Finite Group Databasebeta

← Group #500065

Character table — Group #500065

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222244444444488888888888888881616161616161616161616161632323232
order12222222222222244222224444444444422444444444444488
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-11-1-11111-1-1-1-1
χ31111111111111111111111-1-1-1-111111-1-11-11-11-1-11-1-1-1-1-111-1-1
χ41111111111111111111111-1-1-1-111111-1-1-11-11-11-1-11-1-1-1-1-1-111
χ5111111111111111111-1-1-1-111111-1-1-1-111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111
χ7111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11-11-11-1-11-11111-1-111
χ8111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11-11-11-1-11111111-1-1
χ91111-1-1111-1-1-111111-111-1-111-1-1-111-1-1111-1-111-1-1-1111-1-11-11-1
χ101111-1-1111-1-1-111111-111-1-111-1-1-111-1-111-111-1-11-11-111-1-1-11-11
χ111111-1-1111-1-1-111111-111-1-1-1-111-111-1-1-1-111-1-1111-1-1-1-1111-1-11
χ121111-1-1111-1-1-111111-111-1-1-1-111-111-1-1-1-1-1-111-1-1111-1-111-111-1
χ131111-1-1111-1-1-111111-1-1-11111-1-1-1-1-111111-1-111-1-1-11-1-111-11-11
χ141111-1-1111-1-1-111111-1-1-11111-1-1-1-1-11111-111-1-11-11-1-1-1111-11-1
χ151111-1-1111-1-1-111111-1-1-111-1-111-1-1-111-1-111-1-1111-1-111-1-1-111-1
χ161111-1-1111-1-1-111111-1-1-111-1-111-1-1-111-1-1-1-111-1-111111-1-11-1-11
χ17222222222222-2-22-2-2-200002222-20000-2-2000000-20000000000
χ18222222222222-2-22-2-2-20000-2-2-2-2-200002200000020000000000
χ1922222222-22-2-222-2-2-2200000000-20000002020-200-2000000000
χ2022222222-22-2-222-2-2-2200000000-2000000-20-202002000000000
χ2122222222-22-2-2-2-2-222-200000000200000002020-200-200000000
χ2222222222-22-2-2-2-2-222-20000000020000000-20-20200200000000
χ232222-2-2222-2-2-2-2-22-2-22000022-2-220000-2-200000020000000000
χ242222-2-2222-2-2-2-2-22-2-220000-2-2222000022000000-20000000000
χ252222-2-222-2-22222-2-2-2-200000000200000020-20-2002000000000
χ262222-2-222-2-22222-2-2-2-2000000002000000-2020200-2000000000
χ272222-2-222-2-222-2-2-222200000000-2000000020-20-200200000000
χ282222-2-222-2-222-2-2-222200000000-20000000-2020200-200000000
χ292-2-22002-220002-2-22-20002-22i−2i000002-22i−2i000000000002i−2i0000
χ302-2-22002-220002-2-22-20002-2−2i2i000002-2−2i2i00000000000−2i2i0000
χ312-2-22002-220002-2-22-2000-222i−2i00000-222i−2i00000000000−2i2i0000
χ322-2-22002-220002-2-22-2000-22−2i2i00000-22−2i2i000000000002i−2i0000
χ332-2-22002-22000-22-2-2202-2002i−2i0002-200−2i2i0000000002i−2i000000
χ342-2-22002-22000-22-2-2202-200−2i2i0002-2002i−2i000000000−2i2i000000
χ352-2-22002-22000-22-2-220-22002i−2i000-2200−2i2i000000000−2i2i000000
χ362-2-22002-22000-22-2-220-2200−2i2i000-22002i−2i0000000002i−2i000000
χ37444444-4-40-400000000222200000-2-2-2-20000000000000000000
χ38444444-4-40-400000000-2-2-2-20000022220000000000000000000
χ394444-4-4-4-4040000000022-2-200000-2-2220000000000000000000
χ404444-4-4-4-40400000000-2-2220000022-2-20000000000000000000
χ414-4-44004-4-40004-44-44000000000000000000000000000000000
χ424-4-44004-4-4000-4444-4000000000000000000000000000000000
χ434-4-4400-44004-40000002-22-200000-22-220000000000000000000
χ444-4-4400-44004-4000000-22-22000002-22-20000000000000000000
χ454-4-4400-4400-440000002-2-2200000-222-20000000000000000000
χ464-4-4400-4400-44000000-222-2000002-2-220000000000000000000
χ4788-8-8000000000000000000004-4000000000000000000000000
χ4888-8-800000000000000000000-44000000000000000000000000
χ498-88-88-800000000000000000000000000000000000000000000
χ508-88-8-8800000000000000000000000000000000000000000000

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