Finite Group Databasebeta

← Group #254459

Character table — Group #254459

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222444488888888888888881616161616161616161616161616161616163232
order12222222224444244444444444444422444444448888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-11-1-1-1-111-1-111-11111-1-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111-1-11-1-1-1-111-1-1-1-1-11-1-11-1-1-111111111-1-1
χ511111111111111111-1-1111-1-1-1-1-1-1-1-1111-111-111-11111-1-1-1-1-1-1
χ611111111111111111-1-1111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1111111
χ711111111111111111-1-1-1-111111-1-11111-1-111-1-1-11-1-1-1-11111-1-1
χ811111111111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-111111-1-1-1-111
χ911111111111111-1-1-11111-1-1-1-1-1-1-1111-1111-1-1-1-1111-1-111-1-11-1
χ1011111111111111-1-1-11111-1-1-1-1-1-1-111-1111-11-1-1-11-1-111-1-111-11
χ1111111111111111-1-1-111-1-1-11111-1-1-1-11-1-111-1-111-1-1-111-1-1111-1
χ1211111111111111-1-1-111-1-1-11111-1-1-1-1-11-11-11-111-111-1-111-1-1-11
χ1311111111111111-1-1-1-1-111-1111111-1-11-11-11-11-1-1-111-1-1-1-111-11
χ1411111111111111-1-1-1-1-111-1111111-1-1-111-1-111-1-1-1-1-11111-1-11-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-11-11111-1-11111-1-1-11
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-11111111-1-1-1-1111-1
χ172222222222-2-2-2-22-2-2220020000-2-200000-20020000000000000
χ182222222222-2-2-2-22-2-2-2-200200002200000200-20000000000000
χ192222222222-2-2-2-2-2222200-200002200000-200-20000000000000
χ202222222222-2-2-2-2-222-2-200-20000-2-20000020020000000000000
χ2122222-22-2-2-222-2-2000000002i2i−2i−2i000002000-2000000002i−2i0000
χ2222222-22-2-2-222-2-2000000002i2i−2i−2i00000-2000200000000−2i2i0000
χ2322222-22-2-2-222-2-200000000−2i−2i2i2i000002000-200000000−2i2i0000
χ2422222-22-2-2-222-2-200000000−2i−2i2i2i00000-20002000000002i−2i0000
χ252222-22-22-2-22-22-2000000002i−2i2i−2i00002000-2000000000002i−2i00
χ262222-22-22-2-22-22-2000000002i−2i2i−2i0000-2000200000000000−2i2i00
χ272222-22-22-2-22-22-200000000−2i2i−2i2i00002000-200000000000−2i2i00
χ282222-22-22-2-22-22-200000000−2i2i−2i2i0000-20002000000000002i−2i00
χ292222-2-2-2-2222-2-2222-20000-22-2-220022000000000-20000000000
χ302222-2-2-2-2222-2-2222-20000-2-222-200-2-200000000020000000000
χ312222-2-2-2-2222-2-22-2-22000022-2-2200-2-200000000020000000000
χ322222-2-2-2-2222-2-22-2-2200002-222-20022000000000-20000000000
χ332222-2-2-2-222-222-22-220022-20000000000-200002-200000000000
χ342222-2-2-2-222-222-22-2200-2-2-2000000000020000-2200000000000
χ352222-2-2-2-222-222-2-22-2002220000000000-20000-2200000000000
χ362222-2-2-2-222-222-2-22-200-2-220000000000200002-200000000000
χ3744444-44-4-4-4-4-444000000000000000000000000000000000000
χ384444-44-44-4-4-44-44000000000000000000000000000000000000
χ394-4-4444-4-4-4400000004i−4i0000000000000000000000000000000
χ404-4-4444-4-4-440000000−4i4i0000000000000000000000000000000
χ414-4-444-4-444-40000000000000000000000000000002i2−2i200000000
χ424-4-444-4-444-4000000000000000000000000000000−2i22i200000000
χ434-4-44-444-44-4000000000000000000000000000000002i2−2i2000000
χ444-4-44-444-44-400000000000000000000000000000000−2i22i2000000
χ454-4-44-4-444-4400000000000000004-40000000000000000000000
χ464-4-44-4-444-440000000000000000-440000000000000000000000
χ4788-8-80000000000000004i−4i00000000000000000000000000000
χ4888-8-8000000000000000−4i4i00000000000000000000000000000
χ498-88-80000000000000000000000004i−4i00000000000000000000
χ508-88-8000000000000000000000000−4i4i00000000000000000000

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