Finite Group Databasebeta

← Group #264886

Character table — Group #264886

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222222444444888888888888888888161616161616161616161616161616163232
order12222244444444448888224444448888888888222444448888888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-11-1-1-1-111-111-111-1-1-1-111-1-1-1-1
χ31111111111111111111111-1-111-1-111111111111-1-1-1-1-11-11111-1-1-1-1-1-1
χ41111111111111111111111-1-111-1-11-1-1-1-11-1-1-1-11-11-1-111-1-1-1-1-1-1-11111
χ511111111111111111111-1-111-1-1111111111111-1-11-1-11-1-1-1-1-1-11111-1-1
χ611111111111111111111-1-111-1-1111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-11111111111-11-111-1-11-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-111111-111111-1-111-1-1
χ91111111111111111-1-1-1-11111-1-111-11111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1111-1
χ101111111111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1111-1-111-1-1-1-1-11
χ111111111111111111-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-111-1111-111-1-111-1-1-11
χ121111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-11-11-1-1-11111111-1
χ131111111111111111-1-1-1-1-1-1111111-11111-1-1-1-1-111-1-11-1-1-1-1-111-1-111-11
χ141111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111111-111-1-111-1-1-1-1-1-11-1
χ151111111111111111-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-11-111-11-11-1-11111-1-11-1
χ161111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-11-1-1-1111-1-11111-11
χ172222222-22-2-22-22-2-222-2-22200220020000-20000-200000-200000000000
χ182222222-22-2-22-22-2-222-2-2-2-200-2-20020000-20000200000200000000000
χ192222222-22-2-22-22-2-2-2-2222200-2-200-2000020000200000-200000000000
χ202222222-22-2-22-22-2-2-2-222-2-2002200-2000020000-200000200000000000
χ21222222-2-2-2-2-2-2-2-2220000002-2002-202i2i−2i−2i00000000000000000002i−2i00
χ22222222-2-2-2-2-2-2-2-2220000002-2002-20−2i−2i2i2i0000000000000000000−2i2i00
χ23222222-2-2-2-2-2-2-2-222000000-2200-2202i2i−2i−2i0000000000000000000−2i2i00
χ24222222-2-2-2-2-2-2-2-222000000-2200-220−2i−2i2i2i00000000000000000002i−2i00
χ252222-2-222-2-2-222-2-220000002200-2-200000022-2-200200-2000000000000
χ262222-2-222-2-2-222-2-220000002200-2-2000000-2-22200-2002000000000000
χ272222-2-222-2-2-222-2-22000000-2-2002200000022-2-200-2002000000000000
χ282222-2-222-2-2-222-2-22000000-2-20022000000-2-22200200-2000000000000
χ292222-2-2-222-2-2-2222-2222200000000-20000-20000020-2-20020000000000
χ302222-2-2-222-2-2-2222-2222200000000-20000-200000-202200-20000000000
χ312222-2-2-222-2-2-2222-2-2-2-2-20000000020000200000202-200-20000000000
χ322222-2-2-222-2-2-2222-2-2-2-2-20000000020000200000-20-220020000000000
χ332222-2-2-2-2222-2-22-2222-2-2002-200-22-20000200000000000000002-20000
χ342222-2-2-2-2222-2-22-2222-2-200-22002-2-2000020000000000000000-220000
χ352222-2-2-2-2222-2-22-22-2-222002-200-2220000-20000000000000000-220000
χ362222-2-2-2-2222-2-22-22-2-22200-22002-220000-200000000000000002-20000
χ37444444-44-444-44-4-4-40000000000000000000000000000000000000000
χ384444-4-44-4-4444-4-44-40000000000000000000000000000000000000000
χ3944-4-44-440400-40-40000000000000000000000000000000022−2200000000
χ4044-4-44-440400-40-400000000000000000000000000000000−222200000000
χ4144-4-44-4-40-4004040000004-40000000000000000000000000000000000
χ4244-4-44-4-40-400404000000-440000000000000000000000000000000000
χ4344-4-4-4440-400-40400000000004i−4i000000000000000000000000000000
χ4444-4-4-4440-400-4040000000000−4i4i000000000000000000000000000000
χ4544-4-4-44-4040040-400000000000000000000000000000000002i2−2i2000000
χ4644-4-4-44-4040040-40000000000000000000000000000000000−2i22i2000000
χ474-4-4400040000-400022−2222−220000000002i−2i2i−2i02i2−2i200000000000000000000
χ484-4-4400040000-400022−2222−22000000000−2i2i−2i2i0−2i22i200000000000000000000
χ494-4-4400040000-4000−2222−22220000000002i−2i2i−2i0−2i22i200000000000000000000
χ504-4-4400040000-4000−2222−2222000000000−2i2i−2i2i02i2−2i200000000000000000000
χ514-4-44000-40000400022−22−22220000000002-2-2200022−22000000000000000000
χ524-4-44000-40000400022−22−2222000000000-222-2000−2222000000000000000000
χ534-4-44000-400004000−222222−220000000002-2-22000−2222000000000000000000
χ544-4-44000-400004000−222222−22000000000-222-200022−22000000000000000000
χ558-88-8000008i−8i000000000000000000000000000000000000000000000
χ568-88-800000−8i8i000000000000000000000000000000000000000000000

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