Finite Group Databasebeta

← Group #72337667

Character table — Group #72337667

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111122444444888888881616161616161616161616161616323232323232323232323232323264646464
order1222222244442222444422222244444444444444888888884444
χ11111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1
χ41111111111111111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-1
χ611111111111111111111-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1
χ91111111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1ii−i−iii−i−ii−ii−i
χ101111111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1−i−iii−i−iii−ii−ii
χ111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111ii−i−iii−i−i−ii−ii
χ121111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111−i−iii−i−iiii−ii−i
χ131111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111ii−i−i−i−iiii−i−ii
χ141111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111−i−iiiii−i−i−iii−i
χ151111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1ii−i−i−i−iii−iii−i
χ161111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1−i−iiiii−i−ii−i−ii
χ17222222222222-2-2-2-222222-200-2-200002-2002-20000000000000000
χ18222222222222-2-2-2-22222-2200-2-20000-2200-220000000000000000
χ19222222222222-2-2-2-2-2-2-2-22-2002200002-200-220000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2200220000-22002-20000000000000000
χ2122222222-2-2-2-222-2-22-22-200002-222-2-2000000002-2000000000000
χ2222222222-2-2-2-222-2-22-22-200002-2-2-22200000000-22000000000000
χ2322222222-2-2-2-222-2-2-22-220000-2222-2-200000000-22000000000000
χ2422222222-2-2-2-222-2-2-22-220000-22-2-222000000002-2000000000000
χ2522222222-2-2-2-2-2-2222-22-2002-2-220000002-2002-200000000000000
χ2622222222-2-2-2-2-2-2222-22-200-22-22000000-2200-2200000000000000
χ2722222222-2-2-2-2-2-222-22-22002-22-20000002-200-2200000000000000
χ2822222222-2-2-2-2-2-222-22-2200-222-2000000-22002-200000000000000
χ29444444-4-444-4-40000000004000000000-400000000000000000000
χ30444444-4-444-4-4000000000-4000000000400000000000000000000
χ31444444-4-4-4-444000000004000000000-4000000000000000000000
χ32444444-4-4-4-44400000000-40000000004000000000000000000000
χ334444-4-44-40000004-400000004000000000-4000000000000000000
χ344444-4-44-40000004-40000000-40000000004000000000000000000
χ354444-4-44-4000000-440000004000000000-40000000000000000000
χ364444-4-44-4000000-44000000-400000000040000000000000000000
χ374444-4-4-4400004-4000000000000004-40000000000000000000000
χ384444-4-4-4400004-400000000000000-440000000000000000000000
χ394444-4-4-440000-440000000000004-4000000000000000000000000
χ404444-4-4-440000-44000000000000-44000000000000000000000000
χ4188-8-8000000000000040-40000000000000000000000002i−2i2i−2i0000
χ4288-8-8000000000000040-4000000000000000000000000−2i2i−2i2i0000
χ4388-8-80000000000000-4040000000000000000000000002-2-220000
χ4488-8-80000000000000-404000000000000000000000000-222-20000
χ458-88-800000000000040-40000000000000000000002i−2i2i−2i00000000
χ468-88-800000000000040-4000000000000000000000−2i2i−2i2i00000000
χ478-88-8000000000000-4040000000000000000000002-2-2200000000
χ488-88-8000000000000-404000000000000000000000-222-200000000
χ498-8-888-800008-80000000000000000000000000000000000000000
χ508-8-888-80000-880000000000000000000000000000000000000000
χ518-8-88-88008-8000000000000000000000000000000000000000000
χ528-8-88-8800-88000000000000000000000000000000000000000000

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