Finite Group Databasebeta

← Group #250042

Character table — Group #250042

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222444488888888888888881616161616161616161616161616161616163232
order12224444442444244444448888888822444444448888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-11-11-11111-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-11111-11-1111-1-111-1-1-1-1-1-111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111
χ511111111111111111-1-11-1-111-1-111111-1-1-1-1-11-1-1-11-111-1-1111-1
χ611111111111111111-1-11-1-111-1-1-1-1-1-111-11-1-11-1111-1-1-111-1-1-11
χ711111111111111111-1-11-1-1-1-1111111-1-11-1-1-1-11-1-1-11-1-11111-11
χ811111111111111111-1-11-1-1-1-111-1-1-1-1-1111-1-1-1111-1111-1-1-1-11-1
χ911111111111111-1-1-111-11111111111-11-11-1-1-1-1-1-1111111-1-1-1-1
χ1011111111111111-1-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1111111111111111-1-1-111-111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-111
χ1211111111111111-1-1-111-111-1-1-1-1-1-1-1-11-11-1-1-11111-1-1111111-1-1
χ1311111111111111-1-1-1-1-1-1-1-111-1-11111-1-11-111-11111-111-1-1-1-1-11
χ1411111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111-11-1-11-1-1-111111-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1111-111-11-1-111-1-11-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-11111-1-1-1-1111-1-111-11
χ17222222-2-222-2-2-22000220-2-2000022-2-2020-20000000000000000
χ18222222-2-222-2-2-22000220-2-20000-2-2220-2020000000000000000
χ19222222-2-222-2-2-22000-2-2022000022-2-20-2020000000000000000
χ20222222-2-222-2-2-22000-2-20220000-2-222020-20000000000000000
χ2122222-2222-2-2-22-22-2200-20022000000-2000002000-2000000000
χ2222222-2222-2-2-22-22-2200-200-2-2000000200000-20002000000000
χ2322222-2222-2-2-22-2-22-20020022000000200000-2000-2000000000
χ2422222-2222-2-2-22-2-22-200200-2-2000000-20000020002000000000
χ252222-2222-22-22-2-22-2-200200002200000020000-2000-200000000
χ262222-2222-22-22-2-22-2-20020000-2-2000000-200002000200000000
χ272222-2222-22-22-2-2-22200-2000022000000-200002000-200000000
χ282222-2222-22-22-2-2-22200-20000-2-200000020000-2000200000000
χ292222-2-222-2-22-2-2222-22-2-22-20000000000002-200000000000000
χ302222-2-222-2-22-2-2222-2-22-2-22000000000000-2200000000000000
χ312222-2-222-2-22-2-22-2-222-222-2000000000000-2200000000000000
χ322222-2-222-2-22-2-22-2-22-222-220000000000002-200000000000000
χ332222-2-2-2-2-2-2-22220002-20-2200000000000000002-20000002-200
χ342222-2-2-2-2-2-2-22220002-20-220000000000000000-22000000-2200
χ352222-2-2-2-2-2-2-2222000-2202-200000000000000002-2000000-2200
χ362222-2-2-2-2-2-2-2222000-2202-20000000000000000-220000002-200
χ3744444-4-4-44-444-4-4000000000000000000000000000000000000
χ384444-44-4-4-444-44-4000000000000000000000000000000000000
χ394-44-4-4000400000000000002i2−2i200002i2−2i20000000000002-2000000
χ404-44-4-4000400000000000002i2−2i20000−2i22i2000000000000-22000000
χ414-44-4-400040000000000000−2i22i200002i2−2i2000000000000-22000000
χ424-44-4-400040000000000000−2i22i20000−2i22i20000000000002-2000000
χ434-4-4404000-4000000000000002i2−2i22i2−2i200000000000000002-20000
χ444-4-4404000-4000000000000002i2−2i2−2i22i20000000000000000-220000
χ454-4-4404000-400000000000000−2i22i22i2−2i20000000000000000-220000
χ464-4-4404000-400000000000000−2i22i2−2i22i200000000000000002-20000
χ4788-8-8008-8000000000000000000000000000000000000000000
χ4888-8-800-88000000000000000000000000000000000000000000
χ498-88-88000-800000000000000000000000000000000000000000
χ508-8-880-800080000000000000000000000000000000000000000

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