Finite Group Databasebeta

← Group #72323901

Character table — Group #72323901

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size112224444888881616161616163232323232323232323232323232326464646464646464646464646464128128128128
order12222222222222222444224444444444444444444444488884888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111-11-11111-1-111111-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111-11-11111-1-111111-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111111111111111111-11-1111-1-111-1-1-1-11111111-1-1-1-11111-1-1-1-1
χ611111111111111111111-11-1111-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-111
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111111111-1-1
χ91111111111-1-1-1-1111-11-111-111-11-11111-1-1-1-1-1ii−i−iii−i−iii−i−i1-1i−i
χ101111111111-1-1-1-1111-11-111-111-11-11111-1-1-1-1-1−i−iii−i−iii−i−iii1-1−ii
χ111111111111-1-1-1-1111-11-11-1-1-11-11-1-1-111-1-1-111ii−i−iii−i−i−i−iii-11−ii
χ121111111111-1-1-1-1111-11-11-1-1-11-11-1-1-111-1-1-111−i−iii−i−iiiii−i−i-11i−i
χ131111111111-1-1-1-1111-11-1-11111-1-1111-1-111-1-1-1ii−i−i−i−iiiii−i−i-11−ii
χ141111111111-1-1-1-1111-11-1-11111-1-1111-1-111-1-1-1−i−iiiii−i−i−i−iii-11i−i
χ151111111111-1-1-1-1111-11-1-1-11-11-1-11-1-1-1-111-111ii−i−i−i−iii−i−iii1-1i−i
χ161111111111-1-1-1-1111-11-1-1-11-11-1-11-1-1-1-111-111−i−iiiii−i−iii−i−i1-1−ii
χ172222222222222222-22-220000-2-200000000-2002-22-2000000000000
χ182222222222222222-22-220000-2-200000000-200-22-22000000000000
χ1922222222222222-2-22-22-22020-222200-2-2-2-2-2000000000000000000
χ2022222222222222-2-22-22-2-20-20-22-2-2002222-2000000000000000000
χ2122222222222222-2-2-2-2-2-200002-20000000020000002-22-200000000
χ2222222222222222-2-2-2-2-2-200002-2000000002000000-22-2200000000
χ232222222222-2-2-2-222-2-2-2-20000-22000000002002i−2i−2i2i000000000000
χ242222222222-2-2-2-222-2-2-2-20000-2200000000200−2i2i2i−2i000000000000
χ252222222222-2-2-2-2-2-2222220-20-2-22-200-2-2222000000000000000000
χ262222222222-2-2-2-2-2-22222-2020-2-2-220022-2-22000000000000000000
χ272222222222-2-2-2-2-2-2-22-2200002200000000-20000002i−2i−2i2i00000000
χ282222222222-2-2-2-2-2-2-22-2200002200000000-2000000−2i2i2i−2i00000000
χ29444444-4-44-400000040-40400000-400000000000000000000000000
χ30444444-4-44-400000040-40-400000400000000000000000000000000
χ31444444-4-44-4000000-40400040000-40000000000000000000000000
χ32444444-4-44-4000000-404000-4000040000000000000000000000000
χ3344444-444-4-444-4-400000002020000-2-2000002-20000000000000000
χ3444444-444-4-444-4-40000000-20-200002200000-220000000000000000
χ3544444-444-4-4-4-44400000002020000-2-200000-220000000000000000
χ3644444-444-4-4-4-4440000000-20-2000022000002-20000000000000000
χ3788888-8-8-8-880000000000000000000000000000000000000000000
χ38888-8-800000000000040-400000000000000000000000002i−2i2i−2i0000
χ39888-8-800000000000040-40000000000000000000000000−2i2i−2i2i0000
χ40888-8-8000000000000-40400000000000000000000000002-2-220000
χ41888-8-8000000000000-4040000000000000000000000000-222-20000
χ4288-88-80000000004-40000000000004-400000000000000000000000
χ4388-88-80000000004-4000000000000-4400000000000000000000000
χ4488-88-8000000000-440000040-400000000000000000000000000000
χ4588-88-8000000000-4400000-40400000000000000000000000000000
χ4688-8-8808-800008-8000000000000000000000000000000000000000
χ4788-8-8808-80000-88000000000000000000000000000000000000000
χ4888-8-880-88008-800000000000000000000000000000000000000000
χ4988-8-880-8800-8800000000000000000000000000000000000000000
χ5016-16000800-8000000000000000000000004i−4i0000000000000000000
χ5116-16000800-800000000000000000000000−4i4i0000000000000000000
χ5216-16000-80080000000000000000000004-4000000000000000000000
χ5316-16000-8008000000000000000000000-44000000000000000000000

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