Finite Group Databasebeta

← Group #349346

Character table — Group #349346

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222444444448888888888888888888888888816161616161616161616161616161616
order12222222222244444444222222444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111-1-1111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111-1-1-1-111-1-1111-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111-1-111-1-1-1-1111-1-1-1-1-1-11-1-11111-1-111111111-1-1-1-1-1-1-1-1
χ611111111111111111111-1-111-1-1-1-1111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111-1-1-1-111-1-1-1-11-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-111-1-1-1-11-1-111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1
χ911111111111111-1-1-1-111111111-1-111-11111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ1011111111111111-1-1-1-111111111-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-111-1-1-111111111-1-1-1-11111-1-1-1-111
χ1211111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-111-1-1-1111111-1-11111-1-1-1-11111-1-1
χ1311111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-111-111-1-1-1-11111-1-111-1-1-1-111-1-111
χ1411111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-111-111-1-1-1-111-1-111-1-11111-1-111-1-1
χ1511111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-1-1111111-1-111-1-1-1-111-1-11111-1-1
χ1611111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-1-1111111-1-1-1-11111-1-111-1-1-1-111
χ17222222222222-2-222-2-2-2-200220000-2-22000000-20022-2-2000000000000000000
χ18222222222222-2-222-2-2-2-200-2-20000222000000-200-2-222000000000000000000
χ19222222222222-2-2-2-222-2-200220000-2-2-2000000200-2-222000000000000000000
χ20222222222222-2-2-2-222-2-200-2-2000022-200000020022-2-2000000000000000000
χ2122222222-2-2-2-22-222222-2220000-2-200-2-2-20000-2220000000000000000000000
χ2222222222-2-2-2-22-222222-2-2-200002200-2220000-2-2-20000000000000000000000
χ2322222222-2-2-2-22-2-2-2-2-22-222000022002-2-200002-2-20000000000000000000000
χ2422222222-2-2-2-22-2-2-2-2-22-2-2-20000-2-20022200002220000000000000000000000
χ2522222222-2-2-2-2-2222-2-2-220000220000-200-2-2222000000-2-20000000000000000
χ2622222222-2-2-2-2-2222-2-2-220000-2-20000-20022-2-22000000220000000000000000
χ2722222222-2-2-2-2-22-2-222-220000220000200-2-2-2-2-2000000220000000000000000
χ2822222222-2-2-2-2-22-2-222-220000-2-200002002222-2000000-2-20000000000000000
χ29222-22-2-2-222-2-2220000-2-22-22-22-2002-202-22-2000000000000000000000000000
χ30222-22-2-2-222-2-2220000-2-22-2-22-2200-2202-2-22000000000000000000000000000
χ31222-22-2-2-222-2-2220000-2-2-222-2-22002-20-22-22000000000000000000000000000
χ32222-22-2-2-222-2-2220000-2-2-22-222-200-220-222-2000000000000000000000000000
χ33222-22-2-2-222-2-2-2-2000022002-2002i−2i-22000002i−2i02i−2i00002i−2i0000000000000000
χ34222-22-2-2-222-2-2-2-2000022002-200−2i2i-2200000−2i2i0−2i2i0000−2i2i0000000000000000
χ35222-22-2-2-222-2-2-2-200002200-22002i−2i2-200000−2i2i02i−2i0000−2i2i0000000000000000
χ36222-22-2-2-222-2-2-2-200002200-2200−2i2i2-2000002i−2i0−2i2i00002i−2i0000000000000000
χ37222-22-2-2-2-2-2222-20000-222-2000000000-22002i−2i0002i−2i2i−2i−2i2i0000000000000000
χ38222-22-2-2-2-2-2222-20000-222-2000000000-2200−2i2i000−2i2i−2i2i2i−2i0000000000000000
χ39222-22-2-2-2-2-2222-20000-22-220000000002-2002i−2i000−2i2i−2i2i−2i2i0000000000000000
χ40222-22-2-2-2-2-2222-20000-22-220000000002-200−2i2i0002i−2i2i−2i2i−2i0000000000000000
χ41222-22-2-2-2-2-222-2200002-200002-22i−2i00000-22000−2i2i−2i2i2i−2i000000000000000000
χ42222-22-2-2-2-2-222-2200002-200002-2−2i2i00000-220002i−2i2i−2i−2i2i000000000000000000
χ43222-22-2-2-2-2-222-2200002-20000-222i−2i000002-2000−2i2i2i−2i−2i2i000000000000000000
χ44222-22-2-2-2-2-222-2200002-20000-22−2i2i000002-20002i−2i−2i2i2i−2i000000000000000000
χ4544-4-4-444-40000004-40000000000000000000000000000002i−2i2i−2i000000000000
χ4644-4-4-444-40000004-4000000000000000000000000000000−2i2i−2i2i000000000000
χ4744-4-4-444-4000000-440000000000000000000000000000002i−2i−2i2i000000000000
χ4844-4-4-444-4000000-44000000000000000000000000000000−2i2i2i−2i000000000000
χ494-44-4-4-444000000004-4000000000000000000000000000000002-22-200000000
χ504-44-4-4-444000000004-400000000000000000000000000000000-22-2200000000
χ514-44-4-4-44400000000-44000000000000000000000000000000002-2-2200000000
χ524-44-4-4-44400000000-4400000000000000000000000000000000-222-200000000
χ534-4-444-44-44-44-4000000000000000000000000000000000000000000002i2−2i20000
χ544-4-444-44-44-44-400000000000000000000000000000000000000000000−2i22i20000
χ554-4-444-44-4-44-440000000000000000000000000000000000000000002i2−2i2000000
χ564-4-444-44-4-44-44000000000000000000000000000000000000000000−2i22i2000000
χ574-4-4-444-444-4-4400000000000000000000000000000000000000000000000022−22
χ584-4-4-444-444-4-44000000000000000000000000000000000000000000000000−2222
χ594-4-4-444-44-444-4000000000000000000000000000000000000000000000022−2200
χ604-4-4-444-44-444-40000000000000000000000000000000000000000000000−222200
χ6188-88-8-8-88000000000000000000000000000000000000000000000000000000
χ628-888-88-8-8000000000000000000000000000000000000000000000000000000

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