Finite Group Databasebeta

← Group #347134

Character table — Group #347134

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122224444444448888888888888888888888888816161616161616161616323232
order12222244222222444222224444444444444444444444444448888488
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-11-1-1111-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-111111-1-1
χ411111111111111111111-1-11-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-111
χ51111111111-1-1111111-1-11-1-11-111-1111-1-1-1-1-1-1111-1-1-11111-1-111-1-1-11-1
χ61111111111-1-1111111-1-11-1-11-111-1111-1-1-1-1-1-1111-1-1-1-1-1-1-111-1-1111-11
χ71111111111-1-1111111-1-1-11-1-1111-1-1-1-1111-1-1-1-1-1-111111-1-11111-1-1-1-11
χ81111111111-1-1111111-1-1-11-1-1111-1-1-1-1111-1-1-1-1-1-1111-1-111-1-1-1-11111-1
χ911111111-1-11111111-1-1-111111-1-111-1-11-1-11-1-11-1-11-1-111-1-1-1-1-1-1-1-1111
χ1011111111-1-11111111-1-1-111111-1-111-1-11-1-11-1-11-1-11-1-1-1-111111111-1-1-1
χ1111111111-1-11111111-1-1-1-1-11-1-1-1-11-111-1111-1-1-111-111111111-1-1-1-11-1-1
χ1211111111-1-11111111-1-1-1-1-11-1-1-1-11-111-1111-1-1-111-111-1-1-1-1-1-11111-111
χ1311111111-1-1-1-111111-1111-1-11-1-1-1-11-1-1-111-1111-1-1-11111-1-111-1-111-11-1
χ1411111111-1-1-1-111111-1111-1-11-1-1-1-11-1-1-111-1111-1-1-111-1-111-1-111-1-11-11
χ1511111111-1-1-1-111111-111-11-1-11-1-1-1-1111-1-1-111-1111-1-11111-1-1-1-111-1-11
χ1611111111-1-1-1-111111-111-11-1-11-1-1-1-1111-1-1-111-1111-1-1-1-1-1-11111-1-111-1
χ17222222222222-2-22-2-222200-200-2-22000000-2-2-20000000000000000000
χ182222222222-2-2-2-22-2-22-2-200200-2-2-20000002220000000000000000000
χ1922222222-2-222-2-22-2-2-2-2-200-200222000000-2220000000000000000000
χ2022222222-2-2-2-2-2-22-2-2-2220020022-20000002-2-20000000000000000000
χ21222222-2-2002222-2-2-20000020000-202-202-2-20002-202-20000000000000
χ22222222-2-2002222-2-2-20000020000-20-220-22-2000-220-220000000000000
χ23222222-2-20022-2-2-22200022-22200-2-200-200200-200-2000000000000000
χ24222222-2-20022-2-2-222000-2-2-2-2-200-22002002002002000000000000000
χ25222222-2-200-2-222-2-2-200000-20000202-20-2220002-20-220000000000000
χ26222222-2-200-2-222-2-2-200000-2000020-2202-22000-2202-20000000000000
χ27222222-2-200-2-2-2-2-2220002-222-2002-200200-200-2002000000000000000
χ28222222-2-200-2-2-2-2-222000-222-22002200-200-200200-2000000000000000
χ292222-2-22222002-2-22-2-2000200-22-20000222000000-2-2-20000000000000
χ302222-2-22222002-2-22-2-2000-20022-20000-2-2-20000002220000000000000
χ312222-2-2222200-22-2-22-200200-20-220222000000-2-2-20000000000000000
χ322222-2-2222200-22-2-22-200-20020-220-2-2-20000002220000000000000000
χ332222-2-222-2-2002-2-22-22000200-2-2200002-2-2000000-2220000000000000
χ342222-2-222-2-2002-2-22-22000-2002-220000-2220000002-2-20000000000000
χ352222-2-222-2-200-22-2-22200200-202-202-2-2000000-2220000000000000000
χ362222-2-222-2-200-22-2-22200-200202-20-2220000002-2-20000000000000000
χ372222-2-2-2-200002-22-2202-2200-20000-20002-202-22000-220000000000000
χ382222-2-2-2-200002-22-2202-2-200200002000-2202-2-20002-20000000000000
χ392222-2-2-2-200002-22-220-22200-20000-2000-220-2220002-20000000000000
χ402222-2-2-2-200002-22-220-22-2002000020002-20-22-2000-220000000000000
χ412222-2-2-2-20000-2222-202-20200-200002-2-2000-220-222000000000000000
χ422222-2-2-2-20000-2222-202-20-20020000-222000-2202-2-2000000000000000
χ432222-2-2-2-20000-2222-20-220200-20000-22-20002-202-22000000000000000
χ442222-2-2-2-20000-2222-20-220-200200002-220002-20-22-2000000000000000
χ4544-4-44-400004-40000000000000000000000000000000002-22-20000000
χ4644-4-44-400004-4000000000000000000000000000000000-22-220000000
χ4744-4-44-40000-440000000000000000000000000000000002-2-220000000
χ4844-4-44-40000-44000000000000000000000000000000000-222-20000000
χ494-44-4004-44-40000000000000000000000000000000002i−2i00002i−2i00000
χ504-44-4004-44-4000000000000000000000000000000000−2i2i0000−2i2i00000
χ514-44-4004-4-440000000000000000000000000000000002i−2i0000−2i2i00000
χ524-44-4004-4-44000000000000000000000000000000000−2i2i00002i−2i00000
χ5388-8-8-8800000000000000000000000000000000000000000000000000
χ548-88-800-88000000000000000000000000000000000000000000000000
χ558-8-880000000000000000000000000000000000000000000000022−22000
χ568-8-8800000000000000000000000000000000000000000000000−2222000

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