Finite Group Databasebeta

← Group #339807

Character table — Group #339807

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222222224448888888888881616161616161616161616161616161632323232
order12222244444444488888888888822444488888888882288
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-111111-1-11-1-11-1111-11-1-1-1-1-11-1
χ31111111111111111111-1-1111111-11-1-11-1-1111-11-11-1-1-1-1-11
χ41111111111111111111-1-1-1-11111-1-11-1-11-1-111-1-1-1-11111-1-1
χ511111111111111111-1-11111-1-1-1-11-111-11-1-11-111-1-1-1-11-1-11
χ611111111111111111-1-111-1-1-1-1-1-111-111-1-111-11-1-1111-11-1-1
χ711111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-11-1-111-111-1111
χ811111111111111111-1-1-1-1-1-1-1-1-1-1-111-111111-1-1-111-1-11-11-1
χ9111111111111111-1-1111111-1-1-1-1-111-111-1-1-1111-1-1-1-1-111-1
χ10111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11111-111
χ11111111111111111-1-111-1-111-1-1-1-111-111-11-1-11-111-1111-1-1-1
χ12111111111111111-1-111-1-1-1-1-1-1-1-11-111-1111-11-1-111-1-1-11-11
χ13111111111111111-1-1-1-111111111-1-11-1-1111-1-1111111-1-1-1-1
χ14111111111111111-1-1-1-111-1-11111-11-1-11-11-1-1-11-11-1-1-111-11
χ15111111111111111-1-1-1-1-1-11111111-1-11-1-1-11-1-1-11-11-1-1111-1
χ16111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111
χ17222222-22222-2-2-2-200002222000000200-20000-2-200000000
χ18222222-22222-2-2-2-2000022-2-2000000-20020000-2200000000
χ19222222-22222-2-2-2-20000-2-222000000-200200002-200000000
χ20222222-22222-2-2-2-20000-2-2-2-2000000200-200002200000000
χ212222-2-2222-2-222-2-2002200000000200-200-200-20020000000
χ222222-2-2222-2-222-2-2002200000000-200200200-200-20000000
χ232222-2-2222-2-222-2-200-2-200000000200-200200200-20000000
χ242222-2-2222-2-222-2-200-2-200000000-200200-20020020000000
χ252222-2-22-2-2222-22-22200000000000200-200-2-200002000000
χ262222-2-22-2-2222-22-22200000000000-2002002-20000-2000000
χ272222-2-22-2-2222-22-2-2-200000000000200-200220000-2000000
χ282222-2-22-2-2222-22-2-2-200000000000-200200-2200002000000
χ294444444-4-4-4-44-4-4400000000000000000000000000000000
χ30444444-4-4-4-4-4-444-400000000000000000000000000000000
χ314444-4-4-444-4-4-4-44400000000000000000000000000000000
χ324444-4-4-4-4-444-44-4400000000000000000000000000000000
χ3344-4-40040000-40002i2−2i22i2−2i2000022-2-200000000000000000000
χ3444-4-40040000-40002i2−2i2−2i22i20000-2-22200000000000000000000
χ3544-4-40040000-4000−2i22i22i2−2i20000-2-22200000000000000000000
χ3644-4-40040000-4000−2i22i2−2i22i2000022-2-200000000000000000000
χ374-4-444-404-44-400000000000000000000000000000022−220000
χ384-4-444-404-44-4000000000000000000000000000000−22220000
χ394-4-444-40-44-4400000000000022−2222−2200000000000000000000
χ404-4-444-40-44-44000000000000−2222−222200000000000000000000
χ414-4-44-4404-4-4400000000004-4000000000000000000000000
χ424-4-44-4404-4-440000000000-44000000000000000000000000
χ434-4-44-440-444-4000000004-400000000000000000000000000
χ444-4-44-440-444-400000000-4400000000000000000000000000
χ4588-8-800-80000800000000000000000000000000000000000
χ468-88-8000000000000000000022−22−222200000000000000000000
χ478-88-80000000000000000000−222222−2200000000000000000000

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