Finite Group Databasebeta

← Group #346830

Character table — Group #346830

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122224444444448888888888888888888888888816161616161616161616323232
order12222244444444444222222224444444444444444444488888888488
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ51111111111-1-11111111-1-111-1-111-1-11-1-1-1-1-11111-1-1-1-111-1-1-1-111111-1-1
χ61111111111-1-11111111-1-111-1-111-1-11-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-111
χ71111111111-1-11111111-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111
χ81111111111-1-11111111-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1
χ911111111-1-11111111-1-1-1-1111-1-1-11-1-1111-1-111-1-111-1-111-1-11111-1-1-11-1
χ1011111111-1-11111111-1-1-1-1111-1-1-11-1-1111-1-111-1-111-1-1-1-111-1-1-1-1111-11
χ1111111111-1-11111111-1-1-1-1-1-1-1111-11-1111-1-1-1-111-1-11111-1-111-1-111-1-11
χ1211111111-1-11111111-1-1-1-1-1-1-1111-11-1111-1-1-1-111-1-111-1-111-1-111-1-111-1
χ1311111111-1-1-1-111111-1-11111-11-1-1-11-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11
χ1411111111-1-1-1-111111-1-11111-11-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1
χ1511111111-1-1-1-111111-1-111-1-11-1111-1-1-1-1-111-1-11111-1-11111-1-1-1-111-11-1
χ1611111111-1-1-1-111111-1-111-1-11-1111-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-11-11
χ17222222222222-2-22-2-22-22200000000-22-2-2-2-2000000000000000000000
χ182222222222-2-2-2-22-2-22-2-2-200000000-2-22222000000000000000000000
χ1922222222-2-222-2-22-2-2-22-2-20000000022-2-222000000000000000000000
χ2022222222-2-2-2-2-2-22-2-2-2222000000002-222-2-2000000000000000000000
χ21222222-2-2220022-2-2-2-2200002-200-22-20000000002-22-20000000000000
χ22222222-2-2220022-2-2-2-220000-22002-2-2000000000-22-220000000000000
χ23222222-2-22200-2-2-222-2-2002-2002-2002000002-22-200000000000000000
χ24222222-2-22200-2-2-222-2-200-2200-2200200000-22-2200000000000000000
χ25222222-2-2-2-20022-2-2-22-200002200-2-220000000002-2-220000000000000
χ26222222-2-2-2-20022-2-2-22-20000-2-200222000000000-222-20000000000000
χ27222222-2-2-2-200-2-2-22222002-200-2200-2000002-2-2200000000000000000
χ28222222-2-2-2-200-2-2-2222200-22002-200-200000-222-200000000000000000
χ292222-2-22200222-2-22-200000002-2-20-20-22-2000022002-20000000000000
χ302222-2-22200222-2-22-20000000-222020-22-20000-2-200-220000000000000
χ312222-2-2220022-22-2-220000222000-200-2-2200-2-200-22000000000000000
χ322222-2-2220022-22-2-220000-2-2-2000200-2-220022002-2000000000000000
χ332222-2-22200-2-22-2-22-200000002220-202-220000-2-2002-20000000000000
χ342222-2-22200-2-22-2-22-20000000-2-2-20202-2200002200-220000000000000
χ352222-2-22200-2-2-22-2-22000022-200020022-200-2-2002-2000000000000000
χ362222-2-22200-2-2-22-2-220000-2-22000-20022-2002200-22000000000000000
χ372222-2-2-2-200002-22-22002-22-202000200002-2-220000-2-20000000000000
χ382222-2-2-2-200002-22-22002-2-220-2000-200002-22-20000220000000000000
χ392222-2-2-2-200002-22-2200-222-20-2000-20000-22-220000220000000000000
χ402222-2-2-2-200002-22-2200-22-220200020000-222-20000-2-20000000000000
χ412222-2-2-2-20000-2222-2002-200202-2200000-2200-22-2-2000000000000000
χ422222-2-2-2-20000-2222-2002-200-20-22-200000-22002-222000000000000000
χ432222-2-2-2-20000-2222-200-220020-222000002-2002-2-2-2000000000000000
χ442222-2-2-2-20000-2222-200-2200-202-2-2000002-200-2222000000000000000
χ454-44-4004-4004-400000000000000000000000000000002i−2i002i−2i0000000
χ464-44-4004-4004-40000000000000000000000000000000−2i2i00−2i2i0000000
χ474-44-4004-400-4400000000000000000000000000000002i−2i00−2i2i0000000
χ484-44-4004-400-440000000000000000000000000000000−2i2i002i−2i0000000
χ494-4-444-4004i−4i0000000000000000000000000000000000000002i−2i2-2000
χ504-4-444-4004i−4i000000000000000000000000000000000000000−2i2i-22000
χ514-4-444-400−4i4i0000000000000000000000000000000000000002i−2i-22000
χ524-4-444-400−4i4i000000000000000000000000000000000000000−2i2i2-2000
χ5388-8-80000000000000000000000000000000000000000022−22000000000
χ5488-8-800000000000000000000000000000000000000000−2222000000000
χ558-88-800-88000000000000000000000000000000000000000000000000
χ568-8-88-8800000000000000000000000000000000000000000000000000

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