Finite Group Databasebeta

← Group #277833

Character table — Group #277833

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444422444444888888888888244444448888888844
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111-1-1-1-1-1-1-1111-111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-1-1-111-1-1-1-1111-111-1-1-1-1-1-111-1-11-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-111-1-11-1-1-1-111-1-111-11
χ511111111111111111111-1-1111111-1-1-1-111-1-1-1-11-1-111-111-1-1-1-1-1-111-11
χ611111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-11-1-111-1-11111-1-11-1
χ711111111111111111111-1-111-1-11111111111111-1-1-11-1-1-11111-1-1-1-1-1-1
χ811111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ9111111111111111111-1-111-1-111111111111111-1-1-11-11-1-1-1-1-1-11111-1-1
χ10111111111111111111-1-111-1-111-1-11111-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-111
χ11111111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1111111111-1-1-11
χ12111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1111111-1-1-1-1111-1
χ13111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1111-1-1-1-11111-1-1111-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-111-1-111-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1111111111111-111-1-1-111-1-1-1-1-1-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-11-111-1-1111111-1-1
χ172222222222-2-22-2-22-2-22200-2-200220000-2-20000-200020000000000000
χ182222222222-2-22-2-22-2-22200-2-200-2-200002200002000-20000000000000
χ192222222222-2-22-2-22-2-2-2-2002200220000-2-200002000-20000000000000
χ202222222222-2-22-2-22-2-2-2-2002200-2-20000220000-200020000000000000
χ2122222222-2-222-222-2-2-2002200220022-2-2000000000-20-2000000000000
χ2222222222-2-222-222-2-2-2002200-2-200-2-22200000000020-2000000000000
χ2322222222-2-222-222-2-2-200-2-2002200-2-222000000000-202000000000000
χ2422222222-2-222-222-2-2-200-2-200-2-20022-2-2000000000202000000000000
χ252-2-2-2222-222-2-2-222-22-200000000002-22-200000002i−2i0002i−2i0000000000
χ262-2-2-2222-222-2-2-222-22-200000000002-22-20000000−2i2i000−2i2i0000000000
χ272-2-2-2222-222-2-2-222-22-20000000000-22-2200000002i−2i000−2i2i0000000000
χ282-2-2-2222-222-2-2-222-22-20000000000-22-220000000−2i2i0002i−2i0000000000
χ292-2-2-2222-2-2-2222-2-222-22-2002-200000000002i2i−2i−2i00000000002i−2i000000
χ302-2-2-2222-2-2-2222-2-222-22-2002-20000000000−2i−2i2i2i0000000000−2i2i000000
χ312-2-2-2222-2-2-2222-2-222-2-2200-2200000000002i2i−2i−2i0000000000−2i2i000000
χ322-2-2-2222-2-2-2222-2-222-2-2200-220000000000−2i−2i2i2i00000000002i−2i000000
χ332-2-2-2222-2-2-2-2-22222-222-200-2200002-2-22000000000000002-200000000
χ342-2-2-2222-2-2-2-2-22222-222-200-220000-222-200000000000000-2200000000
χ352-2-2-2222-2-2-2-2-22222-22-22002-200002-2-2200000000000000-2200000000
χ362-2-2-2222-2-2-2-2-22222-22-22002-20000-222-2000000000000002-200000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ38444-44-4-4-44-400400-400000000000000000022−2222−22000000000000000000
χ39444-44-4-4-44-400400-4000000000000000000−2222−2222000000000000000000
χ40444-44-4-4-4-4400-400400000000004i−4i0000000000000000000000000000
χ41444-44-4-4-4-4400-40040000000000−4i4i0000000000000000000000000000
χ4244-4-4-44-44004-404-4000000000000000000000000000000000002i2−2i20000
χ4344-4-4-44-44004-404-400000000000000000000000000000000000−2i22i20000
χ4444-4-4-44-4400-440-44000004i−4i0000000000000000000000000000000000
χ4544-4-4-44-4400-440-4400000−4i4i0000000000000000000000000000000000
χ464-444-44-4-4004-40-440000000004i−4i000000000000000000000000000000
χ474-444-44-4-4004-40-44000000000−4i4i000000000000000000000000000000
χ484-444-44-4-400-4404-400000000000000000000000000000000000002i2−2i200
χ494-444-44-4-400-4404-40000000000000000000000000000000000000−2i22i200
χ504-4-444-4-444-400-400400000000000000004-40000000000000000000000
χ514-4-444-4-444-400-40040000000000000000-440000000000000000000000
χ524-4-444-4-44-4400400-40000000000000000002i2−2i2−2i22i2000000000000000000
χ534-4-444-4-44-4400400-4000000000000000000−2i22i22i2−2i2000000000000000000
χ544-4-4-4444-44444-4-4-4-4-4400000000000000000000000000000000000000
χ5588-88-8-88-8000000000000000000000000000000000000000000000000
χ568-88-8-8-888000000000000000000000000000000000000000000000000

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