Finite Group Databasebeta

← Group #500025

Character table — Group #500025

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222244444444488888888888888881616161616161616161616161632323232
order12222222244444444222244444444444424444444488888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111-1-1111111-1-1-1-111-1-1-11-11-1-1-1-1-111-1-1
χ4111111111111111111111-1-1111111-1-1-1-1-1-1-111-11-11-1-1-1-1-1-111
χ511111111111111111-1-1-1-11111-1-1-1-11111111111111-1-1-1-1-1-1-1-1
χ611111111111111111-1-1-1-11111-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-11-11-11111-1-111
χ811111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-11-11111111-1-1
χ91111-1-111-11-1-11111111-1-111-1-111-1-111-1-11-1-11-11-1-1111-1-11-11-1
χ101111-1-111-11-1-11111111-1-111-1-111-1-111-1-1-11-1-11-111-111-1-1-11-11
χ111111-1-111-11-1-11111111-1-1-1-1-1-111-1-1-1-1111-11-1111-1-1-1-1111-1-11
χ121111-1-111-11-1-11111111-1-1-1-1-1-111-1-1-1-111-1111-1-1-111-1-111-111-1
χ131111-1-111-11-1-111111-1-11111-1-1-1-11111-1-11-1-11-11-1-11-1-111-11-11
χ141111-1-111-11-1-111111-1-11111-1-1-1-11111-1-1-11-1-11-111-1-1-1111-11-1
χ151111-1-111-11-1-111111-1-111-1-1-1-1-1-111-1-1111-11-1111-1-111-1-1-111-1
χ161111-1-111-11-1-111111-1-111-1-1-1-1-1-111-1-111-1111-1-1-11111-1-11-1-11
χ17222222222222-2-2-2-22000022-2-20000-2-2-2-200200000000000000
χ18222222222222-2-2-2-220000-2-2-2-20000222200-200000000000000
χ19222222222-2-2-222-2-2-20000002-200000000000220-20-200000000
χ20222222222-2-2-222-2-2-20000002-200000000000-2-2020200000000
χ21222222222-2-2-2-2-222-2000000-220000000022000-20-2000000000
χ22222222222-2-2-2-2-222-2000000-2200000000-2-2000202000000000
χ232222-2-222-22-2-2-2-2-2-22000022220000-2-22200-200000000000000
χ242222-2-222-22-2-2-2-2-2-220000-2-222000022-2-200200000000000000
χ252222-2-222-2-22222-2-2-2000000-22000000000002-2020-200000000
χ262222-2-222-2-22222-2-2-2000000-2200000000000-220-20200000000
χ272222-2-222-2-222-2-222-20000002-2000000002-2000-202000000000
χ282222-2-222-2-222-2-222-20000002-200000000-2200020-2000000000
χ292-2-22002-202002-22-2-2002-22i−2i00002-22i−2i00000000000002i−2i0000
χ302-2-22002-202002-22-2-2002-2−2i2i00002-2−2i2i0000000000000−2i2i0000
χ312-2-22002-202002-22-2-200-222i−2i0000-222i−2i0000000000000−2i2i0000
χ322-2-22002-202002-22-2-200-22−2i2i0000-22−2i2i00000000000002i−2i0000
χ332-2-22002-20200-22-22-22-2002i−2i002-200−2i2i000000000002i−2i000000
χ342-2-22002-20200-22-22-22-200−2i2i002-2002i−2i00000000000−2i2i000000
χ352-2-22002-20200-22-22-2-22002i−2i00-2200−2i2i00000000000−2i2i000000
χ362-2-22002-20200-22-22-2-2200−2i2i00-22002i−2i000000000002i−2i000000
χ37444444-4-4-40000000022220000-2-2-2-2000000000000000000000
χ38444444-4-4-400000000-2-2-2-200002222000000000000000000000
χ394444-4-4-4-440000000022-2-20000-2-222000000000000000000000
χ404444-4-4-4-4400000000-2-222000022-2-2000000000000000000000
χ414-4-44004-40-4004-4-444000000000000000000000000000000000
χ424-4-44004-40-400-444-44000000000000000000000000000000000
χ434-4-4400-44004-4000002-22-20000-22-22000000000000000000000
χ444-4-4400-44004-400000-22-2200002-22-2000000000000000000000
χ454-4-4400-4400-44000002-2-220000-222-2000000000000000000000
χ464-4-4400-4400-4400000-222-200002-2-22000000000000000000000
χ4788-8-88-800000000000000000000000000000000000000000000
χ4888-8-8-8800000000000000000000000000000000000000000000
χ498-88-80000000000000000000000000004i−4i00000000000000000
χ508-88-8000000000000000000000000000−4i4i00000000000000000

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