Finite Group Databasebeta

← Group #349372

Character table — Group #349372

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222444444448888888888888888888888888816161616161616161616161616161616
order12222222222244444444222244444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111111-1-1-1-111-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111-1-111111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1111-1-11111-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1-1-111111111-1-1-1-1
χ711111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1
χ811111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-111111111
χ911111111111111-1-1-1-1111111-1-1-1-1-111-1-11111-1-111-1-1-1-1-111-1-111-1-111-1-111-1-1
χ1011111111111111-1-1-1-1111111-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-111-1-111-1-111-1-111
χ1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-111-1-1-1111111-1-1-1-11111-1-1-1-111
χ1211111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-111-1-1-11111-1-11111-1-1-1-11111-1-1
χ1311111111111111-1-1-1-111-1-111-11111-1-111-1-111-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1
χ1411111111111111-1-1-1-111-1-111-11111-1-111-1-111-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111
χ1511111111111111-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-11111-111-1-111-1-111-1-1-1-111-1-111
χ1611111111111111-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-11111-111-1-1-1-111-1-11111-1-111-1-1
χ17222222222222-2-222-2-2-2-20000200002222000000-2-2-200-2-20000000000000000
χ18222222222222-2-222-2-2-2-2000020000-2-2-2-200000022-200220000000000000000
χ19222222222222-2-2-2-222-2-20000-2000022-2-2000000-2-2200220000000000000000
χ20222222222222-2-2-2-222-2-20000-20000-2-22200000022200-2-20000000000000000
χ2122222222-2-2-2-22-222222-22200-222-2-20000-2-2000000-200000000000000000000
χ2222222222-2-2-2-22-222222-2-2-200-2-2-222000022000000-200000000000000000000
χ2322222222-2-2-2-22-2-2-2-2-22-222002-2-2220000-2-2000000200000000000000000000
χ2422222222-2-2-2-22-2-2-2-2-22-2-2-200222-2-2000022000000200000000000000000000
χ2522222222-2-2-2-2-2222-2-2-220022-20000000000-2-222002-2-2000000000000000000
χ2622222222-2-2-2-2-2222-2-2-2200-2-2-2000000000022-2-200222000000000000000000
χ2722222222-2-2-2-2-22-2-222-22002220000000000-2-2-2-200-222000000000000000000
χ2822222222-2-2-2-2-22-2-222-2200-2-220000000000222200-2-2-2000000000000000000
χ29222-2-22-2-222-2-2220000-2-22-22-2000002-2002-22-2002-2000000000000000000000
χ30222-2-22-2-222-2-2220000-2-22-2-2200000-22002-2-2200-22000000000000000000000
χ31222-2-22-2-222-2-2220000-2-2-222-200000-2200-222-200-22000000000000000000000
χ32222-2-22-2-222-2-2220000-2-2-22-22000002-200-22-22002-2000000000000000000000
χ33222-2-22-2-222-2-2-2-2000022000002i−2i2i−2i2-20000002i−2i-2202i−2i000000000000000000
χ34222-2-22-2-222-2-2-2-2000022000002i−2i2i−2i-22000000−2i2i2-20−2i2i000000000000000000
χ35222-2-22-2-222-2-2-2-200002200000−2i2i−2i2i2-2000000−2i2i-220−2i2i000000000000000000
χ36222-2-22-2-222-2-2-2-200002200000−2i2i−2i2i-220000002i−2i2-202i−2i000000000000000000
χ37222-2-22-2-2-2-2222-20000-222-20000000002i−2i-22002i−2i000−2i2i2i−2i0000000000000000
χ38222-2-22-2-2-2-2222-20000-222-2000000000−2i2i-2200−2i2i0002i−2i−2i2i0000000000000000
χ39222-2-22-2-2-2-2222-20000-22-220000000002i−2i2-200−2i2i0002i−2i2i−2i0000000000000000
χ40222-2-22-2-2-2-2222-20000-22-22000000000−2i2i2-2002i−2i000−2i2i−2i2i0000000000000000
χ41222-2-22-2-2-2-222-2200002-2002-202i−2i−2i2i002i−2i00-220000000−2i2i0000000000000000
χ42222-2-22-2-2-2-222-2200002-2002-20−2i2i2i−2i00−2i2i00-2200000002i−2i0000000000000000
χ43222-2-22-2-2-2-222-2200002-200-2202i−2i−2i2i00−2i2i002-200000002i−2i0000000000000000
χ44222-2-22-2-2-2-222-2200002-200-220−2i2i2i−2i002i−2i002-20000000−2i2i0000000000000000
χ4544-44-4-4-440000004i−4i00000000000000000000000000000000002-22i−2i00000000
χ4644-44-4-4-440000004i−4i0000000000000000000000000000000000-22−2i2i00000000
χ4744-44-4-4-44000000−4i4i00000000000000000000000000000000002-2−2i2i00000000
χ4844-44-4-4-44000000−4i4i0000000000000000000000000000000000-222i−2i00000000
χ494-444-4-44-4000000004i−4i00000000000000000000000000002-22i−2i000000000000
χ504-444-4-44-4000000004i−4i0000000000000000000000000000-22−2i2i000000000000
χ514-444-4-44-400000000−4i4i00000000000000000000000000002-2−2i2i000000000000
χ524-444-4-44-400000000−4i4i0000000000000000000000000000-222i−2i000000000000
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
χ574-4-4-4-44444-4-4400000000000000000000000000000000000000000000000022−22
χ584-4-4-4-44444-4-44000000000000000000000000000000000000000000000000−2222
χ594-4-4-4-4444-444-4000000000000000000000000000000000000000000000022−2200
χ604-4-4-4-4444-444-40000000000000000000000000000000000000000000000−222200
χ6188-8-88-88-8000000000000000000000000000000000000000000000000000000
χ628-88-88-8-88000000000000000000000000000000000000000000000000000000

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