Finite Group Databasebeta

← Group #500786

Character table — Group #500786

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222244444444488888888888888881616161616161616161616161632323232
order12222244444444444224444444444444422444444488888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111-1-1-1-1-1-11-1-11-111-1-1-1-1-1-111-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-11-1-11-1-111-1-1-1-1-1-111
χ511111111111111111-1-1-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1
χ611111111111111111-1-1-1-111-1-1-1-1111111-1-11-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-11-111-1-11111-1-111
χ811111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111111111-1-1
χ9111111-1-1-1-1-111111111-1-1-1-1-1-11111-1-1111-1-1-111-11-111-1-11-11-1
χ10111111-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-11-11-1-11-1111-1-1-11-11
χ11111111-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1111-1-11-1-11-1-1111-1-11
χ12111111-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1111-111-1-1-111-111-1
χ13111111-1-1-1-1-1111111-1-111-1-111-1-111-1-1111-1-1-111-11-1-1-111-11-11
χ14111111-1-1-1-1-1111111-1-111-1-111-1-111-1-111-11-11-1-11-11-1-1111-11-1
χ15111111-1-1-1-1-1111111-1-111-1-111-1-1-1-111-1-1111-1-11-1-1111-1-1-111-1
χ16111111-1-1-1-1-1111111-1-111-1-111-1-1-1-111-1-1-1-1111-111-111-1-11-1-11
χ1722222222222-2-222-2-20000-2-2000022-2-2-2-200200000000000000
χ1822222222222-2-222-2-20000-2-20000-2-2222200-200000000000000
χ19222222222-2-22-2-2-22-200002-200000000000200200-2-200000000
χ20222222222-2-22-2-2-22-200002-200000000000-200-2002200000000
χ21222222222-2-2-22-2-2-220000-22000000000020020-2-20000000000
χ22222222222-2-2-22-2-2-220000-220000000000-200-20220000000000
χ23222222-2-2-2222-2-2-22-20000-2200000000000200-2002-200000000
χ24222222-2-2-2222-2-2-22-20000-2200000000000-200200-2200000000
χ25222222-2-2-222-22-2-2-2200002-20000000000200-20-220000000000
χ26222222-2-2-222-22-2-2-2200002-20000000000-200202-20000000000
χ27222222-2-2-2-2-2-2-222-2-200002200002222-2-200-200000000000000
χ28222222-2-2-2-2-2-2-222-2-20000220000-2-2-2-22200200000000000000
χ292-2-22-2200000222-2-2-2002i−2i002i−2i002-2002-2000000000002i−2i0000
χ302-2-22-2200000222-2-2-2002i−2i002i−2i00-2200-2200000000000−2i2i0000
χ312-2-22-2200000222-2-2-200−2i2i00−2i2i002-2002-200000000000−2i2i0000
χ322-2-22-2200000222-2-2-200−2i2i00−2i2i00-2200-22000000000002i−2i0000
χ332-2-22-2200000-2-22-2222-20000002-22-200-220000000002-2000000
χ342-2-22-2200000-2-22-2222-20000002-2-22002-2000000000-22000000
χ352-2-22-2200000-2-22-222-22000000-222-200-22000000000-22000000
χ362-2-22-2200000-2-22-222-22000000-22-22002-20000000002-2000000
χ374444-4-444-400000000222200-2-2-2-200000000000000000000000
χ384444-4-444-400000000-2-2-2-200222200000000000000000000000
χ394444-4-4-4-440000000022-2-20022-2-200000000000000000000000
χ404444-4-4-4-4400000000-2-22200-2-22200000000000000000000000
χ414-4-444-40004i−4i0000002-22i−2i00−2i2i-2200000000000000000000000
χ424-4-444-40004i−4i000000-22−2i2i002i−2i2-200000000000000000000000
χ434-4-444-4000−4i4i0000002-2−2i2i002i−2i-2200000000000000000000000
χ444-4-444-4000−4i4i000000-222i−2i00−2i2i2-200000000000000000000000
χ454-4-44-44000004-4-44-44000000000000000000000000000000000
χ464-4-44-4400000-44-444-4000000000000000000000000000000000
χ4788-8-800000000000000000000000004-40000000000000000000
χ4888-8-80000000000000000000000000-440000000000000000000
χ498-88-8008i−8i000000000000000000000000000000000000000000
χ508-88-800−8i8i000000000000000000000000000000000000000000

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