Finite Group Databasebeta

← Group #72235235

Character table — Group #72235235

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size112224444448888888888881616323232323232323232323232323232323232323232323232323232
order1222222222222222244444422444444444444444444488888888
χ11111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ91111111111111-1-1-1-111-1-1-1-1111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ101111111111111-1-1-1-111-1-1-1-1111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii
χ111111111111111-1-1-1-111-1-1-1-1111-1-1-1-111-1-111ii−i−i−i−iiiii−i−i−i−iii
χ121111111111111-1-1-1-111-1-1-1-1111-1-1-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i
χ131111111111111-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-111ii−i−iii−i−i−i−iii−i−iii
χ141111111111111-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-111−i−iii−i−iiiii−i−iii−i−i
χ151111111111111-1-1-1-111-1-1-1-1-1-1-111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ161111111111111-1-1-1-111-1-1-1-1-1-1-111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii
χ1722222222222-2-22-22-2-2-22-22-222-22-2000000000000000000000000
χ1822222222222-2-22-22-2-2-22-22-2-2-22-22000000000000000000000000
χ1922222222222-2-2-22-22-2-2-22-2222-2-22000000000000000000000000
χ2022222222222-2-2-22-22-2-2-22-22-2-222-2000000000000000000000000
χ212222222-2-2-2-2222-2-22-2-2-222-2000002i−2i2i−2i00000000000000000000
χ222222222-2-2-2-2222-2-22-2-2-222-200000−2i2i−2i2i00000000000000000000
χ232222222-2-2-2-222-222-2-2-22-2-22000002i−2i−2i2i00000000000000000000
χ242222222-2-2-2-222-222-2-2-22-2-2200000−2i2i2i−2i00000000000000000000
χ252222222-2-2-2-2-2-222-2-222-2-2220000000002i−2i2i−2i0000000000000000
χ262222222-2-2-2-2-2-222-2-222-2-222000000000−2i2i−2i2i0000000000000000
χ272222222-2-2-2-2-2-2-2-2222222-2-20000000002i−2i−2i2i0000000000000000
χ282222222-2-2-2-2-2-2-2-2222222-2-2000000000−2i2i2i−2i0000000000000000
χ2922222-2-222-2-22-2222-22-2-22-2-200000000000000000000000002i−2i2i−2i
χ3022222-2-222-2-22-2222-22-2-22-2-20000000000000000000000000−2i2i−2i2i
χ3122222-2-222-2-22-2-2-2-222-22-22200000000000000000000000002-2-22
χ3222222-2-222-2-22-2-2-2-222-22-2220000000000000000000000000-222-2
χ3322222-2-222-2-2-222-222-22-2-2-22000000000000000002-22-200000000
χ3422222-2-222-2-2-222-222-22-2-2-2200000000000000000-22-2200000000
χ3522222-2-222-2-2-22-22-2-2-22222-2000000000000000002i−2i−2i2i00000000
χ3622222-2-222-2-2-22-22-2-2-22222-200000000000000000−2i2i2i−2i00000000
χ3722222-2-2-2-2222-22-2-2-2-2222-220000000000000000000002i−2i2i−2i0000
χ3822222-2-2-2-2222-22-2-2-2-2222-22000000000000000000000−2i2i−2i2i0000
χ3922222-2-2-2-2222-2-2222-22-2-22-20000000000000000000002-2-220000
χ4022222-2-2-2-2222-2-2222-22-2-22-2000000000000000000000-222-20000
χ4122222-2-2-2-222-2222-222-22-2-2-200000000000002i−2i2i−2i000000000000
χ4222222-2-2-2-222-2222-222-22-2-2-20000000000000−2i2i−2i2i000000000000
χ4322222-2-2-2-222-22-2-22-22-2-222200000000000002-2-22000000000000
χ4422222-2-2-2-222-22-2-22-22-2-22220000000000000-222-2000000000000
χ45888-8-800008-800000000000000000000000000000000000000000
χ46888-8-80000-8800000000000000000000000000000000000000000
χ4788-88-8008-80000000000000000000000000000000000000000000
χ4888-88-800-880000000000000000000000000000000000000000000
χ4988-8-888-8000000000000000000000000000000000000000000000
χ5088-8-88-88000000000000000000000000000000000000000000000
χ5116-160000000000000000000004-4000000000000000000000000000
χ5216-16000000000000000000000-44000000000000000000000000000

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