Finite Group Databasebeta

← Group #500554

Character table — Group #500554

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122444444444488888888888888888816161616161616161616161632323232
order12222244444444442244444444444444442444444488888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-11-1-1-11-1-11111-1-1-1-1
χ311111111111111111111-1-1111111-1-111-1-11-11-1-1-11-1-1-1-1-111-1-1
χ411111111111111111111-1-1111111-1-1-1-111-1-1-111-1-11-1-1-1-1-1-111
χ51111111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ61111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-11-1-1-11-1-1-1-1-1-11111
χ71111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-11-11-1-1-11-11111-1-111
χ81111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-111-1-11111111-1-1
χ9111111-1-111-1-1111111-1-111-1-111-1-11111111-1-11-1-1-1-111-1-11-11-1
χ10111111-1-111-1-1111111-1-111-1-111-1-111-1-1-1-1-1-11-11-11111-1-1-11-11
χ11111111-1-111-1-1111111-1-1-1-1-1-111-1-1-1-111-1-111-1-111-11-1-1111-1-11
χ12111111-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111-1111-111-1-1-111-111-1
χ13111111-1-111-1-11111-1-11111-1-1-1-1111111111-1-11-1-1-1-1-1-111-11-11
χ14111111-1-111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-11-11-111-1-1111-11-1
χ15111111-1-111-1-11111-1-111-1-1-1-1-1-111-1-111-1-111-1-111-1111-1-1-111-1
χ16111111-1-111-1-11111-1-111-1-1-1-1-1-111-1-1-1-111-1111-111-111-1-11-1-11
χ17222222222-2-2-2-2-22-20000002-20000000022000-2-200200000000
χ18222222222-2-2-2-2-22-20000002-200000000-2-20002200-200000000
χ1922222222-22-2-2-2-2-22000000-220000002200-20-20002000000000
χ2022222222-22-2-2-2-2-22000000-22000000-2-200202000-2000000000
χ2122222222-2-22222-2-2000022-2-20000-2-2000002000-20000000000
χ2222222222-2-22222-2-20000-2-2-2-200002200000-200020000000000
χ23222222-2-22-222-2-22-2000000-220000000022000-2200-200000000
χ24222222-2-22-222-2-22-2000000-2200000000-2-20002-200200000000
χ25222222-2-2-2222-2-2-220000002-20000002200-202000-2000000000
χ26222222-2-2-2222-2-2-220000002-2000000-2-20020-20002000000000
χ27222222-2-2-2-2-2-222-2-2000022220000-2-200000-200020000000000
χ28222222-2-2-2-2-2-222-2-20000-2-222000022000002000-20000000000
χ292-22-22-2002-2002-2-222-2002i−2i002-2002i−2i0000000000002i−2i000000
χ302-22-22-2002-2002-2-222-200−2i2i002-200−2i2i000000000000−2i2i000000
χ312-22-22-2002-2002-2-22-22002i−2i00-22002i−2i000000000000−2i2i000000
χ322-22-22-2002-2002-2-22-2200−2i2i00-2200−2i2i0000000000002i−2i000000
χ332-22-22-200-22002-22-2002i−2i2i−2i00002i−2i−2i2i000000000000002-20000
χ342-22-22-200-22002-22-2002i−2i−2i2i00002i−2i2i−2i00000000000000-220000
χ352-22-22-200-22002-22-200−2i2i2i−2i0000−2i2i−2i2i00000000000000-220000
χ362-22-22-200-22002-22-200−2i2i−2i2i0000−2i2i2i−2i000000000000002-20000
χ374444-4-44-40000000022220000-2-2-2-20000000000000000000000
χ384444-4-44-400000000-2-2-2-2000022220000000000000000000000
χ394444-4-4-440000000022-2-20000-2-2220000000000000000000000
χ404444-4-4-4400000000-2-222000022-2-20000000000000000000000
χ414-44-44-4004400-44-4-40000000000000000000000000000000000
χ424-44-44-400-4-400-44440000000000000000000000000000000000
χ434-44-4-4400004i−4i00002-22i−2i0000-22−2i2i0000000000000000000000
χ444-44-4-4400004i−4i0000-22−2i2i00002-22i−2i0000000000000000000000
χ454-44-4-440000−4i4i00002-2−2i2i0000-222i−2i0000000000000000000000
χ464-44-4-440000−4i4i0000-222i−2i00002-2−2i2i0000000000000000000000
χ4788-8-800000000000000000000000000004-40000000000000000
χ4888-8-80000000000000000000000000000-440000000000000000
χ498-8-88000000000000000000000000004i−4i000000000000000000
χ508-8-8800000000000000000000000000−4i4i000000000000000000

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