Finite Group Databasebeta

← Group #502676

Character table — Group #502676

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222244444448888888881616161616161616161616161616161616161616163232
order12222244444444422244444424444444444448888888888
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ3111111111111111111111111-1-11-111-1111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1
χ5111111111111111111-1-1-1-1-1-111-111-111-11-11-11111-1-1-1-1-1-1
χ6111111111111111111-1-1-1-1-1-111-11-111-11-11-11-1-1-1-11111-1-1
χ7111111111111111111-1-1-1-1-1-1-1-1-1-11-1-11-11-11-1-1-1-1-1111111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-11-11-111111-1-1-1-111
χ9111111-1-111-11111-1-1-11111-1-11-1-1-11-11-11-111-111-1-111-1-11-1
χ10111111-1-111-11111-1-1-11111-1-11-1-1-1-1111-11-1-11-1-111-1-1111-1
χ11111111-1-111-11111-1-1-11111-1-1-11-111-1-1-11-111-1-1-111-1-111-11
χ12111111-1-111-11111-1-1-11111-1-1-11-11-11-11-11-1-1111-1-111-1-1-11
χ13111111-1-111-11111-1-1-1-1-1-1-1111-11-1111-1-1-1-11111-1-1-1-111-11
χ14111111-1-111-11111-1-1-1-1-1-1-1111-11-1-1-111111-1-1-1-11111-1-1-11
χ15111111-1-111-11111-1-1-1-1-1-1-111-111111-1-1-1-1-111-1-11111-1-11-1
χ16111111-1-111-11111-1-1-1-1-1-1-111-1111-1-1-11111-1-111-1-1-1-1111-1
χ17222222222-22-2-22-22-2-20000000000020020-20-20000000000
χ18222222222-22-2-22-22-2-200000000000-200-202020000000000
χ1922222222-222-2-2-22-22-2000000000020020-20-200000000000
χ2022222222-222-2-2-22-22-20000000000-200-2020200000000000
χ2122222222-2-2222-2-2-2-2222-2-2-2-200200000000000000000000
χ2222222222-2-2222-2-2-2-22-2-2222200-200000000000000000000
χ23222222-2-22-2-2-2-22-2-22200000000000200-2020-20000000000
χ24222222-2-22-2-2-2-22-2-22200000000000-20020-2020000000000
χ25222222-2-2-22-2-2-2-222-220000000000200-2020-200000000000
χ26222222-2-2-22-2-2-2-222-220000000000-20020-20200000000000
χ27222222-2-2-2-2-222-2-222-222-2-22200-200000000000000000000
χ28222222-2-2-2-2-222-2-222-2-2-222-2-200200000000000000000000
χ292-2-222-2002-202-2-220002i−2i2i−2i000000000000000002-2002i−2i00
χ302-2-222-2002-202-2-220002i−2i2i−2i00000000000000000-2200−2i2i00
χ312-2-222-2002-202-2-22000−2i2i−2i2i000000000000000002-200−2i2i00
χ322-2-222-2002-202-2-22000−2i2i−2i2i00000000000000000-22002i−2i00
χ332-2-222-200-2202-22-20002i−2i−2i2i0000000000000002i−2i002-20000
χ342-2-222-200-2202-22-20002i−2i−2i2i000000000000000−2i2i00-220000
χ352-2-222-200-2202-22-2000−2i2i2i−2i0000000000000002i−2i00-220000
χ362-2-222-200-2202-22-2000−2i2i2i−2i000000000000000−2i2i002-20000
χ374444-4-44400-40000000000000220-200-20000000000000000
χ384444-4-44400-40000000000000-2-2020020000000000000000
χ394444-4-4-4-400400000000000002-20200-20000000000000000
χ404444-4-4-4-40040000000000000-220-20020000000000000000
χ414-4-444-400440-44-4-400000000000000000000000000000000
χ424-4-444-400-4-40-444400000000000000000000000000000000
χ4388-8-80000000000000000004-400000000000000000000000
χ4488-8-8000000000000000000-4400000000000000000000000
χ458-88-8008i−8i000000000000000000000000000000000000000
χ468-88-800−8i8i000000000000000000000000000000000000000
χ478-8-88-8800000000000000000000000000000000000000000

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