Finite Group Databasebeta

← Group #339802

Character table — Group #339802

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222222224448888888888881616161616161616161616161616161632323232
order12222244444444488888888888822244488888888884488
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-111111-1-11-1-11-11-11-1-1-111-1-11-1
χ31111111111111111111-1-1111111-11-1-11-1-11-11-11-1-111-1-1-11
χ41111111111111111111-1-1-1-11111-1-11-1-11-1-1-1-1-1-1111111-1-1
χ511111111111111111-1-11111-1-1-1-11-111-1111-1-1-1-1-1-11-11-1-11
χ611111111111111111-1-111-1-1-1-1-1-111-111-11-1-11-11111-1-11-1-1
χ711111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-11-1111-1-1111
χ811111111111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-11-11-11-1
χ9111111111111111-1-1111111-1-1-1-1-111-11111-1-1-1-1-1-1-11-111-1
χ10111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1111-111-111
χ11111111111111111-1-111-1-111-1-1-1-111-111-1-111-11-111-111-1-1-1
χ12111111111111111-1-111-1-1-1-1-1-1-1-11-111-11-1-11111-1-1-11-11-11
χ13111111111111111-1-1-1-111111111-1-11-1-1111111111-1-1-1-1-1-1
χ14111111111111111-1-1-1-111-1-11111-11-1-11-11-11-11-1-1-1-1-111-11
χ15111111111111111-1-1-1-1-1-11111111-1-11-1-1-11-11-11-1-1-1-1111-1
χ16111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111
χ1722222222-2-222-2-2-200002222000000-2002-2-2000000000000
χ1822222222-2-222-2-2-2000022-2-2000000200-2-22000000000000
χ1922222222-2-222-2-2-20000-2-222000000200-22-2000000000000
χ2022222222-2-222-2-2-20000-2-2-2-2000000-200222000000000000
χ212222-2-22-2222-22-2-2002200000000200-20000-2020000-20000
χ222222-2-22-2222-22-2-2002200000000-2002000020-20000-20000
χ232222-2-22-2222-22-2-200-2-200000000200-2000020-2000020000
χ242222-2-22-2222-22-2-200-2-200000000-20020000-202000020000
χ252222-2-2-2222-22-22-22200000000000200-20000-20200-200000
χ262222-2-2-2222-22-22-22200000000000-2002000020-200-200000
χ272222-2-2-2222-22-22-2-2-200000000000200-2000020-200200000
χ282222-2-2-2222-22-22-2-2-200000000000-20020000-20200200000
χ29444444-4-444-4-4-4-4400000000000000000000000000000000
χ30444444-4-4-4-4-4-444-400000000000000000000000000000000
χ314444-4-44-4-4-44-4-44400000000000000000000000000000000
χ324444-4-4-44-4-4-444-4400000000000000000000000000000000
χ334-44-44-44400-4-400000000000000000000000000022−22000000
χ344-44-44-44400-4-4000000000000000000000000000−2222000000
χ354-44-44-4-4-40044000000000002222−22−2200000000000000000000
χ364-44-44-4-4-4004400000000000−22−22222200000000000000000000
χ374-44-4-444-400-440000000004i−4i000000000000000000000000
χ384-44-4-444-400-44000000000−4i4i000000000000000000000000
χ394-44-4-44-44004-400000004i−4i00000000000000000000000000
χ404-44-4-44-44004-40000000−4i4i00000000000000000000000000
χ414-4-440000-440000022−2222−2200002-22-200000000000000000000
χ424-4-440000-440000022−22−22220000-22-2200000000000000000000
χ434-4-440000-4400000−222222−220000-22-2200000000000000000000
χ444-4-440000-4400000−2222−222200002-22-200000000000000000000
χ4588-8-8000000000000000000022−22−222200000000000000000000
χ4688-8-80000000000000000000−222222−2200000000000000000000
χ478-8-8800008-80000000000000000000000000000000000000

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