Finite Group Databasebeta

← Group #265068

Character table — Group #265068

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1111222222224444444444444888888888881616161616161616161616161616161616163232
order12222244444444444448888882244448888822444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-111-1-111111-11-1-1-1-1-11111111-1-1-1-1-1-1
χ41111111111111111111111111-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-111-1-11-1
χ61111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-111-11
χ71111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-111111-1-1-1-1-1-111-11
χ81111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-111-1-1-1111111-1-11-1
χ91111111111111-1-1-1-11111111111-1-1111-1-1-1-1111-1-1-1-11-1-111-1-1-1-1-1-111
χ101111111111111-1-1-1-11111111111-1-1111-1-1-1-11-11-1-1-1-1-111-1-1111111-1-1
χ111111111111111-1-1-1-111111111-1-1-1-1-1-11-1-1-1-1-11-111111-1-111-1-11111-1-1
χ121111111111111-1-1-1-111111111-1-1-1-1-1-11-1-1-1-1-1-1-11111-111-1-111-1-1-1-111
χ131111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-11111-111-1-1111-1-1-1-111-1-1111-1
χ141111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-11111-1-11-1-111-11111-1-111-1-1-11
χ151111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1111111-111-1-11-1-1-1-11111-1-1-11
χ161111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-111111-1-111-1-1-11111-1-1-1-1111-1
χ1722222222-2-222-20000-2-22222-2-2220022-20000-20-200000000000000000
χ1822222222-2-222-20000-2-22222-2-2-2-200-2-2-2000020200000000000000000
χ1922222222-2-222-20000-2-2-2-2-2-2222200-2-22000020-200000000000000000
χ2022222222-2-222-20000-2-2-2-2-2-222-2-2002220000-20200000000000000000
χ21222222-2-222-2-222222-2-200000000-2-2000000000000000002i−2i2i−2i000000
χ22222222-2-222-2-222222-2-200000000-2-200000000000000000−2i2i−2i2i000000
χ23222222-2-222-2-22-2-2-2-2-2-20000000022000000000000000002i−2i−2i2i000000
χ24222222-2-222-2-22-2-2-2-2-2-2000000002200000000000000000−2i2i2i−2i000000
χ252222-2-22-2222-2-222-2-2-22000000002-200000000200000-22-20000000000
χ262222-2-22-2222-2-222-2-2-22000000002-200000000-2000002-220000000000
χ272222-2-22-2222-2-2-2-222-2200000000-2200000000200000-2-220000000000
χ282222-2-22-2222-2-2-2-222-2200000000-2200000000-20000022-20000000000
χ292222-2-2-2222-22-222-2-22-222-2-22200-2200-222-2-200000000000000000000
χ302222-2-2-2222-22-222-2-22-2-2-222-2-200-22002-2-22200000000000000000000
χ312222-2-2-2222-22-2-2-2222-222-2-222002-200-2-2-22200000000000000000000
χ322222-2-2-2222-22-2-2-2222-2-2-222-2-2002-200222-2-200000000000000000000
χ332222-2-2-22-2-2-2220000-2222-2-2-2-2000000200000002-22-20000000000000
χ342222-2-2-22-2-2-2220000-2222-2-2-2-200000020000000-22-220000000000000
χ352222-2-2-22-2-2-2220000-22-2-22222000000-200000002-2-220000000000000
χ362222-2-2-22-2-2-2220000-22-2-22222000000-20000000-222-20000000000000
χ37444444-4-4-4-4-4-4-40000440000000000000000000000000000000000000
χ384444-4-44-4-4-44-4400004-40000000000000000000000000000000000000
χ3944-4-400004-4000004i−4i0022−220022−220000000002i2−2i200000000000000000000
χ4044-4-400004-4000004i−4i00−222200−2222000000000−2i22i200000000000000000000
χ4144-4-400004-400000−4i4i0022−220022−22000000000−2i22i200000000000000000000
χ4244-4-400004-400000−4i4i00−222200−22220000000002i2−2i200000000000000000000
χ4344-4-40000-440004i−4i000022−2200−222200000002i2−2i20000000000000000000000
χ4444-4-40000-440004i−4i0000−22220022−220000000−2i22i20000000000000000000000
χ4544-4-40000-44000−4i4i000022−2200−22220000000−2i22i20000000000000000000000
χ4644-4-40000-44000−4i4i0000−22220022−2200000002i2−2i20000000000000000000000
χ474-44-44-44400-4-4000000000000000000000000000000000000000022−2200
χ484-44-44-44400-4-40000000000000000000000000000000000000000−222200
χ494-44-44-4-4-4004400000000000004-400000000000000000000000000000
χ504-44-44-4-4-400440000000000000-4400000000000000000000000000000
χ514-44-4-444-400-44000000000000000004i−4i0000000000000000000000000
χ524-44-4-444-400-4400000000000000000−4i4i0000000000000000000000000
χ534-44-4-44-44004-4000000000000000000000000000000000000002i2−2i20000
χ544-44-4-44-44004-400000000000000000000000000000000000000−2i22i20000
χ558-8-88000000000000000004i2−4i2000000000000000000000000000000000
χ568-8-8800000000000000000−4i24i2000000000000000000000000000000000

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