Finite Group Databasebeta

← Group #72285226

Character table — Group #72285226

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size112444888888888888881616161616161616323232323232323232323232323264646464646464646464646464128128128128
order12222222222244444444222224442244444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-11-1-111-1-1-1-1111-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111-1-11-1-111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1111-1-1-1-11-1-1-11-1-11-11111-1-111-111-1-11111-1-1-1-111-1-1
χ611111111111111-1-1-1-1111-1-1-1-11-1-1-11-1-11-11111-1-111-111-1-1-1-1-1-11111-1-111
χ711111111111111-1-1-1-1111-1-1-1-11-1-1-1-11-1-1111-1-11111-1-1-1111111-1-1-1-1-1-111
χ811111111111111-1-1-1-1111-1-1-1-11-1-1-1-11-1-1111-1-11111-1-1-111-1-1-1-1111111-1-1
χ91111111111-1-1111111-1-1-111-1-1-1-1-1111111111111-1-1-1-1-1-1-1ii−i−iii−i−ii−ii−i
χ101111111111-1-1111111-1-1-111-1-1-1-1-1111111111111-1-1-1-1-1-1-1−i−iii−i−iii−ii−ii
χ111111111111-1-1111111-1-1-111-1-1-1-1-11-1-11-1-111-1-1-1-1-1-1-11111ii−i−iii−i−i−ii−ii
χ121111111111-1-1111111-1-1-111-1-1-1-1-11-1-11-1-111-1-1-1-1-1-1-11111−i−iii−i−iiii−ii−i
χ131111111111-1-111-1-1-1-1-1-1-1-1-111-111-11-1-11-11111-1-1-1-11-1-111ii−i−i−i−iiii−i−ii
χ141111111111-1-111-1-1-1-1-1-1-1-1-111-111-11-1-11-11111-1-1-1-11-1-111−i−iiiii−i−i−iii−i
χ151111111111-1-111-1-1-1-1-1-1-1-1-111-111-1-11-1-1111-1-111-1-1111-1-1ii−i−i−i−iii−iii−i
χ161111111111-1-111-1-1-1-1-1-1-1-1-111-111-1-11-1-1111-1-111-1-1111-1-1−i−iiiii−i−ii−i−ii
χ172222222222222222222222222222-200-200-2-20000-2-2-20000000000000000
χ1822222222222222-2-2-2-2222-2-2-2-22-2-2200200-2-20000-2-220000000000000000
χ192222222222-2-2222222-2-2-222-2-2-2-2-2-200-200-2-200002220000000000000000
χ202222222222-2-222-2-2-2-2-2-2-2-2-222-222200200-2-2000022-20000000000000000
χ21222222-2-22222-2-20000-2-2-200002000020022-200-2-22-20002-2000000000000
χ22222222-2-22222-2-20000-2-2-2000020000-200-22-200222-2000-22000000000000
χ23222222-2-22222-2-20000-2-2-20000200020020-22-2-200-2202-200000000000000
χ24222222-2-22222-2-20000-2-2-200002000-200-20-222200-220-2200000000000000
χ25222222-2-222-2-2-2-200002220000-2000020022-200-2-2-22000-22000000000000
χ26222222-2-222-2-2-2-200002220000-20000-200-22-20022-220002-2000000000000
χ27222222-2-222-2-2-2-200002220000-200020020-22-2-2002-20-2200000000000000
χ28222222-2-222-2-2-2-200002220000-2000-200-20-2222002-202-200000000000000
χ2944444444-4-400-4-400000000000000400-4000000000000000000000000000
χ3044444444-4-400-4-400000000000000-4004000000000000000000000000000
χ31444444-4-4-4-4004444-4-40004-4000000000000000000000000000000000000
χ32444444-4-4-4-40044-4-444000-44000000000000000000000000000000000000
χ334444-4-4004-40000000044-4000000000000000000000000002-22-200000000
χ344444-4-4004-40000000044-400000000000000000000000000-22-2200000000
χ354444-4-4004-400000000-4-44000000000000000000000000002i−2i−2i2i00000000
χ364444-4-4004-400000000-4-4400000000000000000000000000−2i2i2i−2i00000000
χ374444-4-400-44440000000000000-400000000000000000000000002-22-20000
χ384444-4-400-44440000000000000-40000000000000000000000000-22-220000
χ394444-4-400-44-4-40000000000000400000000000000000000000002i−2i−2i2i0000
χ404444-4-400-44-4-4000000000000040000000000000000000000000−2i2i2i−2i0000
χ41444-4-440000004-400440000-4000000220-2-2002-22-20000000000000000000
χ42444-4-440000004-400440000-4000000-2-202200-22-220000000000000000000
χ43444-4-440000004-400-4-4000040000002-20-22002-2-220000000000000000000
χ44444-4-440000004-400-4-400004000000-2202-200-222-20000000000000000000
χ45444-4-44000000-444400000-40000000220-2-200-22-220000000000000000000
χ46444-4-44000000-444400000-40000000-2-2022002-22-20000000000000000000
χ47444-4-44000000-44-4-400000400000002-20-2200-222-20000000000000000000
χ48444-4-44000000-44-4-40000040000000-2202-2002-2-220000000000000000000
χ49888-88-800000000000000000440-4-40000000000000000000000000000000
χ50888-88-800000000000000000-4-40440000000000000000000000000000000
χ5188-80004-4004-4004-44-44-40000004-40000000000000000000000000000000
χ5288-80004-4004-400-44-444-4000000-440000000000000000000000000000000
χ5388-80004-400-44004-44-4-44000000-440000000000000000000000000000000
χ5488-80004-400-4400-44-44-440000004-40000000000000000000000000000000
χ5588-8000-44004-4004-4-44-440004-40000000000000000000000000000000000
χ5688-8000-44004-400-444-4-44000-440000000000000000000000000000000000
χ5788-8000-4400-44004-4-444-4000-440000000000000000000000000000000000
χ5888-8000-4400-4400-444-44-40004-40000000000000000000000000000000000
χ5932-32000000000000000000000000000000000000000000000000000000000

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