Finite Group Databasebeta

← Group #502671

Character table — Group #502671

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222244444448888888881616161616161616161616161616161616161616163232
order12222222222224422444444422444444444444444444488
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111-11-11-111-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-11-11-111-11-1-1-1-1-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1
χ5111111111111111111-1-1-1-1-1-111-11-11-1111-11-11111-1-1-1-1-1-1
χ6111111111111111111-1-1-1-1-1-11-1-1-1-1-1-11-11-11-1-1-1-1-1111111
χ7111111111111111111-1-1-1-1-1-1-111111-1-11-11-11-1-1-1-11111-1-1
χ8111111111111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-11-111111-1-1-1-111
χ91111-1-11111-11111-1-1-11111-1-1111-1-11-1-1-11-1-1111-1-111-1-11-1
χ101111-1-11111-11111-1-1-11111-1-11-111-1-1-1-111-1-11-1-111-1-111-11
χ111111-1-11111-11111-1-1-11111-1-1-11-1-111-11-1-111-1-1-111-1-1111-1
χ121111-1-11111-11111-1-1-11111-1-1-1-1-111-1-111-111-111-1-111-1-1-11
χ131111-1-11111-11111-1-1-1-1-1-1-11111-1-1111-1-111-1-111-1-1-1-111-11
χ141111-1-11111-11111-1-1-1-1-1-1-1111-1-111-11-1111-1-1-1-11111-1-11-1
χ151111-1-11111-11111-1-1-1-1-1-1-111-111-1-1111-1-1-111-1-11111-1-1-11
χ161111-1-11111-11111-1-1-1-1-1-1-111-1-111-1-1111-1-11111-1-1-1-1111-1
χ17222222222-222-2-2-22-2-20000000020200000-20-20000000000
χ18222222222-222-2-2-22-2-200000000-20-2000002020000000000
χ1922222222-222-22-2-2-22-2000000200000020-20-200000000000
χ2022222222-222-22-2-2-22-2000000-2000000-2020200000000000
χ2122222222-2-22-2-222-2-2222-2-2-2-200000020000000000000000
χ2222222222-2-22-2-222-2-22-2-22222000000-20000000000000000
χ232222-2-2222-2-22-2-2-2-2220000000020-20000020-20000000000
χ242222-2-2222-2-22-2-2-2-22200000000-20200000-2020000000000
χ252222-2-222-22-2-22-2-22-220000002000000-20-20200000000000
χ262222-2-222-22-2-22-2-22-22000000-20000002020-200000000000
χ272222-2-222-2-2-2-2-22222-222-2-222000000-20000000000000000
χ282222-2-222-2-2-2-2-22222-2-2-222-2-200000020000000000000000
χ292-22-2002-22-20-222-20002i−2i2i−2i0000000000000002-2002i−2i0000
χ302-22-2002-22-20-222-20002i−2i2i−2i000000000000000-2200−2i2i0000
χ312-22-2002-22-20-222-2000−2i2i−2i2i0000000000000002-200−2i2i0000
χ322-22-2002-22-20-222-2000−2i2i−2i2i000000000000000-22002i−2i0000
χ332-22-2002-2-2202-22-20002i−2i−2i2i000000000000000002i−2i002-200
χ342-22-2002-2-2202-22-20002i−2i−2i2i00000000000000000−2i2i00-2200
χ352-22-2002-2-2202-22-2000−2i2i2i−2i000000000000000002i−2i00-2200
χ362-22-2002-2-2202-22-2000−2i2i2i−2i00000000000000000−2i2i002-200
χ37444444-4-400-40000000000000020-20-200200000000000000
χ38444444-4-400-400000000000000-2020200-200000000000000
χ394444-4-4-4-4004000000000000002020-200-200000000000000
χ404444-4-4-4-400400000000000000-20-20200200000000000000
χ414-44-4004-4440-4-4-4400000000000000000000000000000000
χ424-44-4004-4-4-4044-4400000000000000000000000000000000
χ4388-8-80000000000000000004i−4i00000000000000000000000
χ4488-8-8000000000000000000−4i4i00000000000000000000000
χ458-88-800-88000000000000000000000000000000000000000
χ468-8-888-800000000000000000000000000000000000000000
χ478-8-88-8800000000000000000000000000000000000000000

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