Finite Group Databasebeta

← Group #339793

Character table — Group #339793

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222222224448888888888881616161616161616161616161616161632323232
order12222244444444488888888888824444488888888882488
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-11111-111-1-1-1-11-1111-1-1-11-1-11-1
χ31111111111111111111-1-111-1-1-1-1-11111-11-1-111-1-1-1-1-1-11-11
χ41111111111111111111-1-1-1-1-1-1-1-1111-1-11-1-1111-1111-11-1-1-1
χ511111111111111111-1-1111111111-1-1-1-111-111-1-11-1-11-1-1-11
χ611111111111111111-1-111-1-11111-1-1-111-1-1-1-11-1-1-111111-1-1
χ711111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-11-11-111-11-111
χ811111111111111111-1-1-1-1-1-1-1-1-1-11-1-1111-1111-111-1-1-1-111-1
χ9111111111111111-1-1111111-1-1-1-11-1-11111-1-1-11-1-1-1-111-11-1
χ10111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1111
χ11111111111111111-1-111-1-1111111-1-1-111-1111-111111-1-1-1-1-1
χ12111111111111111-1-111-1-1-1-111111-1-1-1-11-11-1-111-1-1-1-111-11
χ13111111111111111-1-1-1-11111-1-1-1-1111-1-1111-1-1-11-1111-11-1-1
χ14111111111111111-1-1-1-111-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-11
χ15111111111111111-1-1-1-1-1-1111111-111-1-1-11-11-1-1-11-1-1-1111-1
χ16111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-111-1-1-111
χ172222222-222-22-2-2-2002200220000000-220-2000-2000000000
χ182222222-222-22-2-2-2002200-2-200000002-202000-2000000000
χ192222222-222-22-2-2-200-2-2002200000002-20-20002000000000
χ202222222-222-22-2-2-200-2-200-2-20000000-22020002000000000
χ212222-2-222-2-2222-2-200002200000002-200002000-2000-20000
χ222222-2-222-2-2222-2-20000220000000-220000-20002000-20000
χ232222-2-222-2-2222-2-20000-2-200000002-20000-2000200020000
χ242222-2-222-2-2222-2-20000-2-20000000-2200002000-200020000
χ252222-2-2-22222-2-22-222000000000020000-200-2-20020000000
χ262222-2-2-22222-2-22-2220000000000-200002002-200-20000000
χ272222-2-2-22222-2-22-2-2-2000000000020000-2002200-20000000
χ282222-2-2-22222-2-22-2-2-20000000000-20000200-220020000000
χ29444444-44-4-44-4-4-4400000000000000000000000000000000
χ30444444-4-4-4-4-4-444-400000000000000000000000000000000
χ314444-4-44-4-4-4-44-44400000000000000000000000000000000
χ324444-4-4-4-444-4-44-4400000000000000000000000000000000
χ3344-4-4000-4004000022−22002i2−2i2002i2i−2i−2i00000000000000000000
χ3444-4-4000-4004000022−2200−2i22i200−2i−2i2i2i00000000000000000000
χ3544-4-4000-40040000−2222002i2−2i200−2i−2i2i2i00000000000000000000
χ3644-4-4000-40040000−222200−2i22i2002i2i−2i−2i00000000000000000000
χ374-4-444-4404-40-40000000004i−4i000000000000000000000000
χ384-4-444-4404-40-4000000000−4i4i000000000000000000000000
χ394-4-444-4-40-4404000004-40000000000000000000000000000
χ404-4-444-4-40-440400000-440000000000000000000000000000
χ414-4-44-4440-440-400000000000000000000000000002i2−2i200000
χ424-4-44-4440-440-40000000000000000000000000000−2i22i200000
χ434-4-44-44-404-4040000000000022−2222−2200000000000000000000
χ444-4-44-44-404-40400000000000−2222−222200000000000000000000
χ4588-8-8000800-8000000000000000000000000000000000000
χ468-88-800000000000000000002i2−2i2−2i22i200000000000000000000
χ478-88-80000000000000000000−2i22i22i2−2i200000000000000000000

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