Finite Group Databasebeta

← Group #72324306

Character table — Group #72324306

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111122222288888888881616161616161616161616161616323232323232323232323232323264646464
order1222222222222222444422224444444444444444444488888888
χ11111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-1-1-11111-11-1-11111-1-1-1-111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-11111-1-111
χ511111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-11-111ii−i−iii−i−ii−ii−i
χ611111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-11-111−i−iii−i−iii−ii−ii
χ711111111111111-1-111-1-111-1-111111111-1-11-1-1-1-1-1ii−i−i−i−iiii−i−ii
χ811111111111111-1-111-1-111-1-111111111-1-11-1-1-1-1-1−i−iiiii−i−i−iii−i
χ91111111111-1-1-1-1111111111111-1-111-1-111-1-11-1-1-11111-1-1-1-1-1-111
χ101111111111-1-1-1-1111111111111-1-111-1-111-1-11-1-1-1-1-1-1-1111111-1-1
χ111111111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-1
χ121111111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111
χ131111111111-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-1111-1-1ii−i−i−i−iii−iii−i
χ141111111111-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-1111-1-1−i−iiiii−i−ii−i−ii
χ151111111111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-11-1111ii−i−iii−i−i−ii−ii
χ161111111111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-11-1111−i−iii−i−iiii−ii−i
χ1722222222220000222222-2-200002200-2-2-2-200002-2000000000000
χ1822222222220000222222-2-20000-2-20022-2-20000-22000000000000
χ192222222222000022-2-2-2-22-2222200-2-2002-200-2000000000000000
χ202222222222000022-2-2-2-22-2-2-2-2-20022002-2002000000000000000
χ2122222222220000-2-222-2-2-2-200002200-2-2220000-22000000000000
χ2222222222220000-2-222-2-2-2-20000-2-200222200002-2000000000000
χ2322222222220000-2-2-2-2222-222-2-2002200-2200-2000000000000000
χ2422222222220000-2-2-2-2222-2-2-22200-2-200-22002000000000000000
χ252222222222222222-2-2-2-2-220000000000-22-2-20200000000000000
χ2622222222222222-2-2-2-222-2200000000002-2-220-200000000000000
χ272222222222-2-2-2-222-2-2-2-2-220000000000-22220-200000000000000
χ282222222222-2-2-2-2-2-2-2-222-2200000000002-22-20200000000000000
χ29444444-4-4-4-40000004-40000000000004i−4i00000000000000000000
χ30444444-4-4-4-40000004-4000000000000−4i4i00000000000000000000
χ31444444-4-4-4-4000000-44000000004i−4i000000000000000000000000
χ32444444-4-4-4-4000000-4400000000−4i4i000000000000000000000000
χ334444-4-44-4-44000000004-40000000000000000000000002i−2i2i−2i0000
χ344444-4-44-4-44000000004-4000000000000000000000000−2i2i−2i2i0000
χ354444-4-44-4-4400000000-440000000000000000000000002-2-220000
χ364444-4-44-4-4400000000-44000000000000000000000000-222-20000
χ374444-4-4-444-400004-40000000000000000000000002i−2i2i−2i00000000
χ384444-4-4-444-400004-4000000000000000000000000−2i2i−2i2i00000000
χ394444-4-4-444-40000-440000000000000000000000002-2-2200000000
χ404444-4-4-444-40000-44000000000000000000000000-222-200000000
χ4188-8-800800-80000000000000000004i−4i0000000000000000000000
χ4288-8-800800-8000000000000000000−4i4i0000000000000000000000
χ4388-8-800-800844-4-400000000000000000000000000000000000000
χ4488-8-800-8008-4-44400000000000000000000000000000000000000
χ458-88-80008-80000000000000004-400000000000000000000000000
χ468-88-80008-8000000000000000-4400000000000000000000000000
χ478-88-8000-8804-44-400000000000000000000000000000000000000
χ488-88-8000-880-44-4400000000000000000000000000000000000000
χ498-8-888-800000000000000004-40000000000000000000000000000
χ508-8-888-80000000000000000-440000000000000000000000000000
χ518-8-88-8800004-4-4400000000000000000000000000000000000000
χ528-8-88-880000-444-400000000000000000000000000000000000000

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