Finite Group Databasebeta

← Group #500026

Character table — Group #500026

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222244444444488888888888888881616161616161616161616161632323232
order12222244224444444222222444444444424444444488888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-11-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111-1-11111-1-1-1-11-11-1-11-11-1-1-1-1-111-1-1
χ411111111111111111111111-1-11111-1-1-1-1-1-1-111-11-11-1-1-1-1-1-111
χ51111111111111111111-1-1-1-111-1-1-1-11111111111111-1-1-1-1-1-1-1-1
χ61111111111111111111-1-1-1-111-1-1-1-11111-11-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11-11-11111-1-111
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11111111-1-1
χ9111111-1-1-1-11-111111-1-111-1-11111-1-111-1-11-1-11-11-1-1111-1-11-11-1
χ10111111-1-1-1-11-111111-1-111-1-11111-1-111-1-1-1-11-11-111-111-1-1-11-11
χ11111111-1-1-1-11-111111-1-111-1-1-1-111-1-1-1-11111-1-1111-1-1-1-1111-1-11
χ12111111-1-1-1-11-111111-1-111-1-1-1-111-1-1-1-111-1111-1-1-111-1-111-111-1
χ13111111-1-1-1-11-111111-1-1-1-11111-1-11111-1-11-1-11-11-1-11-1-111-11-11
χ14111111-1-1-1-11-111111-1-1-1-11111-1-11111-1-1-1-11-11-111-1-1-1111-11-1
χ15111111-1-1-1-11-111111-1-1-1-111-1-1-1-111-1-11111-1-1111-1-111-1-1-111-1
χ16111111-1-1-1-11-111111-1-1-1-111-1-1-1-111-1-111-1111-1-1-11111-1-11-1-11
χ17222222222222-2-2-2-22-2-20000220000-2-2-2-202000000000000000
χ18222222222222-2-2-2-22-2-20000-2-2000022220-2000000000000000
χ1922222222-2-2-2222-2-2-22-200000000000000000220-20-200000000
χ2022222222-2-2-2222-2-2-22-200000000000000000-2-2020200000000
χ2122222222-2-2-22-2-222-2-220000000000000020200-20-2000000000
χ2222222222-2-2-22-2-222-2-2200000000000000-20-200202000000000
χ23222222-2-222-2-222-2-2-2-22000000000000000002-2020-200000000
χ24222222-2-222-2-222-2-2-2-2200000000000000000-220-20200000000
χ25222222-2-222-2-2-2-222-22-20000000000000020-200-202000000000
χ26222222-2-222-2-2-2-222-22-200000000000000-2020020-2000000000
χ27222222-2-2-2-22-2-2-2-2-22220000220000-2-2220-2000000000000000
χ28222222-2-2-2-22-2-2-2-2-22220000-2-2000022-2-202000000000000000
χ292-2-222-20000202-22-2-200002-22i−2i002-22i−2i00000000000002i−2i0000
χ302-2-222-20000202-22-2-200002-2−2i2i002-2−2i2i0000000000000−2i2i0000
χ312-2-222-20000202-22-2-20000-222i−2i00-222i−2i0000000000000−2i2i0000
χ322-2-222-20000202-22-2-20000-22−2i2i00-22−2i2i00000000000002i−2i0000
χ332-2-222-2000020-22-22-2002-2002i−2i2-200−2i2i000000000002i−2i000000
χ342-2-222-2000020-22-22-2002-200−2i2i2-2002i−2i00000000000−2i2i000000
χ352-2-222-2000020-22-22-200-22002i−2i-2200−2i2i00000000000−2i2i000000
χ362-2-222-2000020-22-22-200-2200−2i2i-22002i−2i000000000002i−2i000000
χ374444-4-444000-4000000022-2-200-2-222000000000000000000000
χ384444-4-444000-40000000-2-2220022-2-2000000000000000000000
χ394444-4-4-4-400040000000222200-2-2-2-2000000000000000000000
χ404444-4-4-4-400040000000-2-2-2-2002222000000000000000000000
χ414-4-444-40000-404-4-444000000000000000000000000000000000
χ424-4-444-40000-40-444-44000000000000000000000000000000000
χ434-4-44-44004-40000000002-22-200-22-22000000000000000000000
χ444-4-44-44004-4000000000-22-22002-22-2000000000000000000000
χ454-4-44-4400-440000000002-2-2200-222-2000000000000000000000
χ464-4-44-4400-44000000000-222-2002-2-22000000000000000000000
χ4788-8-80000000000000000000000000004i−4i00000000000000000
χ4888-8-8000000000000000000000000000−4i4i00000000000000000
χ498-88-8008i−8i000000000000000000000000000000000000000000
χ508-88-800−8i8i000000000000000000000000000000000000000000

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