Finite Group Databasebeta

← Group #349378

Character table — Group #349378

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222444444448888888888888888888888888816161616161616161616161616161616
order12222222222244444444222222444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-111-1-1-1-11-1-1111111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-111-1-1-1-11-1-1111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-111111-1-111-1-1-1-111111111-1-1-1-1
χ911111111111111-1-1-1-11111111111-1-1-111-1-1-1-111-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ1011111111111111-1-1-1-11111111111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ1111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-11111-1-111-1-1-11111-1-111-1-1-1-111-1-111
χ1211111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-11111-1-111-1-1-111-1-111-1-11111-1-111-1-1
χ1311111111111111-1-1-1-111-1-111-1-1-1-1-11111-1-1-1-1-1-111-1111111-1-1-1-11111-1-1-1-111
χ1411111111111111-1-1-1-111-1-111-1-1-1-1-11111-1-1-1-1-1-111-11111-1-11111-1-1-1-11111-1-1
χ1511111111111111-1-1-1-111-1-1-1-111-1-1-111-1-1111111-1-1-111-1-111-1-1-1-111-1-11111-1-1
χ1611111111111111-1-1-1-111-1-1-1-111-1-1-111-1-1111111-1-1-111-1-1-1-11111-1-111-1-1-1-111
χ17222222222222-2-222-2-2-2-2220000-2-22-2-20000000000-222000000000000000000
χ18222222222222-2-222-2-2-2-2-2-20000222220000000000-2-2-2000000000000000000
χ19222222222222-2-2-2-222-2-2220000-2-2-22200000000002-2-2000000000000000000
χ20222222222222-2-2-2-222-2-2-2-2000022-2-2-20000000000222000000000000000000
χ2122222222-2-2-2-22-222222-200002200-200000000-2-2-2-2-200220000000000000000
χ2222222222-2-2-2-22-222222-20000-2-200-2000000002222-200-2-20000000000000000
χ2322222222-2-2-2-22-2-2-2-2-22-200002200200000000-2-222200-2-20000000000000000
χ2422222222-2-2-2-22-2-2-2-2-22-20000-2-20020000000022-2-2200220000000000000000
χ2522222222-2-2-2-2-2222-2-2-2200220000-200-2-222-2-20000200000000000000000000
χ2622222222-2-2-2-2-2222-2-2-2200-2-20000-20022-2-2220000200000000000000000000
χ2722222222-2-2-2-2-22-2-222-2200220000200-2-2-2-2220000-200000000000000000000
χ2822222222-2-2-2-2-22-2-222-2200-2-200002002222-2-20000-200000000000000000000
χ292222-2-2-2-222-2-2220000-2-22-22-22-22-20002-200002-200000000000000000000000
χ302222-2-2-2-222-2-2220000-2-22-2-22-222-2000-220000-2200000000000000000000000
χ312222-2-2-2-222-2-2220000-2-2-222-2-22-220002-20000-2200000000000000000000000
χ322222-2-2-2-222-2-2220000-2-2-22-222-2-22000-2200002-200000000000000000000000
χ332222-2-2-2-222-2-2-2-20000222-20000-22000002i−2i2i−2i002i−2i0002i−2i0000000000000000
χ342222-2-2-2-222-2-2-2-20000222-20000-2200000−2i2i−2i2i00−2i2i000−2i2i0000000000000000
χ352222-2-2-2-222-2-2-2-2000022-2200002-2000002i−2i2i−2i00−2i2i000−2i2i0000000000000000
χ362222-2-2-2-222-2-2-2-2000022-2200002-200000−2i2i−2i2i002i−2i0002i−2i0000000000000000
χ372222-2-2-2-2-2-2222-20000-2200002-20002i−2i002i−2i−2i2i-220002i−2i000000000000000000
χ382222-2-2-2-2-2-2222-20000-2200002-2000−2i2i00−2i2i2i−2i-22000−2i2i000000000000000000
χ392222-2-2-2-2-2-2222-20000-220000-220002i−2i00−2i2i2i−2i2-20002i−2i000000000000000000
χ402222-2-2-2-2-2-2222-20000-220000-22000−2i2i002i−2i−2i2i2-2000−2i2i000000000000000000
χ412222-2-2-2-2-2-222-2200002-2002-2000002i−2i-220000002i−2i0−2i2i−2i2i0000000000000000
χ422222-2-2-2-2-2-222-2200002-2002-200000−2i2i-22000000−2i2i02i−2i2i−2i0000000000000000
χ432222-2-2-2-2-2-222-2200002-200-22000002i−2i2-2000000−2i2i0−2i2i2i−2i0000000000000000
χ442222-2-2-2-2-2-222-2200002-200-2200000−2i2i2-20000002i−2i02i−2i−2i2i0000000000000000
χ4544-4-44-44-40000004i−4i0000000000000000000000000000002-22i−2i000000000000
χ4644-4-44-44-40000004i−4i000000000000000000000000000000-22−2i2i000000000000
χ4744-4-44-44-4000000−4i4i0000000000000000000000000000002-2−2i2i000000000000
χ4844-4-44-44-4000000−4i4i000000000000000000000000000000-222i−2i000000000000
χ494-44-4-444-4000000004i−4i000000000000000000000000000000002-22i−2i00000000
χ504-44-4-444-4000000004i−4i00000000000000000000000000000000-22−2i2i00000000
χ514-44-4-444-400000000−4i4i000000000000000000000000000000002-2−2i2i00000000
χ524-44-4-444-400000000−4i4i00000000000000000000000000000000-222i−2i00000000
χ534-4-4444-4-44-44-4000000000000000000000000000000000000000000002i2−2i20000
χ544-4-4444-4-44-44-400000000000000000000000000000000000000000000−2i22i20000
χ554-4-4444-4-4-44-440000000000000000000000000000000000000000002i2−2i2000000
χ564-4-4444-4-4-44-44000000000000000000000000000000000000000000−2i22i2000000
χ574-4-44-4-4444-4-4400000000000000000000000000000000000000000000000022−22
χ584-4-44-4-4444-4-44000000000000000000000000000000000000000000000000−2222
χ594-4-44-4-444-444-4000000000000000000000000000000000000000000000022−2200
χ604-4-44-4-444-444-40000000000000000000000000000000000000000000000−222200
χ6188-8-8-88-88000000000000000000000000000000000000000000000000000000
χ628-88-88-8-88000000000000000000000000000000000000000000000000000000

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