Finite Group Databasebeta

← Group #334821

Character table — Group #334821

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122222222444888888888816161616161616161616161616161616161616323232
order12222244444444444888888882444444448888888888448
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-1-1-1-11-111-1-1-1-11-1111-1-1-1-1-11-11
χ31111111111111111111-1-11111-1-1-11-1-1-1-1-11111-111111-1-1-1
χ41111111111111111111-1-1-1-1-1-11-111-111111-111-1-1-1-1-1-1-11-1
χ511111111111111111-1-1111111-1-1-11-1-1-111-1-1-1-1111-1-1-111-1
χ611111111111111111-1-111-1-1-1-11-111-111-1-1-11-1-11-1-11111-1-1
χ711111111111111111-1-1-1-111111111111-1-1-1-1-1-1-111-1-1-1-1-11
χ811111111111111111-1-1-1-1-1-1-1-1-11-111-1-111-11-1-1-1-1-1111-111
χ9111111111111111-1-111111111-111-111-111-1-11-11-1-1-111-1-1-1
χ10111111111111111-1-11111-1-1-1-111-1-11-11-1-1-111-11111-1-1-11-1
χ11111111111111111-1-111-1-111111-1-1-1-1-11-1-1-1-11-1-1-1-1-111111
χ12111111111111111-1-111-1-1-1-1-1-1-1-11-1-11-111-111-1-1111-1-11-11
χ13111111111111111-1-1-1-11111111-1-1-1-1-111111-111-1-11-1-1-1-11
χ14111111111111111-1-1-1-111-1-1-1-1-1-11-1-11-1-1-11-1-11111-111-111
χ15111111111111111-1-1-1-1-1-11111-111-111-1-1-111-11-1-1-11-1-111-1
χ16111111111111111-1-1-1-1-1-1-1-1-1-111-1-11-11111-1-11-111-1111-1-1
χ1722222222-222-2-2-2-22222000000000-200000-20-22000000000
χ1822222222-222-2-2-2-222-2-2000000000-200000202-2000000000
χ1922222222-222-2-2-2-2-2-22200000000020000020-2-2000000000
χ2022222222-222-2-2-2-2-2-2-2-2000000000200000-2022000000000
χ212222-2-22-222-22-22-20000220000200000-2000200-200-200000
χ222222-2-22-222-22-22-20000220000-2000002000-200-200200000
χ232222-2-22-222-22-22-20000-2-20000200000-2000-200200200000
χ242222-2-22-222-22-22-20000-2-20000-2000002000200200-200000
χ252222-2-2-222-222-2-2200000022-2-20220-2-20000000000000000
χ262222-2-2-222-222-2-2200000022-2-20-2-20220000000000000000
χ272222-2-2-222-222-2-22000000-2-22202-20-220000000000000000
χ282222-2-2-222-222-2-22000000-2-2220-2202-20000000000000000
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
χ334-44-40000-400400000002i2−2i2002i2−2i200000002-20000000000000
χ344-44-40000-400400000002i2−2i200−2i22i20000000-220000000000000
χ354-44-40000-40040000000−2i22i2002i2−2i20000000-220000000000000
χ364-44-40000-40040000000−2i22i200−2i22i200000002-20000000000000
χ374-4-444-4440-4-40000004-40000000000000000000000000000
χ384-4-444-4440-4-4000000-440000000000000000000000000000
χ394-4-444-4-4-404400004i−4i000000000000000000000000000000
χ404-4-444-4-4-40440000−4i4i000000000000000000000000000000
χ414-4-44-444-40-4400000000000000000000000000002i2−2i2000000
χ424-4-44-444-40-440000000000000000000000000000−2i22i2000000
χ434-4-44-44-4404-400000000000000000000000000000002i2−2i2000
χ444-4-44-44-4404-40000000000000000000000000000000−2i22i2000
χ4588-8-8000000000000000004-4000000000000000000000000
χ4688-8-800000000000000000-44000000000000000000000000
χ478-88-80000800-800000000000000000000000000000000000

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