Finite Group Databasebeta

← Group #265088

Character table — Group #265088

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1111222222224444444444444888888888881616161616161616161616161616161616163232
order12222244444444444448888882244448888844444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-111-1-111111-1-1-11-1-1-11111111-1-1-1-1-1-1
χ41111111111111111111111111-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-1-11-1
χ61111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-1-11111-1-111-11
χ71111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1111-1-1-1-1-1-111-11
χ81111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-1-1-1-1111111-1-11-1
χ91111111111111-1-1-1-11111111111-1-1111-1-1-1-11-1-111-1-11-1-111-1-1-1-1-1-111
χ101111111111111-1-1-1-11111111111-1-1111-1-1-1-11-1-1-11-1-1-111-1-1111111-1-1
χ111111111111111-1-1-1-111111111-1-1-1-1-1-11-1-1-1-1-1111-1111-1-111-1-11111-1-1
χ121111111111111-1-1-1-111111111-1-1-1-1-1-11-1-1-1-1-111-1-111-111-1-111-1-1-1-111
χ131111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-11111-11111-1-11-1-1-1-111-1-1111-1
χ141111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-11111-111-11-1-1-11111-1-111-1-1-11
χ151111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-111111-1-11-1111-1-1-1-11111-1-1-11
χ161111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-111111-1-1-1-111-11111-1-1-1-1111-1
χ172222222-2-2222-20000-2-22222-2-2220022-20000-2000-2000000000000000
χ182222222-2-2222-20000-2-22222-2-2-2-200-2-2-2000020002000000000000000
χ192222222-2-2222-20000-2-2-2-2-2-2222200-2-2200002000-2000000000000000
χ202222222-2-2222-20000-2-2-2-2-2-222-2-2002220000-20002000000000000000
χ21222222-222-2-2-222222-2-200000000-2-2000000000000000002i−2i2i−2i000000
χ22222222-222-2-2-222222-2-200000000-2-200000000000000000−2i2i−2i2i000000
χ23222222-222-2-2-22-2-2-2-2-2-20000000022000000000000000002i−2i−2i2i000000
χ24222222-222-2-2-22-2-2-2-2-2-2000000002200000000000000000−2i2i2i−2i000000
χ252222-2-2222-2-22-222-2-2-22000000002-200000000002000-22-20000000000
χ262222-2-2222-2-22-222-2-2-22000000002-20000000000-20002-220000000000
χ272222-2-2222-2-22-2-2-222-2200000000-2200000000002000-2-220000000000
χ282222-2-2222-2-22-2-2-222-2200000000-220000000000-200022-20000000000
χ292222-2-2-22222-2-222-2-22-222-2-22200-2200-222-2-200000000000000000000
χ302222-2-2-22222-2-222-2-22-2-2-222-2-200-22002-2-22200000000000000000000
χ312222-2-2-22222-2-2-2-2222-222-2-222002-200-2-2-22200000000000000000000
χ322222-2-2-22222-2-2-2-2222-2-2-222-2-2002-200222-2-200000000000000000000
χ332222-2-2-2-2-222-220000-2222-2-2-2-20000002000002-2002-20000000000000
χ342222-2-2-2-2-222-220000-2222-2-2-2-2000000200000-2200-220000000000000
χ352222-2-2-2-2-222-220000-22-2-22222000000-2000002-200-220000000000000
χ362222-2-2-2-2-222-220000-22-2-22222000000-200000-22002-20000000000000
χ37444444-4-4-4-4-4-4-40000440000000000000000000000000000000000000
χ384444-4-44-4-4-4-44400004-40000000000000000000000000000000000000
χ3944-4-44-44004-4-40000000000000000000000000000000000000022−220000
χ4044-4-44-44004-4-400000000000000000000000000000000000000−22220000
χ4144-4-44-4-400-444000000000000000004i−4i0000000000000000000000000
χ4244-4-44-4-400-44400000000000000000−4i4i0000000000000000000000000
χ4344-4-4-44400-44-400000000000004-400000000000000000000000000000
χ4444-4-4-44400-44-40000000000000-4400000000000000000000000000000
χ4544-4-4-44-4004-4400000000000000000000000000000000000000002i2−2i200
χ4644-4-4-44-4004-440000000000000000000000000000000000000000−2i22i200
χ474-4-440004-40000004-4002i2−2i2002i2−2i20000000002i2−2i200000000000000000000
χ484-4-440004-40000004-400−2i22i200−2i22i2000000000−2i22i200000000000000000000
χ494-4-440004-4000000-44002i2−2i2002i2−2i2000000000−2i22i200000000000000000000
χ504-4-440004-4000000-4400−2i22i200−2i22i20000000002i2−2i200000000000000000000
χ514-4-44000-4400004-400002i2−2i200−2i22i200000002i2−2i20000000000000000000000
χ524-4-44000-4400004-40000−2i22i2002i2−2i20000000−2i22i20000000000000000000000
χ534-4-44000-440000-4400002i2−2i200−2i22i20000000−2i22i20000000000000000000000
χ544-4-44000-440000-440000−2i22i2002i2−2i200000002i2−2i20000000000000000000000
χ558-88-80000000000000000042−42000000000000000000000000000000000
χ568-88-800000000000000000−4242000000000000000000000000000000000

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