Finite Group Databasebeta

← Group #500042

Character table — Group #500042

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122444444444488888888888888888816161616161616161616161632323232
order12222222444444442222224444444444442244444488888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-1-11-1-11-11111-1-1-1-1
χ31111111111111111111111-1-1111111-1-1-1-11-1-1-11-1-11-1-1-1-111-1-1
χ41111111111111111111111-1-11111-1-1-1-111-111-1-11-1-1-1-1-1-1-1-111
χ5111111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-11-1-11-1-1-1-1-11111
χ7111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-11-1-111111-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11-1-1111111-1-1
χ9111111-1-11-1-111111-1-111-1-11111-1-11111111-11-1-1-1-1-111-1-11-11-1
χ10111111-1-11-1-111111-1-111-1-11111-1-1-1-111-1-1-11-1-111-1111-1-1-11-11
χ11111111-1-11-1-111111-1-111-1-1-1-111-1-111-1-1-1-111-11-111-1-1-1111-1-11
χ12111111-1-11-1-111111-1-111-1-1-1-111-1-1-1-1-1-111-1-1111-111-1-111-111-1
χ13111111-1-11-1-111111-1-1-1-11111-1-1111111111-11-1-1-1-1-1-1-111-11-11
χ14111111-1-11-1-111111-1-1-1-11111-1-111-1-111-1-1-11-1-111-11-1-1111-11-1
χ15111111-1-11-1-111111-1-1-1-111-1-1-1-11111-1-1-1-111-11-111-111-1-1-111-1
χ16111111-1-11-1-111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1111-11111-1-11-1-11
χ1722222222222-2-2-2-22-2-2000022000000-2-200000200-2000000000
χ1822222222222-2-2-2-22-2-20000-2-20000002200000-2002000000000
χ1922222222-2-2-222-2-2-22-2000000000000002202-200-20000000000
χ2022222222-2-2-222-2-2-22-200000000000000-2-20-220020000000000
χ2122222222-2-2-2-2-222-2-220000000000220000-2000200-200000000
χ2222222222-2-2-2-2-222-2-220000000000-2-200002000-200200000000
χ23222222-2-22-2-2-2-2-2-2222000022000000-2-200000-2002000000000
χ24222222-2-22-2-2-2-2-2-22220000-2-20000002200000200-2000000000
χ25222222-2-2-22222-2-2-2-2200000000000000220-2-20020000000000
χ26222222-2-2-22222-2-2-2-2200000000000000-2-202200-20000000000
χ27222222-2-2-222-2-222-22-20000000000220000-2000-200200000000
χ28222222-2-2-222-2-222-22-20000000000-2-200002000200-200000000
χ292-2-222-2002002-22-2-200002-22i−2i002-2002i−2i0000000000002i−2i0000
χ302-2-222-2002002-22-2-200002-2−2i2i002-200−2i2i000000000000−2i2i0000
χ312-2-222-2002002-22-2-20000-222i−2i00-22002i−2i000000000000−2i2i0000
χ322-2-222-2002002-22-2-20000-22−2i2i00-2200−2i2i0000000000002i−2i0000
χ332-2-222-200200-22-22-2002-2002i−2i2-20000−2i2i00000000002i−2i000000
χ342-2-222-200200-22-22-2002-200−2i2i2-200002i−2i0000000000−2i2i000000
χ352-2-222-200200-22-22-200-22002i−2i-220000−2i2i0000000000−2i2i000000
χ362-2-222-200200-22-22-200-2200−2i2i-2200002i−2i00000000002i−2i000000
χ374444-4-40004-40000000222200-2-2-2-20000000000000000000000
χ384444-4-40004-40000000-2-2-2-20022220000000000000000000000
χ394444-4-4000-44000000022-2-200-2-2220000000000000000000000
χ404444-4-4000-440000000-2-2220022-2-20000000000000000000000
χ414-4-444-400-4004-4-4440000000000000000000000000000000000
χ424-4-444-400-400-444-440000000000000000000000000000000000
χ434-4-44-444-400000000002-22-200-22-220000000000000000000000
χ444-4-44-444-40000000000-22-22002-22-20000000000000000000000
χ454-4-44-44-4400000000002-2-2200-222-20000000000000000000000
χ464-4-44-44-440000000000-222-2002-2-220000000000000000000000
χ4788-8-80000000000000000000000004i−4i00000000000000000000
χ4888-8-8000000000000000000000000−4i4i00000000000000000000
χ498-88-800000000000000000000000000004-40000000000000000
χ508-88-80000000000000000000000000000-440000000000000000

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