Finite Group Databasebeta

← Group #72263077

Character table — Group #72263077

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11112222224488888888816161616161616161616161616161616161616161616161632323232323232323264646464
order1222222222222222222222222244444444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ4111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ511111111111111111-1-1-1-11111-111-1-111-1-1-1-1-1-1-1-11111-1-1iiii−i−i−i−ii−ii−i
χ611111111111111111-1-1-1-11111-111-1-111-1-1-1-1-1-1-1-11111-1-1−i−i−i−iiiii−ii−ii
χ711111111111111111-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1iiii−i−i−i−i−ii−ii
χ811111111111111111-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1−i−i−i−iiiiii−ii−i
χ91111111111111-1-1-1-1111111-1-1111-1-1-1-11111-1-1-1-111-1-11-111-1-111-1-111-1-1
χ101111111111111-1-1-1-1111111-1-1111-1-1-1-11111-1-1-1-111-1-11-1-1-111-1-111-1-111
χ111111111111111-1-1-1-11111-1-111111-1-1-1-1-1-1-1-11111-1-1111-111-1-111-1-1-1-111
χ121111111111111-1-1-1-11111-1-111111-1-1-1-1-1-1-1-11111-1-1111-1-1-111-1-11111-1-1
χ131111111111111-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1111111-1-1-11ii−i−i−i−iiii−i−ii
χ141111111111111-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1111111-1-1-11−i−iiiii−i−i−iii−i
χ151111111111111-1-1-1-1-1-1-1-1-1-111-11111-1-11111-1-1-1-1-1-111-11ii−i−i−i−iii−iii−i
χ161111111111111-1-1-1-1-1-1-1-1-1-111-11111-1-11111-1-1-1-1-1-111-11−i−iiiii−i−ii−i−ii
χ172222222222222222222220000-2-2-222-2-2000000000000-2-2000000000000
χ1822222222222222222-2-2-2-200002-2-2-2-2-2-200000000000022000000000000
χ192222222222222-2-2-2-222220000-2-2-2-2-222000000000000-22000000000000
χ202222222222222-2-2-2-2-2-2-2-200002-2-222220000000000002-2000000000000
χ212222222222-2-2-200002-22-2002222-20000000022-2-200-2-2-20000000000000
χ222222222222-2-2-200002-22-200-2-222-200000000-2-2220022-20000000000000
χ232222222222-2-2-200002-22-22200-2-22000022-2-20000-2-20020000000000000
χ242222222222-2-2-200002-22-2-2-200-2-220000-2-2220000220020000000000000
χ252222222222-2-2-20000-22-220022-22-200000000-2-22200-2-220000000000000
χ262222222222-2-2-20000-22-2200-2-2-22-20000000022-2-2002220000000000000
χ272222222222-2-2-20000-22-2222002-220000-2-2220000-2-200-20000000000000
χ282222222222-2-2-20000-22-22-2-2002-22000022-2-200002200-20000000000000
χ29444444-4-4-4-40000000040-400000000000000000000000002i−2i002i−2i000000
χ30444444-4-4-4-40000000040-40000000000000000000000000−2i2i00−2i2i000000
χ31444444-4-4-4-400000000-40400000000000000000000000002-200-22000000
χ32444444-4-4-4-400000000-4040000000000000000000000000-22002-2000000
χ334444-4-444-4-4000000040-400000000000000000000000000002i−2i002i−2i0000
χ344444-4-444-4-4000000040-40000000000000000000000000000−2i2i00−2i2i0000
χ354444-4-444-4-40000000-40400000000000000000000000000002-200-220000
χ364444-4-444-4-40000000-4040000000000000000000000000000-22002-20000
χ374444-4-4-4-44444-444-4-400000000000000000000000000000000000000000
χ384444-4-4-4-44444-4-4-44400000000000000000000000000000000000000000
χ394444-4-4-4-444-4-44000000000000000004-400000000000000000000000000
χ404444-4-4-4-444-4-4400000000000000000-4400000000000000000000000000
χ414-4-440000-444-40004-40000000000000002-22-22-22-2000000000000000000
χ424-4-440000-444-40004-4000000000000000-22-22-22-22000000000000000000
χ434-4-440000-444-4000-440000000000000002-22-2-22-22000000000000000000
χ444-4-440000-444-4000-44000000000000000-22-222-22-2000000000000000000
χ454-4-440000-44-4404-4000000000000000002-2-222-2-22000000000000000000
χ464-4-440000-44-4404-400000000000000000-222-2-222-2000000000000000000
χ474-4-440000-44-440-44000000000000000002-2-22-222-2000000000000000000
χ484-4-440000-44-440-4400000000000000000-222-22-2-22000000000000000000
χ4988-8-8008-8000000000000000000000000000000004-40000000000000000
χ5088-8-8008-800000000000000000000000000000000-440000000000000000
χ5188-8-800-880000000000000004-4000000000000000000000000000000000
χ5288-8-800-88000000000000000-44000000000000000000000000000000000
χ538-88-88-80000000000000000000000000000000000004-400000000000000
χ548-88-88-8000000000000000000000000000000000000-4400000000000000
χ558-88-8-880000000000000004-400000000000000000000000000000000000
χ568-88-8-88000000000000000-4400000000000000000000000000000000000
χ578-8-8800008-80000000000000000004-40000000000000000000000000000
χ588-8-8800008-8000000000000000000-440000000000000000000000000000

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