Finite Group Databasebeta

← Group #500366

Character table — Group #500366

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222244444444488888888888888881616161616161616161616161632323232
order12222244222222444444444444444444444444444488884444
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111-1-1-1-1-1-1-11-11-11-11-1-1-1-1-111-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-11-11-11-11-1-1-1-1-1-111
χ511111111111111111-1-1-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1
χ611111111111111111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11111-1-111
χ811111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11111111-1-1
χ9111111-1-1-1-111111-1111-1-1-1-111-1-11111-1-1-11-1-111-1-1111-1-11-11-1
χ10111111-1-1-1-111111-1111-1-1-1-111-1-11111-1-1-1-111-1-111-111-1-1-11-11
χ11111111-1-1-1-111111-1111-1-1-1-111-1-1-1-1-1-111111-1-111-1-1-1-1111-1-11
χ12111111-1-1-1-111111-1111-1-1-1-111-1-1-1-1-1-1111-1-111-1-111-1-111-111-1
χ13111111-1-1-1-111111-11-1-111-1-1-1-1111111-1-1-11-1-111-1-11-1-111-11-11
χ14111111-1-1-1-111111-11-1-111-1-1-1-1111111-1-1-1-111-1-111-1-1-1111-11-1
χ15111111-1-1-1-111111-11-1-111-1-1-1-111-1-1-1-111111-1-111-1-111-1-1-111-1
χ16111111-1-1-1-111111-11-1-111-1-1-1-111-1-1-1-1111-1-111-1-11111-1-11-1-11
χ172222222222-2-2-2-22220000-2-2000022-2-2-2-220000000000000000
χ182222222222-2-2-2-22220000-2-20000-2-22222-20000000000000000
χ1922222222-2-222-2-2-22-200002-20000000000002020-20-200000000
χ2022222222-2-222-2-2-22-200002-2000000000000-20-2020200000000
χ2122222222-2-2-2-222-22-20000-22000000000002020-20-2000000000
χ2222222222-2-2-2-222-22-20000-2200000000000-20-20202000000000
χ23222222-2-22222-2-2-2-2-20000-2200000000000020-20-20200000000
χ24222222-2-22222-2-2-2-2-20000-22000000000000-202020-200000000
χ25222222-2-222-2-222-2-2-200002-20000000000020-20-202000000000
χ26222222-2-222-2-222-2-2-200002-200000000000-202020-2000000000
χ27222222-2-2-2-2-2-2-2-22-22000022000022-2-222-20000000000000000
χ28222222-2-2-2-2-2-2-2-22-220000220000-2-222-2-220000000000000000
χ292-22-22-200002-22-2-202002i−2i00002i−2i2i−2i2i−2i00000000000002-20000
χ302-22-22-200002-22-2-202002i−2i00002i−2i−2i2i−2i2i0000000000000-220000
χ312-22-22-200002-22-2-20200−2i2i0000−2i2i2i−2i2i−2i0000000000000-220000
χ322-22-22-200002-22-2-20200−2i2i0000−2i2i−2i2i−2i2i00000000000002-20000
χ332-22-22-20000-22-22-2022i−2i00002i−2i002i−2i−2i2i000000000002-2000000
χ342-22-22-20000-22-22-2022i−2i00002i−2i00−2i2i2i−2i00000000000-22000000
χ352-22-22-20000-22-22-202−2i2i0000−2i2i002i−2i−2i2i00000000000-22000000
χ362-22-22-20000-22-22-202−2i2i0000−2i2i00−2i2i2i−2i000000000002-2000000
χ374444-4-4440000000-4022-2-200-2-22200000000000000000000000
χ384444-4-4440000000-40-2-2220022-2-200000000000000000000000
χ394444-4-4-4-4000000040222200-2-2-2-200000000000000000000000
χ404444-4-4-4-4000000040-2-2-2-200222200000000000000000000000
χ414-44-44-400004-4-4440-4000000000000000000000000000000000
χ424-44-44-40000-444-440-4000000000000000000000000000000000
χ434-44-4-44004-400000002i−2i2i−2i00−2i2i−2i2i00000000000000000000000
χ444-44-4-44004-40000000−2i2i−2i2i002i−2i2i−2i00000000000000000000000
χ454-44-4-4400-4400000002i−2i−2i2i00−2i2i2i−2i00000000000000000000000
χ464-44-4-4400-440000000−2i2i2i−2i002i−2i−2i2i00000000000000000000000
χ4788-8-80000000000000000000000000004-400000000000000000
χ4888-8-8000000000000000000000000000-4400000000000000000
χ498-8-88008i−8i000000000000000000000000000000000000000000
χ508-8-8800−8i8i000000000000000000000000000000000000000000

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