Finite Group Databasebeta

← Group #72262842

Character table — Group #72262842

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1111222222888888161616161616161616161616161616161616161632323232323232323232323264646464
order1222222222222222222224444444444444444444444444448888
χ11111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1111-1-111-1-1-1-1-1-1111-1-1-11111-1-1-1-111-1-1
χ41111111111111111111-1-1111-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-11111-1-111
χ511111111111111111-1-1111-1-111-1-111-1-1-1-111-11-1-11111-1-1-1-1-1-111
χ611111111111111111-1-1111-1-111-1-111-1-1-1-111-11-1-1-1-1-1-1111111-1-1
χ711111111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1
χ811111111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111
χ9111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111ii−i−iii−i−ii−ii−i
χ10111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111−i−iii−i−iii−ii−ii
χ11111111111111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-11-1-1ii−i−i−i−iiii−i−ii
χ12111111111111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-11-1-1−i−iiiii−i−i−iii−i
χ13111111111111-1-1-1-11-1-1111-1-11111-1-11111-1-11-1-1-1ii−i−i−i−iii−iii−i
χ14111111111111-1-1-1-11-1-1111-1-11111-1-11111-1-11-1-1-1−i−iiiii−i−ii−i−ii
χ15111111111111-1-1-1-11-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111ii−i−iii−i−i−ii−ii
χ16111111111111-1-1-1-11-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111−i−iii−i−iiii−ii−i
χ172222222222222222-20000-20000000022-2-2-2-2002-2000000000000
χ182222222222222222-20000-200000000-2-222-2-200-22000000000000
χ19222222222222-2-2-2-2-20000-20000000022-2-22200-22000000000000
χ20222222222222-2-2-2-2-20000-200000000-2-22222002-2000000000000
χ212222222222-2-22-22-220022-200-2-2002200002-20-200000000000000
χ222222222222-2-22-22-2200-2-2-2002200-2-200002-20200000000000000
χ232222222222-2-22-22-2-222002-2-20022000000-22-2000000000000000
χ242222222222-2-22-22-2-2-2-20022200-2-2000000-222000000000000000
χ252222222222-2-2-22-2220022-200-2-200-2-20000-220200000000000000
χ262222222222-2-2-22-22200-2-2-2002200220000-220-200000000000000
χ272222222222-2-2-22-22-222002-2-200-2-20000002-22000000000000000
χ282222222222-2-2-22-22-2-2-20022200220000002-2-2000000000000000
χ29444444-4-4-4-44-4000000000000000000004i−4i000000000000000000
χ30444444-4-4-4-44-400000000000000000000−4i4i000000000000000000
χ31444444-4-4-4-4-440000000000000000004i−4i00000000000000000000
χ32444444-4-4-4-4-44000000000000000000−4i4i00000000000000000000
χ334444-4-444-4-400040-400000000000000000000000000002i−2i2i−2i0000
χ344444-4-444-4-400040-40000000000000000000000000000−2i2i−2i2i0000
χ354444-4-444-4-4000-40400000000000000000000000000002-2-220000
χ364444-4-444-4-4000-4040000000000000000000000000000-222-20000
χ374444-4-4-4-4440040-400000000000000000000000002i−2i2i−2i00000000
χ384444-4-4-4-4440040-40000000000000000000000000−2i2i−2i2i00000000
χ394444-4-4-4-44400-40400000000000000000000000002-2-2200000000
χ404444-4-4-4-44400-4040000000000000000000000000-222-200000000
χ4188-8-800008-80000000000000000004-40000000000000000000000
χ4288-8-800008-8000000000000000000-440000000000000000000000
χ4388-8-80000-880000000000004-40000000000000000000000000000
χ4488-8-80000-88000000000000-440000000000000000000000000000
χ458-88-8008-80000000000000000004-4000000000000000000000000
χ468-88-8008-8000000000000000000-44000000000000000000000000
χ478-88-800-88000000000004-40000000000000000000000000000000
χ488-88-800-8800000000000-440000000000000000000000000000000
χ498-8-888-80000000000000000004-400000000000000000000000000
χ508-8-888-8000000000000000000-4400000000000000000000000000
χ518-8-88-88000000000004-4000000000000000000000000000000000
χ528-8-88-8800000000000-44000000000000000000000000000000000

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