Finite Group Databasebeta

← Group #263956

Character table — Group #263956

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111222222444444444488888888888881616161616161616161616161616161616163232
order12224444442444888888244488888888822444444448888888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-11-1-11-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11-1-1-1-111-111-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ511111111111111111111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ611111111111111111111-1-1-1-1111111111-1-1-111-1-1-111-1-1-1-11111-1-1
χ711111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1111-1-1-1-1111111-1-1
χ811111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-111-1-111-1-1-1-111
χ911111111111111-1-1-1-1-1-111111111-1-1-1-1-11111-11-1-11-1-1-1-1-111-1-11-1
χ1011111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-11-11111-11-1-1-1-1-1-111-11
χ1111111111111111-1-1-1-1-1-11111-1-1-1-1-1111111-11-1-1-1-11-1-1-111-1-111-11
χ1211111111111111-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-11-111-11-1-11111-1-11-1
χ1311111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-11-1-1-1-111111-1-1111-1
χ1411111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-1111111-1-1-11
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-1-1111-1-111-1-1-11
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11111-111-1-1-1-1111-1
χ172222222-2-22-2-2-220000002-2-2222-2-20000000200-200000000000000
χ182222222-2-22-2-2-220000002-2-22-2-2220000000-200200000000000000
χ192222222-2-22-2-2-22000000-222-222-2-20000000-200200000000000000
χ202222222-2-22-2-2-22000000-222-2-2-2220000000200-200000000000000
χ2122222-2-2222-22-2-222-2-22200000000-2000000022000-2-20000000000
χ2222222-2-2222-22-2-222-2-22200000000-20000000-2-2000220000000000
χ2322222-2-2222-22-2-2-2-222-2-200000000200000002-2000-220000000000
χ2422222-2-2222-22-2-2-2-222-2-20000000020000000-220002-20000000000
χ252222-22222-2-2-22-222-2-2-2-22-22-20000200000000000000-2200000000
χ262222-22222-2-2-22-222-2-2-2-2-22-2200002000000000000002-200000000
χ272222-22222-2-2-22-2-2-222222-22-20000-2000000000000002-200000000
χ282222-22222-2-2-22-2-2-22222-22-220000-200000000000000-2200000000
χ292222-222-2-2-222-2-200000022-2-2000002i2i−2i−2i0000000000002i−2i000000
χ302222-222-2-2-222-2-200000022-2-200000−2i−2i2i2i000000000000−2i2i000000
χ312222-222-2-2-222-2-2000000-2-222000002i2i−2i−2i000000000000−2i2i000000
χ322222-222-2-2-222-2-2000000-2-22200000−2i−2i2i2i0000000000002i−2i000000
χ332222-2-2-222-22-2-222222-2-200000000-200002-200002-2000000000000
χ342222-2-2-222-22-2-222222-2-200000000-20000-220000-22000000000000
χ352222-2-2-222-22-2-22-2-2-2-22200000000200002-20000-22000000000000
χ362222-2-2-222-22-2-22-2-2-2-2220000000020000-2200002-2000000000000
χ3744444-4-4-4-444-44-4000000000000000000000000000000000000000
χ384444-4-4-4-4-4-4-4444000000000000000000000000000000000000000
χ394-44-4000-4400000004i−4i000000000000000000000000000002i−2i2-200
χ404-44-4000-4400000004i−4i00000000000000000000000000000−2i2i-2200
χ414-44-4000-440000000−4i4i000000000000000000000000000002i−2i-2200
χ424-44-4000-440000000−4i4i00000000000000000000000000000−2i2i2-200
χ434-4-4440000-4000022−220022−2200002i2−2i20002i−2i2i−2i00000000000000000000
χ444-4-4440000-4000022−220022−220000−2i22i2000−2i2i−2i2i00000000000000000000
χ454-4-4440000-40000−222200−222200002i2−2i2000−2i2i−2i2i00000000000000000000
χ464-4-4440000-40000−222200−22220000−2i22i20002i−2i2i−2i00000000000000000000
χ474-4-44-400004000022−2200−222200000022−2202-2-2200000000000000000000
χ484-4-44-400004000022−2200−2222000000−22220-222-200000000000000000000
χ494-4-44-4000040000−22220022−2200000022−220-222-200000000000000000000
χ504-4-44-4000040000−22220022−22000000−222202-2-2200000000000000000000
χ5188-8-808-80000000000000000000000000000000000000000000000
χ5288-8-80-880000000000000000000000000000000000000000000000
χ538-88-80008-800000000000000000000000000000000000000000000

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