Finite Group Databasebeta

← Group #339787

Character table — Group #339787

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222222224448888888888881616161616161616161616161616161632323232
order12222244444444488888888888822444488888888884488
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-1-1-1-1-1111-11-1-1-111-1-1-1-11-11-1-11
χ31111111111111111111-1-1111111-1-1-11-111-11-11-1-1-111-1-1-11
χ41111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111
χ511111111111111111-1-11111-1-1-1-11-1-1111-1-1-11-1-1-1-111-111-1
χ611111111111111111-1-111-1-111111-1-1-11-111-1111111-1-1-1-1-1
χ711111111111111111-1-1-1-111-1-1-1-1-1111-11-11-1-1-1111111-1-1-1
χ811111111111111111-1-1-1-1-1-11111-111-1-1-11-1-1-11-1-1-11-1111-1
χ9111111111111111-1-11111111111-111-1-1-1-1111-11-1-1-11-1-11-1
χ10111111111111111-1-11111-1-1-1-1-1-1-1111-111-1111-111-1-1-11-1-1
χ11111111111111111-1-111-1-11111111-1-1-11-1-1-11-1-1-111-1111-1-1
χ12111111111111111-1-111-1-1-1-1-1-1-1-11-1-1111111-111-1-1-1-11-11-1
χ13111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-111-111-111
χ14111111111111111-1-1-1-111-1-11111-1-1-11-11-11-11-11-1-1-1-111-11
χ15111111111111111-1-1-1-1-1-111-1-1-1-1111-11-111-1-111-1-1-11-11-11
χ16111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111
χ172222222-222-22-2-2-22200220000002000-20000-20000-200000
χ182222222-222-22-2-2-22200-2-2000000-20002000020000-200000
χ192222222-222-22-2-2-2-2-20022000000-200020000-20000200000
χ202222222-222-22-2-2-2-2-200-2-20000002000-2000020000200000
χ212222-2-222-2-2222-2-200000022000002-200002000-2000-20000
χ222222-2-222-2-2222-2-20000002200000-220000-20002000-20000
χ232222-2-222-2-2222-2-2000000-2-2000002-20000-2000200020000
χ242222-2-222-2-2222-2-2000000-2-200000-2200002000-200020000
χ252222-2-2-22222-2-22-200220000000000020-220-20-2000000000
χ262222-2-2-22222-2-22-2002200000000000-202-20-202000000000
χ272222-2-2-22222-2-22-200-2-20000000000020-2-20202000000000
χ282222-2-2-22222-2-22-200-2-200000000000-2022020-2000000000
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
χ3344-4-44-4404-40-400000004-400000000000000000000000000
χ3444-4-44-4404-40-40000000-4400000000000000000000000000
χ3544-4-44-4-40-44040004i−4i000000000000000000000000000000
χ3644-4-44-4-40-4404000−4i4i000000000000000000000000000000
χ3744-4-4-4440-440-4000000000002222−22−2200000000000000000000
χ3844-4-4-4440-440-400000000000−22−22222200000000000000000000
χ3944-4-4-44-404-4040000000000000000000000000002i2−2i2000000
χ4044-4-4-44-404-404000000000000000000000000000−2i22i2000000
χ414-4-44000400-40000002i2−2i20022−222i−2i2i−2i00000000000000000000
χ424-4-44000400-40000002i2−2i200−2222−2i2i−2i2i00000000000000000000
χ434-4-44000400-4000000−2i22i20022−22−2i2i−2i2i00000000000000000000
χ444-4-44000400-4000000−2i22i200−22222i−2i2i−2i00000000000000000000
χ458-88-800000000000000000002i2−2i2−2i22i200000000000000000000
χ468-88-80000000000000000000−2i22i22i2−2i200000000000000000000
χ478-8-88000-8008000000000000000000000000000000000000

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