Finite Group Databasebeta

← Group #344964

Character table — Group #344964

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444422444444888888888888444444448888888844
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-111-1-1-1-111-1-1-1-11-1-1-11111-1-1-1-111-1-1-11
χ31111111111111111111111-1-111-1-11111-1-1-1-1-1-111111-1-1-111-1-1-1-1-1-1-11
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-11-1-1-1-1-111-1-11111
χ511111111111111111111-1-1111111-1-1-1-111-1-1-1-11111-11-1-1-1-1-1-1-1-1111-1
χ611111111111111111111-1-111-1-11111111111111-1-1-1-11-1-11111-1-1-1-1-1-1
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-11111-1-111111-1
χ9111111111111111111-1-1111111-1-11111-1-1-1-1-1-1-11-1-11111-1-111-1-1-1-11-1
χ10111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1
χ11111111111111111111-1-111-1-111111111111111-11-1-11-1-1-1-1-1-1-11111-1-1
χ12111111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111-1-1-1111111-1-11-1
χ13111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-1-11-1-111-1-111-1-111
χ14111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-11-1-1-1-1111111-11
χ15111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-11-1-1-1-1111111-1-111-11
χ16111111111111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-111
χ172222222222-22-2-2-22-2-222002200220000-2-20000-20000-2000000000000
χ182222222222-22-2-2-22-2-22200-2-200-2-20000220000-200002000000000000
χ192222222222-22-2-2-22-2-2-2-2002200-2-2000022000020000-2000000000000
χ202222222222-22-2-2-22-2-2-2-200-2-200220000-2-20000200002000000000000
χ2122222222-2-22-2222-2-2-2002200220022-2-20000000-200-20000000000000
χ2222222222-2-22-2222-2-2-2002200-2-200-2-2220000000200-20000000000000
χ2322222222-2-22-2222-2-2-200-2-2002200-2-2220000000-20020000000000000
χ2422222222-2-22-2222-2-2-200-2-200-2-20022-2-2000000020020000000000000
χ2522-22-2-2-22-2-222-22-222-200000000000000002i2i−2i−2i002i−2i002-20000000000
χ2622-22-2-2-22-2-222-22-222-200000000000000002i2i−2i−2i00−2i2i00-220000000000
χ2722-22-2-2-22-2-222-22-222-20000000000000000−2i−2i2i2i002i−2i00-220000000000
χ2822-22-2-2-22-2-222-22-222-20000000000000000−2i−2i2i2i00−2i2i002-20000000000
χ2944444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ30444-4-4-44-44-404000-40000000000000000000000000000000022−22000000
χ31444-4-4-44-44-404000-400000000000000000000000000000000−2222000000
χ32444-4-4-44-4-440-400040000004i−4i00000000000000000000000000000000
χ33444-4-4-44-4-440-40004000000−4i4i00000000000000000000000000000000
χ3444-44-4-4-44444-4-44-4-4-4400000000000000000000000000000000000000
χ3544-44-4-4-4444-4-44-44-44-400000000000000000000000000000000000000
χ3644-44-4-4-44-4-4-444-444-4400000000000000000000000000000000000000
χ3744-4-444-4-44-40-400040000000000000000000000000000002i2−2i200000000
χ3844-4-444-4-44-40-40004000000000000000000000000000000−2i22i200000000
χ3944-4-444-4-4-4404000-4004-4000000000000000000000000000000000000
χ4044-4-444-4-4-4404000-400-44000000000000000000000000000000000000
χ414-444-44-4-400404-4-40000000004-4000000000000000000000000000000
χ424-444-44-4-400404-4-4000000000-44000000000000000000000000000000
χ434-444-44-4-400-40-44400000000000000000000000000000000000002i2−2i200
χ444-444-44-4-400-40-4440000000000000000000000000000000000000−2i22i200
χ454-44-44-4-4400000000000000000022−222i2−2i200002i−2i2i−2i000000000000000000
χ464-44-44-4-4400000000000000000022−22−2i22i20000−2i2i−2i2i000000000000000000
χ474-44-44-4-44000000000000000000−22222i2−2i20000−2i2i−2i2i000000000000000000
χ484-44-44-4-44000000000000000000−2222−2i22i200002i−2i2i−2i000000000000000000
χ494-4-444-44-40040-4-44000000000000000000000000000000000002i2−2i20000
χ504-4-444-44-40040-4-4400000000000000000000000000000000000−2i22i20000
χ514-4-444-44-400-4044-4000004i−4i0000000000000000000000000000000000
χ524-4-444-44-400-4044-400000−4i4i0000000000000000000000000000000000
χ534-4-4-4-4444000000000000000000000022−2222−222-2-22000000000000000000
χ544-4-4-4-4444000000000000000000000022−22−2222-222-2000000000000000000
χ554-4-4-4-44440000000000000000000000−222222−22-222-2000000000000000000
χ564-4-4-4-44440000000000000000000000−2222−22222-2-22000000000000000000

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