Finite Group Databasebeta

← Group #349367

Character table — Group #349367

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222444444448888888888888888888888888816161616161616161616161616161616
order12222222222244444444224444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1111-1-1-1-1111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111-1-1111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111-1-1111-1-1-1-1-1-11-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-1111-1-1-1-1-1-11-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1
χ711111111111111111111-1-1-1-11-1-111111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ811111111111111111111-1-1-1-11-1-111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111
χ9111111111111-1-111-1-1111111-11111-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ10111111111111-1-111-1-1111111-11111-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ11111111111111-1-111-1-11111-1-1-111-1-111-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ12111111111111-1-111-1-11111-1-1-111-1-111-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ13111111111111-1-111-1-111-1-111-1-1-1-1-111-11111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1
χ14111111111111-1-111-1-111-1-111-1-1-1-1-111-11111-1-1-1-111-1-111-1-11111-1-111-1-1-1-111
χ15111111111111-1-111-1-111-1-1-1-1-1-1-111-1-1-111-1-111111111-1-111-1-111-1-1-1-111-1-111
χ16111111111111-1-111-1-111-1-1-1-1-1-1-111-1-1-111-1-111111111-1-1-1-111-1-11111-1-111-1-1
χ1722222222222222-2-2-2-2-2-2000020022-2-2-2000000-2-20000220000000000000000
χ1822222222222222-2-2-2-2-2-20000200-2-222-2000000220000-2-20000000000000000
χ19222222222222-2-2-2-222-2-20000-20022222000000-2-20000-2-20000000000000000
χ20222222222222-2-2-2-222-2-20000-200-2-2-2-22000000220000220000000000000000
χ2122222222-2-2-2-2222-2222-22200-2-2-20000-222000000-2-200000000000000000000
χ2222222222-2-2-2-2222-2222-2-2-200-2220000-2-2-20000002200000000000000000000
χ2322222222-2-2-2-222-22-2-2-220022-2000000200-2-2-2-2000022000000000000000000
χ2422222222-2-2-2-222-22-2-2-2200-2-2-200000020022220000-2-2000000000000000000
χ2522222222-2-2-2-2-2-22-2-2-22-222002-2-200002-2-20000002200000000000000000000
χ2622222222-2-2-2-2-2-22-2-2-22-2-2-2002220000222000000-2-200000000000000000000
χ2722222222-2-2-2-2-2-2-2222-2200222000000-200-2-2220000-2-2000000000000000000
χ2822222222-2-2-2-2-2-2-2222-2200-2-22000000-20022-2-2000022000000000000000000
χ29222-2-22-2-222-2-2002200-2-22-22-202-22-2000002-2002-20000000000000000000000
χ30222-2-22-2-222-2-2002200-2-22-2-2202-2-2200000-2200-220000000000000000000000
χ31222-2-22-2-222-2-2002200-2-2-222-20-22-22000002-200-220000000000000000000000
χ32222-2-22-2-222-2-2002200-2-2-22-220-222-200000-22002-20000000000000000000000
χ33222-2-22-2-222-2-200-2-2002200000002-20002i−2i002i−2i-222i−2i2i−2i000000000000000000
χ34222-2-22-2-222-2-200-2-2002200000002-2000−2i2i00−2i2i-22−2i2i−2i2i000000000000000000
χ35222-2-22-2-222-2-200-2-200220000000-220002i−2i00−2i2i2-22i−2i−2i2i000000000000000000
χ36222-2-22-2-222-2-200-2-200220000000-22000−2i2i002i−2i2-2−2i2i2i−2i000000000000000000
χ37222-2-22-2-2-2-222002-200-222-2000-22002i−2i000002i−2i0000−2i2i2i−2i0000000000000000
χ38222-2-22-2-2-2-222002-200-222-2000-2200−2i2i00000−2i2i00002i−2i−2i2i0000000000000000
χ39222-2-22-2-2-2-222002-200-22-220002-2002i−2i00000−2i2i00002i−2i2i−2i0000000000000000
χ40222-2-22-2-2-2-222002-200-22-220002-200−2i2i000002i−2i0000−2i2i−2i2i0000000000000000
χ41222-2-22-2-2-2-22200-22002-2002-2000002i−2i02i−2i-220000−2i2i00−2i2i0000000000000000
χ42222-2-22-2-2-2-22200-22002-2002-200000−2i2i0−2i2i-2200002i−2i002i−2i0000000000000000
χ43222-2-22-2-2-2-22200-22002-200-22000002i−2i0−2i2i2-200002i−2i00−2i2i0000000000000000
χ44222-2-22-2-2-2-22200-22002-200-2200000−2i2i02i−2i2-20000−2i2i002i−2i0000000000000000
χ4544-44-4-4-44000000004i−4i000000000000000000000000000000002-22i−2i00000000
χ4644-44-4-4-44000000004i−4i00000000000000000000000000000000-22−2i2i00000000
χ4744-44-4-4-4400000000−4i4i000000000000000000000000000000002-2−2i2i00000000
χ4844-44-4-4-4400000000−4i4i00000000000000000000000000000000-222i−2i00000000
χ494-4444-4-4-44-44-400000000000000000000000000000000000000000022−22000000
χ504-4444-4-4-44-44-4000000000000000000000000000000000000000000−2222000000
χ514-4444-4-4-4-44-44000000000000000000000000000000000000000000002i2−2i20000
χ524-4444-4-4-4-44-4400000000000000000000000000000000000000000000−2i22i20000
χ534-44-4-4-4444-4-44000000000000000000000000000000000000000000000022−2200
χ544-44-4-4-4444-4-440000000000000000000000000000000000000000000000−222200
χ554-44-4-4-444-444-40000000000000000000000000000000000000000000000002i2−2i2
χ564-44-4-4-444-444-4000000000000000000000000000000000000000000000000−2i22i2
χ574-4-44-444-400004-4000000000000000000000000000000002i−2i2i−2i000000000000
χ584-4-44-444-400004-400000000000000000000000000000000−2i2i−2i2i000000000000
χ594-4-44-444-40000-44000000000000000000000000000000002i−2i−2i2i000000000000
χ604-4-44-444-40000-4400000000000000000000000000000000−2i2i2i−2i000000000000
χ6188-8-88-88-8000000000000000000000000000000000000000000000000000000
χ628-8-8-888-88000000000000000000000000000000000000000000000000000000

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