Finite Group Databasebeta

← Group #334728

Character table — Group #334728

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122222222444888888888816161616161616161616161616161616161616323232
order12222244444444422888888882444444448888888888248
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-1-1-11-1-111-1-1-1-111-111-1-1-1-1-11-11
χ31111111111111111111-1-11111-1-1-11-1-1-111-1-1-11-111-1-1-111-1
χ41111111111111111111-1-1-1-1-1-1-1111-111-1-1-1-111-1-1-11111-1-1
χ511111111111111111-1-1111111-1-1-11-1-1-1-1-1111-1111111-1-1-1
χ611111111111111111-1-111-1-1-1-1-1111-1111111-1-11-1-1-1-1-1-11-1
χ711111111111111111-1-1-1-111111111111-1-1-1-1-1-1-111-1-1-1-1-11
χ811111111111111111-1-1-1-1-1-1-1-11-1-111-1-111-1-11-1-1-1-1111-111
χ9111111111111111-1-11111111111-1-111-1111-1-11-1-1-1-111-1-1-1
χ10111111111111111-1-11111-1-1-1-11-11-11-11-1-11-111-1111-1-1-11-1
χ11111111111111111-1-111-1-11111-1-11-1-1-1111-11111-1-11-1-1-1-11
χ12111111111111111-1-111-1-1-1-1-1-1-11-1-1-11-1-1-1-11-11111-111-111
χ13111111111111111-1-1-1-1111111-1-11-1-1-11-1-11-1-1-1-1-1-1-111111
χ14111111111111111-1-1-1-111-1-1-1-1-11-1-1-11-1111-11-1-1111-1-11-11
χ15111111111111111-1-1-1-1-1-1111111-1-111-1-1-1-111-11-1-11-1-111-1
χ16111111111111111-1-1-1-1-1-1-1-1-1-11-11-11-1111-11-1-1111-1111-1-1
χ1722222222-222-2-2-2-22200220000000-200000-2-200200000000
χ1822222222-222-2-2-2-22200-2-20000000-2000002200-200000000
χ1922222222-222-2-2-2-2-2-200220000000200000-2200-200000000
χ2022222222-222-2-2-2-2-2-200-2-200000002000002-200200000000
χ212222-2-22-222-22-22-200000022-2-22200-2-20000000000000000
χ222222-2-22-222-22-22-200000022-2-2-2-200220000000000000000
χ232222-2-22-222-22-22-2000000-2-2222-200-220000000000000000
χ242222-2-22-222-22-22-2000000-2-222-22002-20000000000000000
χ252222-2-2-222-222-2-220022000000002000-20000-2-2000200000
χ262222-2-2-222-222-2-22002200000000-2000200002-2000-200000
χ272222-2-2-222-222-2-2200-2-2000000002000-2000022000-200000
χ282222-2-2-222-222-2-2200-2-200000000-200020000-22000200000
χ29444444-4-44-4-444-4-400000000000000000000000000000000
χ30444444-4-4-4-4-4-4-44400000000000000000000000000000000
χ314444-4-44-4-44-4-44-4400000000000000000000000000000000
χ324444-4-4-44-4-44-444-400000000000000000000000000000000
χ334-44-40000400-40000022−22002i2−2i20000000002i−2i0000000000000
χ344-44-40000400-40000022−2200−2i22i2000000000−2i2i0000000000000
χ354-44-40000400-400000−2222002i2−2i2000000000−2i2i0000000000000
χ364-44-40000400-400000−222200−2i22i20000000002i−2i0000000000000
χ374-4-444-44-40-4400000000000000000000000000000002i2−2i2000
χ384-4-444-44-40-440000000000000000000000000000000−2i22i2000
χ394-4-444-4-4404-400000000000000000000000000002i2−2i2000000
χ404-4-444-4-4404-40000000000000000000000000000−2i22i2000000
χ414-4-44-44440-4-4000000004i−4i00000000000000000000000000
χ424-4-44-44440-4-400000000−4i4i00000000000000000000000000
χ434-4-44-44-4-404400004-4000000000000000000000000000000
χ444-4-44-44-4-40440000-44000000000000000000000000000000
χ4588-8-800000000000000000004i−4i0000000000000000000000
χ4688-8-80000000000000000000−4i4i0000000000000000000000
χ478-88-80000-800800000000000000000000000000000000000

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