Finite Group Databasebeta

← Group #502673

Character table — Group #502673

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222244444448888888881616161616161616161616161616161616161616163232
order12222222244444444444444422244444444448888888888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1111-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-1-11-1-1-1-1-1-1-111111111-1-1
χ5111111111111111111-1-1-1-1-1-11-1111-11-111-11-11111-1-1-1-1-1-1
χ6111111111111111111-1-1-1-1-1-11-1-1-1-1-11-1-11-11-1-1-1-1-1111111
χ7111111111111111111-1-1-1-1-1-1-11111-1-111-11-11-1-1-1-11111-1-1
χ8111111111111111111-1-1-1-1-1-1-11-1-1-1-1-11-1-11-111111-1-1-1-111
χ91111-1-111-1111111-1-1-11111-1-11-11-11-1-11-11-1-1111-1-111-1-11-1
χ101111-1-111-1111111-1-1-11111-1-11-1-11-1-1-1111-1-11-1-111-1-111-11
χ111111-1-111-1111111-1-1-11111-1-1-111-11-11-1-1-111-1-1-111-1-1111-1
χ121111-1-111-1111111-1-1-11111-1-1-11-11-1-11-11-111-111-1-111-1-1-11
χ131111-1-111-1111111-1-1-1-1-1-1-111111-111-1-1-111-1-111-1-1-1-111-11
χ141111-1-111-1111111-1-1-1-1-1-1-11111-11-11-1-1111-1-1-1-11111-1-11-1
χ151111-1-111-1111111-1-1-1-1-1-1-111-1-11-11111-1-1-111-1-11111-1-1-11
χ161111-1-111-1111111-1-1-1-1-1-1-111-1-1-11-11111-1-11111-1-1-1-1111-1
χ172222222222-2-2-22-22-2-20000000200000200-20-20000000000
χ182222222222-2-2-22-22-2-20000000-200000-2002020000000000
χ19222222222-22-2-2-22-22-2000000200000200-20-200000000000
χ20222222222-22-2-2-22-22-2000000-200000-20020200000000000
χ21222222222-2-222-2-2-2-2222-2-2-2-200000200000000000000000
χ22222222222-2-222-2-2-2-22-2-2222200000-200000000000000000
χ232222-2-222-22-2-2-22-2-2220000000200000-200-2020000000000
χ242222-2-222-22-2-2-22-2-2220000000-20000020020-20000000000
χ252222-2-222-2-22-2-2-222-22000000200000-200-20200000000000
χ262222-2-222-2-22-2-2-222-22000000-20000020020-200000000000
χ272222-2-222-2-2-222-2-222-222-2-22200000-200000000000000000
χ282222-2-222-2-2-222-2-222-2-2-222-2-200000200000000000000000
χ292-22-2002-202-22-2-220002i−2i2i−2i0000000000000002-2002i−2i0000
χ302-22-2002-202-22-2-220002i−2i2i−2i000000000000000-2200−2i2i0000
χ312-22-2002-202-22-2-22000−2i2i−2i2i0000000000000002-200−2i2i0000
χ322-22-2002-202-22-2-22000−2i2i−2i2i000000000000000-22002i−2i0000
χ332-22-2002-20-222-22-20002i−2i−2i2i000000000000000002i−2i002-200
χ342-22-2002-20-222-22-20002i−2i−2i2i00000000000000000−2i2i00-2200
χ352-22-2002-20-222-22-2000−2i2i2i−2i000000000000000002i−2i00-2200
χ362-22-2002-20-222-22-2000−2i2i2i−2i00000000000000000−2i2i002-200
χ37444444-4-4-4000000000000000002-2-2000200000000000000
χ38444444-4-4-400000000000000000-222000-200000000000000
χ394444-4-4-4-440000000000000000022-2000-200000000000000
χ404444-4-4-4-4400000000000000000-2-22000200000000000000
χ414-44-4004-4044-44-4-400000000000000000000000000000000
χ424-44-4004-40-4-4-444400000000000000000000000000000000
χ4388-8-80000000000000000004-400000000000000000000000
χ4488-8-8000000000000000000-4400000000000000000000000
χ458-88-800-88000000000000000000000000000000000000000
χ468-8-888-800000000000000000000000000000000000000000
χ478-8-88-8800000000000000000000000000000000000000000

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