Finite Group Databasebeta

← Group #323250

Character table — Group #323250

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222224444444444888888888888888816161616161616161616161632323232
order12222244444444448888888888888888888888882444888888882444
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-111-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ611111111111111111111-1-1-1-111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111111111111111-1-1-1-11111-1-111111-1-1-1-11-1-1-1-111-1-111-1-111-1-11-11-1
χ101111111111111111-1-1-1-11111-1-111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-111-11-11
χ111111111111111111-1-1-1-11111-1-11-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-11-11
χ121111111111111111-1-1-1-11111-1-11-1-1-1-111111-1-1-1-1-1-111-1-111-1-1111-11-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-111-1-1111-1-11
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-111-1-11111-1-1-111-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111111-1-111-1-1-1-111-111-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-11111-1-111-1-11-1-11
χ172222222-2-222-2-22-2-2000022-2-200222-2-20000-2000000002-20000000000
χ182222222-2-222-2-22-2-2000022-2-2002-2-2220000-200000000-220000000000
χ192222222-2-222-2-22-2-20000-2-22200-222-2-20000200000000-220000000000
χ202222222-2-222-2-22-2-20000-2-22200-2-2-22200002000000002-20000000000
χ21222222-222-2-2-2-2-22-222-2-200002-200000000000000000000002i−2i2i−2i0000
χ22222222-222-2-2-2-2-22-222-2-200002-20000000000000000000000−2i2i−2i2i0000
χ23222222-222-2-2-2-2-22-2-2-2220000-2200000000000000000000002i−2i−2i2i0000
χ24222222-222-2-2-2-2-22-2-2-2220000-220000000000000000000000−2i2i2i−2i0000
χ252222-2-2222-2-2-2-22-2222-2-22222-22-200000000-222-2-20000000000000000
χ262222-2-2222-2-2-2-22-2222-2-2-2-2-2-2-222000000002-2-2220000000000000000
χ272222-2-2222-2-2-2-22-22-2-22222222-2-200000000-2-2-2220000000000000000
χ282222-2-2222-2-2-2-22-22-2-222-2-2-2-22-2200000000222-2-20000000000000000
χ292222-2-22-2-2-2-22222-2000022-2-200-2000022-2-2200000000002-200000000
χ302222-2-22-2-2-2-22222-2000022-2-200-20000-2-22220000000000-2200000000
χ312222-2-22-2-2-2-22222-20000-2-222002000022-2-2-20000000000-2200000000
χ322222-2-22-2-2-2-22222-20000-2-2220020000-2-222-200000000002-200000000
χ332222-2-2-2222222-2-2-222220000-2-2000000000000002-2-22000000000000
χ342222-2-2-2222222-2-2-222220000-2-200000000000000-222-2000000000000
χ352222-2-2-2222222-2-2-2-2-2-2-2000022000000000000002-22-2000000000000
χ362222-2-2-2222222-2-2-2-2-2-2-200002200000000000000-22-22000000000000
χ37444444-4-4-4-4-444-4-440000000000000000000000000000000000000000
χ384444-4-4-4-4-444-4-4-4440000000000000000000000000000000000000000
χ3944-4-44-44004-400-40000000000000004-40000000000000000000000000
χ4044-4-44-44004-400-4000000000000000-440000000000000000000000000
χ4144-4-44-4-400-44004000000000000000002i2−2i22i2−2i2000000000000000000000
χ4244-4-44-4-400-4400400000000000000000−2i22i2−2i22i2000000000000000000000
χ4344-4-4-44400-4400-400000000000004-4000000000000000000000000000
χ4444-4-4-44400-4400-40000000000000-44000000000000000000000000000
χ4544-4-4-44-4004-4004000000000000000002i2−2i2−2i22i2000000000000000000000
χ4644-4-4-44-4004-400400000000000000000−2i22i22i2−2i2000000000000000000000
χ474-4-440004-40000000004-422−2222−220000000000000022−220000000000000000
χ484-4-440004-40000000004-4−2222−222200000000000000−22220000000000000000
χ494-4-440004-4000000000-4422−2222−2200000000000000−22220000000000000000
χ504-4-440004-4000000000-44−2222−22220000000000000022−220000000000000000
χ514-4-44000-4400000004-40022−22−222200000000000022−22000000000000000000
χ524-4-44000-4400000004-400−222222−22000000000000−2222000000000000000000
χ534-4-44000-440000000-440022−22−2222000000000000−2222000000000000000000
χ544-4-44000-440000000-4400−222222−2200000000000022−22000000000000000000
χ558-88-800000008-80000000000000000000000000000000000000000000
χ568-88-80000000-880000000000000000000000000000000000000000000

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