Finite Group Databasebeta

← Group #347142

Character table — Group #347142

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122224444444448888888888888888888888888816161616161616161616323232
order12222244222244444222222224444444444444444444444448888488
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1-1-11-1-11111111-1-1-1-1-1-1-1-111-1-1-1-111111-1-1
χ41111111111111111111-1-1-1-1-1-11-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111
χ5111111111111-1-11111-1111-1-1-1-11-111-1-1-1-1-11111-1-1-1-11111-1-111-1-1-11-1
χ6111111111111-1-11111-1111-1-1-1-11-111-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111-11
χ7111111111111-1-11111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11
χ8111111111111-1-11111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1
χ911111111-1-11111111-1111-111-11-1-1-1-11-1-1-1-111-1-111-1-1111111-1-1-1-11-1-1
χ1011111111-1-11111111-1111-111-11-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-111
χ1111111111-1-11111111-11-1-11-1-11111-1-11-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111
χ1211111111-1-11111111-11-1-11-1-11111-1-11-1-1-1-1-1-111-1-111-1-111111111-1-1-1
χ1311111111-1-111-1-1111-1-111-1-1-11-1-11-1-1-1111111-1-1-1-1111111-1-1-1-111-1-11
χ1411111111-1-111-1-1111-1-111-1-1-11-1-11-1-1-1111111-1-1-1-111-1-1-1-11111-1-111-1
χ1511111111-1-111-1-1111-1-1-1-1111-1-11-1-1-1-11111-1-11111-1-111-1-111-1-111-11-1
χ1611111111-1-111-1-1111-1-1-1-1111-1-11-1-1-1-11111-1-11111-1-1-1-111-1-111-1-11-11
χ172222222222-2-2222-2-22-2000000200-2-2-222-2-2000000000000000000000
χ182222222222-2-2-2-22-2-222000000-200-2-22-2-222000000000000000000000
χ1922222222-2-2-2-2222-2-2-2-200000020022-2-2-222000000000000000000000
χ2022222222-2-2-2-2-2-22-2-2-22000000-20022222-2-2000000000000000000000
χ21222222-2-2002222-2-2-2022-202-20-20000-200002-2002-2000000000000000
χ22222222-2-2002222-2-2-202-220-220-20000-20000-2200-22000000000000000
χ23222222-2-20022-2-2-2-2-20-22-20-22020000200002-200-22000000000000000
χ24222222-2-20022-2-2-2-2-20-2-2202-202000020000-22002-2000000000000000
χ25222222-2-200-2-222-2220-2002002-2-2-20020000002-2002-20000000000000
χ26222222-2-200-2-222-2220-200-200-2-222002000000-2200-220000000000000
χ27222222-2-200-2-2-2-2-2220200200-22-2200-20000002-200-220000000000000
χ28222222-2-200-2-2-2-2-2220200-200222-200-2000000-22002-20000000000000
χ292222-2-222222-200-22-2-2000022200-22-2000000000-2-2-220000000000000
χ302222-2-222222-200-22-2-20000-2-2-20022-2000000000222-20000000000000
χ312222-2-22222-2200-2-22-202220000-20-2200000-2-2-2200000000000000000
χ322222-2-22222-2200-2-22-20-2-2-2000020-2200000222-200000000000000000
χ332222-2-222-2-22-200-22-22000022-2002-22000000000-2-22-20000000000000
χ342222-2-222-2-22-200-22-220000-2-2200-2-2200000000022-220000000000000
χ352222-2-222-2-2-2200-2-222022-20000202-200000-2-22-200000000000000000
χ362222-2-222-2-2-2200-2-2220-2-220000-202-20000022-2200000000000000000
χ372222-2-2-2-2002-2002-22000022-200200002-22-200-2-2-22000000000000000
χ382222-2-2-2-2002-2002-2200002-220020000-22-2200-2-22-2000000000000000
χ392222-2-2-2-2002-2002-220000-22-200-20000-22-220022-22000000000000000
χ402222-2-2-2-2002-2002-220000-2-2200-200002-22-200222-2000000000000000
χ412222-2-2-2-200-220022-2002-200020020002-2-22-220000-2-20000000000000
χ422222-2-2-2-200-220022-2002-2000-200-2000-222-2-220000220000000000000
χ432222-2-2-2-200-220022-200-220002002000-222-22-20000-2-20000000000000
χ442222-2-2-2-200-220022-200-22000-200-20002-2-222-20000220000000000000
χ454-44-4004-44-40000000000000000000000000000000002i−2i00002i−2i00000
χ464-44-4004-44-4000000000000000000000000000000000−2i2i0000−2i2i00000
χ474-44-4004-4-440000000000000000000000000000000002i−2i0000−2i2i00000
χ484-44-4004-4-44000000000000000000000000000000000−2i2i00002i−2i00000
χ494-4-444-40000004-400000000000000000000000000000002i−2i2i−2i0000000
χ504-4-444-40000004-40000000000000000000000000000000−2i2i−2i2i0000000
χ514-4-444-4000000-4400000000000000000000000000000002i−2i−2i2i0000000
χ524-4-444-4000000-440000000000000000000000000000000−2i2i2i−2i0000000
χ5388-8-8000000000000000000000000000000000000000000000002i2−2i2000
χ5488-8-800000000000000000000000000000000000000000000000−2i22i2000
χ558-88-800-88000000000000000000000000000000000000000000000000
χ568-8-88-8800000000000000000000000000000000000000000000000000

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