Finite Group Databasebeta

← Group #72237598

Character table — Group #72237598

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111122222244888881616161616161616161616161616161616163232323232323232323232323264646464
order1222222222222222222222444444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-111111-1-111-1-1-1-11-1-11-1-111111111-1-1-1-1
χ41111111111111111111-1-111111-1-111-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-1-111111-1-1-1-1-1-111-1-11-11-11-11111-1-1-1-111-1-1
χ611111111111111111-1-111111-1-1-1-1-1-111-1-11-11-11-1-1-1-1-11111-1-111
χ711111111111111111-1-1-1-1111-1-111-1-1-1-11111-1-1-111111-1-1-1-1-1-111
χ811111111111111111-1-1-1-1111-1-111-1-1-1-11111-1-1-11-1-1-1-1111111-1-1
χ91111111111111-1-1-1-11111-111-1-111-1-1-1-1-1-1-1-1-1111ii−i−iii−i−ii−ii−i
χ101111111111111-1-1-1-11111-111-1-111-1-1-1-1-1-1-1-1-1111−i−iii−i−iii−ii−ii
χ111111111111111-1-1-1-111-1-1-111-1-1-1-1-1-11111-1111-1-1ii−i−iii−i−i−ii−ii
χ121111111111111-1-1-1-111-1-1-111-1-1-1-1-1-11111-1111-1-1−i−iii−i−iiii−ii−i
χ131111111111111-1-1-1-1-1-111-11111-1-111-1-111-11-1-11-1ii−i−i−i−iiii−i−ii
χ141111111111111-1-1-1-1-1-111-11111-1-111-1-111-11-1-11-1−i−iiiii−i−i−iii−i
χ151111111111111-1-1-1-1-1-1-1-1-11111111111-1-1-1-11-1-11ii−i−i−i−iii−iii−i
χ161111111111111-1-1-1-1-1-1-1-1-11111111111-1-1-1-11-1-11−i−iiiii−i−ii−i−ii
χ17222222222222222222200-2-2-22200-2-20000-200-200000000000000
χ1822222222222222222-2-200-2-2-2-2-200220000-200200000000000000
χ192222222222222-2-2-2-222002-2-2-2-200220000200-200000000000000
χ202222222222222-2-2-2-2-2-2002-2-22200-2-20000200200000000000000
χ212222222222-2-2-22-22-200002-2200220000-2-2-22000-2000000000000
χ222222222222-2-2-22-22-200002-2200-2-2000022-2-20002000000000000
χ232222222222-2-2-22-22-20022-22-2000000-2-2002020-20000000000000
χ242222222222-2-2-22-22-200-2-2-22-2000000220020-2020000000000000
χ252222222222-2-2-2-22-220000-2-2200220000222-2000-2000000000000
χ262222222222-2-2-2-22-220000-2-2200-2-20000-2-2220002000000000000
χ272222222222-2-2-2-22-22002222-20000002200-20-20-20000000000000
χ282222222222-2-2-2-22-2200-2-222-2000000-2-200-202020000000000000
χ2944444-4-44-4-4000040-4000000000000000000000002i−2i2i−2i00000000
χ3044444-4-44-4-4000040-400000000000000000000000−2i2i−2i2i00000000
χ3144444-4-44-4-40000-404000000000000000000000002-2-2200000000
χ3244444-4-44-4-40000-40400000000000000000000000-222-200000000
χ334444-444-4-4-400040-400000000000000000000000000002i−2i2i−2i0000
χ344444-444-4-4-400040-40000000000000000000000000000−2i2i−2i2i0000
χ354444-444-4-4-4000-40400000000000000000000000000002-2-220000
χ364444-444-4-4-4000-4040000000000000000000000000000-222-20000
χ374444-4-4-4-44444-4000000000004-400000000000000000000000000
χ384444-4-4-4-44444-400000000000-4400000000000000000000000000
χ394444-4-4-4-444-4-440000000000000004-40000000000000000000000
χ404444-4-4-4-444-4-44000000000000000-440000000000000000000000
χ4188-8-8800-80000000000000000000000004i−4i000000000000000000
χ4288-8-8800-8000000000000000000000000−4i4i000000000000000000
χ4388-8-8-8008000000000004-40000000000000000000000000000000
χ4488-8-8-800800000000000-440000000000000000000000000000000
χ458-88-800008-800000004-4000000000000000000000000000000000
χ468-88-800008-80000000-44000000000000000000000000000000000
χ478-88-80000-888-80000000000000000000000000000000000000000
χ488-88-80000-88-880000000000000000000000000000000000000000
χ498-8-8808-8000000000000000000000004-400000000000000000000
χ508-8-8808-800000000000000000000000-4400000000000000000000
χ518-8-880-8800000000000000000004-4000000000000000000000000
χ528-8-880-880000000000000000000-44000000000000000000000000

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