Finite Group Databasebeta

← Group #234549

Character table — Group #234549

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444444488888888888888881616161616161616161616161616161616161616
order12222222222222222244444444222244444444444422444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1
χ91111111111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-111-1-11-111-1-11-111-1-111-1-111-1-1
χ101111111111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-11-1-111-1111-1-1-1-111-1-111
χ111111111111-1-1-1-111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1111-1-1-1111-1-1-11111-1-1-1-111
χ121111111111-1-1-1-111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-111-1111-1-1-11-1-111-1-11111-1-1
χ131111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-111-1-1111111-1-11-111-1-11-1-1-111-1-111-1-111
χ141111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-111-1-1111111-1-1-11-1-111-11-1-11111-1-111-1-1
χ151111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1111-1-1-1111-111-1-1-1-11111-1-1
χ161111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1111111-1-111-1111-1-1-1111-1-111-1-1-1-111
χ17222222222222222222-2-2-2-2-2-2-2-2000022220000-2-2-2-200000000000000000000
χ18222222222222222222-2-2-2-2-2-2-2-20000-2-2-2-20000222200000000000000000000
χ192222222222-2-2-2-222-2-2-2-22222-2-2000022-2-20000-2-22200000000000000000000
χ202222222222-2-2-2-222-2-2-2-22222-2-20000-2-222000022-2-200000000000000000000
χ2122222222-2-22222-2-2-2-22-222-2-22-20000000000000000002-22-200000000000000
χ2222222222-2-22222-2-2-2-22-222-2-22-2000000000000000000-22-2200000000000000
χ2322222222-2-22222-2-2-2-2-22-2-222-220000000000000000220000-2-2000000000000
χ2422222222-2-22222-2-2-2-2-22-2-222-220000000000000000-2-2000022000000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-2-2222-20000000000000000002-2-2200000000000000
χ2622222222-2-2-2-2-2-2-2-2222-2-2-2222-2000000000000000000-222-200000000000000
χ2722222222-2-2-2-2-2-2-2-222-2222-2-2-2200000000000000002-20000-22000000000000
χ2822222222-2-2-2-2-2-2-2-222-2222-2-2-220000000000000000-2200002-2000000000000
χ2922-2-2-2-2222222-2-2-2-22-2222-22-2-2-2000000000000000000000000000000002i−2i2i−2i
χ3022-2-2-2-2222222-2-2-2-22-2222-22-2-2-200000000000000000000000000000000−2i2i−2i2i
χ3122-2-2-2-2222222-2-2-2-22-2-2-2-22-222200000000000000000000000000002-22-20000
χ3222-2-2-2-2222222-2-2-2-22-2-2-2-22-22220000000000000000000000000000-22-220000
χ3322-2-2-2-22222-2-222-2-2-2222-22-22-2-2000000000000000000000000000000002i−2i−2i2i
χ3422-2-2-2-22222-2-222-2-2-2222-22-22-2-200000000000000000000000000000000−2i2i2i−2i
χ3522-2-2-2-22222-2-222-2-2-22-2-22-22-22200000000000000000000000000002-2-220000
χ3622-2-2-2-22222-2-222-2-2-22-2-22-22-2220000000000000000000000000000-222-20000
χ3722-2-2-2-222-2-222-2-222-222-22-2-22-2222-2-2000022-2-2000000000000000000000000
χ3822-2-2-2-222-2-222-2-222-222-22-2-22-22-2-2220000-2-222000000000000000000000000
χ3922-2-2-2-222-2-222-2-222-22-22-222-22-20000000000000000000000002-22-200000000
χ4022-2-2-2-222-2-222-2-222-22-22-222-22-2000000000000000000000000-22-2200000000
χ4122-2-2-2-222-2-2-2-222222-22-2-222-2-2222-2-20000-2-222000000000000000000000000
χ4222-2-2-2-222-2-2-2-222222-22-2-222-2-22-2-222000022-2-2000000000000000000000000
χ4322-2-2-2-222-2-2-2-222222-2-222-2-222-20000000000000000000000002-2-2200000000
χ4422-2-2-2-222-2-2-2-222222-2-222-2-222-2000000000000000000000000-222-200000000
χ454-444-4-44-44-400004-40000000000000000000000004i−4i00000000000000000000
χ464-444-4-44-44-400004-4000000000000000000000000−4i4i00000000000000000000
χ474-444-4-44-4-440000-4400000000000000000000004i−4i0000000000000000000000
χ484-444-4-44-4-440000-440000000000000000000000−4i4i0000000000000000000000
χ494-44-44-4-44004-44-40000000000002-22-200002-22-2000000000000000000000000
χ504-44-44-4-44004-44-4000000000000-22-220000-22-22000000000000000000000000
χ514-44-44-4-4400-44-440000000000002-22-20000-22-22000000000000000000000000
χ524-44-44-4-4400-44-44000000000000-22-2200002-22-2000000000000000000000000
χ534-4-44-44-44004-4-440000000000002-2-2200002-2-22000000000000000000000000
χ544-4-44-44-44004-4-44000000000000-222-20000-222-2000000000000000000000000
χ554-4-44-44-4400-444-40000000000002-2-220000-222-2000000000000000000000000
χ564-4-44-44-4400-444-4000000000000-222-200002-2-22000000000000000000000000
χ574-4-4-4444-44-40000-4400000000000000004-40000000000000000000000000000
χ584-4-4-4444-44-40000-440000000000000000-440000000000000000000000000000
χ594-4-4-4444-4-4400004-4000000000000004-4000000000000000000000000000000
χ604-4-4-4444-4-4400004-400000000000000-44000000000000000000000000000000
χ61888-8-88-8-8000000000000000000000000000000000000000000000000000000
χ6288-888-8-8-8000000000000000000000000000000000000000000000000000000

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