Finite Group Databasebeta

← Group #277836

Character table — Group #277836

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444444444444888888888888444444448888888844
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-11-111111-111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-1-1-11111-1-1-1-11111-1-1-11-1-111-1-1-1-11-1
χ41111111111111111111111-1-111-1-1-1-1-1-1-1-111111-111-1-1-1-1-1-1-1-11111-11
χ511111111111111111111-1-111-1-11111111111111-1-1-11-1-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-11-1-11-1-1-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-111-11111-1-111-11
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111111-1-111-1-11-1
χ9111111111111111111-1-1111111-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-111-1-1-11
χ10111111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-111-1-1111-1
χ11111111111111111111-1-111-1-111111111111111-11-1-1-1-1-1111-1-1-1-111-1-1
χ12111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ13111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-111-1-111111-1
χ14111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-11111-1-111111-1-1-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1111111111111-1-111-111-1-1-1-1-1-1-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1111-1-1111111-1-1
χ172222222222-2-222-2-2-2-22200220022-2-200000000-2000-20000000000000
χ182222222222-2-222-2-2-2-22200-2-200-2-22200000000-200020000000000000
χ192222222222-2-222-2-2-2-2-2-2002200-2-222000000002000-20000000000000
χ202222222222-2-222-2-2-2-2-2-200-2-20022-2-200000000200020000000000000
χ2122222222-2-222-2-222-2-2002200-2-2000022-2-200000200000-20000000000
χ2222222222-2-222-2-222-2-2002200-2-20000-2-22200000-20000020000000000
χ2322222222-2-222-2-222-2-200-2-20022000022-2-200000-20000020000000000
χ2422222222-2-222-2-222-2-200-2-200220000-2-22200000200000-20000000000
χ2522-2-22-2-2222-2-2-2-2222-2002-2002-2000000002i2i−2i−2i000000000000002i−2i00
χ2622-2-22-2-2222-2-2-2-2222-2002-2002-200000000−2i−2i2i2i00000000000000−2i2i00
χ2722-2-22-2-2222-2-2-2-2222-200-2200-22000000002i2i−2i−2i00000000000000−2i2i00
χ2822-2-22-2-2222-2-2-2-2222-200-2200-2200000000−2i−2i2i2i000000000000002i−2i00
χ2922-2-22-2-22-2-22222-2-22-2000000002-22-200000000002i−2i02i−2i00000000000
χ3022-2-22-2-22-2-22222-2-22-2000000002-22-20000000000−2i2i0−2i2i00000000000
χ3122-2-22-2-22-2-22222-2-22-200000000-22-2200000000002i−2i0−2i2i00000000000
χ3222-2-22-2-22-2-22222-2-22-200000000-22-220000000000−2i2i02i−2i00000000000
χ3322-2-22-2-22-2-2-2-22222-22002-200-222-2-2200000000000000002-200000000
χ3422-2-22-2-22-2-2-2-22222-22002-200-22-222-20000000000000000-2200000000
χ3522-2-22-2-22-2-2-2-22222-2200-22002-22-2-220000000000000000-2200000000
χ3622-2-22-2-22-2-2-2-22222-2200-22002-2-222-200000000000000002-200000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ38444-4-44-4-44-4004-4000000000000000000000000000000000022−22000000
χ39444-4-44-4-44-4004-40000000000000000000000000000000000−2222000000
χ40444-4-44-4-4-4400-4400004-4000000000000000000000000000000000000
χ41444-4-44-4-4-4400-440000-44000000000000000000000000000000000000
χ4244-44-4-44-44-400-44000000004-400000000000000000000000000000000
χ4344-44-4-44-44-400-4400000000-4400000000000000000000000000000000
χ4444-44-4-44-4-44004-400000000000000000000000000000000000022−220000
χ4544-44-4-44-4-44004-4000000000000000000000000000000000000−22220000
χ4644-4-44-4-444444-4-4-4-4-4400000000000000000000000000000000000000
χ474-4444-4-4-4004-4004-400000000000000000022−2222−22000000000000000000
χ484-4444-4-4-4004-4004-4000000000000000000−2222−2222000000000000000000
χ494-4444-4-4-400-4400-44000000000000004-4000000000000000000000000
χ504-4444-4-4-400-4400-4400000000000000-44000000000000000000000000
χ514-4-4-4444-4004-400-4400000000000000004i−4i0000000000000000000000
χ524-4-4-4444-4004-400-440000000000000000−4i4i0000000000000000000000
χ534-4-4-4444-400-44004-40000000000000000002i2−2i2−2i22i2000000000000000000
χ544-4-4-4444-400-44004-4000000000000000000−2i22i22i2−2i2000000000000000000
χ558-88-8-8-888000000000000000000000000000000000000000000000000
χ568-8-88-88-88000000000000000000000000000000000000000000000000

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