Finite Group Databasebeta

← Group #500064

Character table — Group #500064

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122444444444488888888888888888816161616161616161616161632323232
order12222222224444442222244444444444442444444444444488
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-11-1-1-1-11-11111-1-1-1-1
χ3111111111111111111111-1-11111111-1-1-1-1-1-11-11-1-11-1-1-1-111-1-1
χ4111111111111111111111-1-111111-1-1-1-1111-1-11-11-1-1-1-1-1-1-1-111
χ511111111111111111-1-1-1-1111-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ611111111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-11-1-1-1-11-1-1-1-1-11111
χ711111111111111111-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-11-11-1-111111-1-111
χ811111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111-1-11-11-1-1111111-1-1
χ91111111111-1-1-1-111-111-1-111-111-1-1111111-1-1-111-1-1-111-1-11-11-1
χ101111111111-1-1-1-111-111-1-111-111-1-1-1-111-1-11-11-1-11-1111-1-1-11-11
χ111111111111-1-1-1-111-111-1-1-1-1-111-1-111-1-1-1-111-1-1111-1-1-1111-1-11
χ121111111111-1-1-1-111-111-1-1-1-1-111-1-1-1-1-1-111-1111-1-111-1-111-111-1
χ131111111111-1-1-1-111-1-1-11111-1-1-111111111-1-1-111-1-1-1-1-111-11-11
χ141111111111-1-1-1-111-1-1-11111-1-1-111-1-111-1-11-11-1-11-11-1-1111-11-1
χ151111111111-1-1-1-111-1-1-111-1-1-1-1-11111-1-1-1-111-1-1111-111-1-1-111-1
χ161111111111-1-1-1-111-1-1-111-1-1-1-1-111-1-1-1-111-1111-1-11111-1-11-1-11
χ172222222-2-222222-2-2-2000022-2000000-2-200020000-2000000000
χ182222222-2-222222-2-2-20000-2-2-200000022000-200002000000000
χ192222222-2-22-2-2-2-2-2-220000222000000-2-2000-200002000000000
χ202222222-2-22-2-2-2-2-2-220000-2-220000002200020000-2000000000
χ21222222-222-222-2-2-2-22000000-2000022000000-20-200200000000
χ22222222-222-222-2-2-2-22000000-20000-2-200000020200-200000000
χ23222222-222-2-2-222-2-2-2000000200002200000020-200-200000000
χ24222222-222-2-2-222-2-2-200000020000-2-2000000-20200200000000
χ25222222-2-2-2-222-2-222-200000020000000022200-20-20000000000
χ26222222-2-2-2-222-2-222-2000000200000000-2-2-2002020000000000
χ27222222-2-2-2-2-2-222222000000-20000000022-200-2020000000000
χ28222222-2-2-2-2-2-222222000000-200000000-2-220020-20000000000
χ292-2-222-222-2-200002-20002-22i−2i0002-2002i−2i0000000000002i−2i0000
χ302-2-222-222-2-200002-20002-2−2i2i0002-200−2i2i000000000000−2i2i0000
χ312-2-222-222-2-200002-2000-222i−2i000-22002i−2i000000000000−2i2i0000
χ322-2-222-222-2-200002-2000-22−2i2i000-2200−2i2i0000000000002i−2i0000
χ332-2-222-22-22-20000-2202-2002i−2i02-20000−2i2i00000000002i−2i000000
χ342-2-222-22-22-20000-2202-200−2i2i02-200002i−2i0000000000−2i2i000000
χ352-2-222-22-22-20000-220-22002i−2i0-220000−2i2i0000000000−2i2i000000
χ362-2-222-22-22-20000-220-2200−2i2i0-2200002i−2i00000000002i−2i000000
χ374444-4-40000004-40002222000-2-2-2-20000000000000000000000
χ384444-4-40000004-4000-2-2-2-200022220000000000000000000000
χ394444-4-4000000-4400022-2-2000-2-2220000000000000000000000
χ404444-4-4000000-44000-2-22200022-2-20000000000000000000000
χ414-4-444-4-44-440000-440000000000000000000000000000000000
χ424-4-444-4-4-44400004-40000000000000000000000000000000000
χ434-4-44-4400004-4000002-22-2000-22-220000000000000000000000
χ444-4-44-4400004-400000-22-220002-22-20000000000000000000000
χ454-4-44-440000-44000002-2-22000-222-20000000000000000000000
χ464-4-44-440000-4400000-222-20002-2-220000000000000000000000
χ4788-8-800000000000000000000000000004i−4i0000000000000000
χ4888-8-80000000000000000000000000000−4i4i0000000000000000
χ498-88-80000000000000000000000004i−4i00000000000000000000
χ508-88-8000000000000000000000000−4i4i00000000000000000000

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