8-8008-8000000000000-44000000000-440000000000000000000000000000
χ51888-8-800-8800008-800000000000000000000000000000000000000000000000
χ52888-8-800-880000-8800000000000000000000000000000000000000000000000
χ5388-88-88-8000000000000004-4000000000-440000000000000000000000000000
χ5488-88-88-800000000000000-440000000004-40000000000000000000000000000
χ5588-88-8-88000000008-8000000000000000000000000000000000000000000000
χ5688-88-8-8800000000-88000000000000000000000000000000000000000000000
χ5788-8-8800008-8000000000044000000000-4-40000000000000000000000000000
χ5888-8-8800008-80000000000-4-4000000000440000000000000000000000000000
χ5916-160000000000000004-400004-44-400000000000000000000000000000000000
χ6016-160000000000000004-40000-44-4400000000000000000000000000000000000
χ6116-16000000000000000-4400004-4-4400000000000000000000000000000000000
χ6216-16000000000000000-440000-444-400000000000000000000000000000000000

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