Finite Group Databasebeta

← Group #333104

Character table — Group #333104

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111222222224448888881616161616161616161616161616161616161632323232
order12222244444444444444422444448888888888884488
χ111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ31111111111111111111111-11-1-11-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111-11-1-11-1-1-1-1-11111-1-1-1-111-1-1
χ511111111111111111-1-1-1-1-11-1111111-1-111-1-111-1-11-1-1-1
χ611111111111111111-1-1-1-1-11-11111-1-111-1-111-1-111-11-1-1
χ711111111111111111-1-1-1-1-1-1-1-1-11-111-1-1-1-11111-1-1-1111
χ811111111111111111-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1111-111
χ9111111111111111-1-11111-11-1-1-1-1111-1-11111-1-111-1-1-11
χ10111111111111111-1-11111-11-1-1-1-11-1-111-1-1-1-111-1-111-11
χ11111111111111111-1-11111-1-1-111-1-111-1-1-1-1-1-1-1-111111-1
χ12111111111111111-1-11111-1-1-111-1-1-1-111111111-1-1-1-11-1
χ13111111111111111-1-1-1-1-1-1111-1-1-11111111-1-1-1-1-1-1-111-1
χ14111111111111111-1-1-1-1-1-1111-1-1-11-1-1-1-1-1-11111111-11-1
χ15111111111111111-1-1-1-1-1-11-1111-1-11111-1-111-1-1-1-11-1-11
χ16111111111111111-1-1-1-1-1-11-1111-1-1-1-1-1-111-1-11111-11-11
χ172222222-2-2222-2-2-22222-2-220-200-200000000000000000
χ182222222-2-2222-2-2-222-2-222-20200-200000000000000000
χ192222222-2-2222-2-2-2-2-222-2-2-20200200000000000000000
χ202222222-2-2222-2-2-2-2-2-2-22220-200200000000000000000
χ212222-2-2222-2-22-22-20000000002-200002-2002-200000000
χ222222-2-2222-2-22-22-20000000002-20000-2200-2200000000
χ232222-2-2222-2-22-22-2000000000-2200002-200-2200000000
χ242222-2-2222-2-22-22-2000000000-220000-22002-200000000
χ252222-2-2-22222-2-2-22000000020000-22-2002-20000000000
χ262222-2-2-22222-2-2-22000000020000-2-2200-220000000000
χ272222-2-2-22222-2-2-220000000-2000022-200-220000000000
χ282222-2-2-22222-2-2-220000000-200002-22002-20000000000
χ29444444-444-4-4-44-4-400000000000000000000000000000
χ30444444-4-4-4-4-4-4-44400000000000000000000000000000
χ314444-4-44-4-4-4-444-4400000000000000000000000000000
χ324444-4-4-4-4-444-444-400000000000000000000000000000
χ334-4-444-44004-4-4000000000000000000000000002i2−2i20000
χ344-4-444-44004-4-400000000000000000000000000−2i22i20000
χ354-4-444-4-400-44400000000000000000000000022−22000000
χ364-4-444-4-400-444000000000000000000000000−2222000000
χ374-4-44-44400-44-40004i−4i000000000000000000000000000
χ384-4-44-44400-44-4000−4i4i000000000000000000000000000
χ394-4-44-44-4004-4400000004-400000000000000000000000
χ404-4-44-44-4004-440000000-4400000000000000000000000
χ4188-8-800000000000004-40000000000000000000000000
χ4288-8-80000000000000-440000000000000000000000000
χ438-88-80008-800000000000000000000000000000000000
χ448-88-8000-8800000000000000000000000000000000000

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