Finite Group Databasebeta

← Group #317960

Character table — Group #317960

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111222222222222224444444444444444444444441616161616161616161616161616161632323232
order12224444448888888824448888888888888888888822244444888888888888
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-111-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1111-1-111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-111-111-1-1-1-1-1-111-1-1
χ611111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-111
χ711111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111
χ811111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111111111-1-1
χ91111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11-11111-11-1-1-1-111-1-11-11-1
χ101111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-11-1-1111111-1-1-11-11
χ111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-111-11-11
χ121111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-1-11-11111-1-1111-11-1
χ131111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-11-1-1-1-111-1-1111-1-11
χ141111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1111-1-1-1-111-111-1
χ151111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-11-1-1-11111-1-1-111-1
χ161111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-11-11111-1-111-1-11-1-11
χ172222222-2-2222222222-2-2-2222-2-222-2-2-2-2-2-22222-2-2-2-200000000000000000000
χ182222222-2-222222-2-2-2-2-2-2-22-2-22222-2-2-2-222-2-2-2-2222200000000000000000000
χ192222222-2-22-2-2-2-22222-2-2-2222-2-2-2-22222-2-2-2-2-2-2222200000000000000000000
χ202222222-2-22-2-2-2-2-2-2-2-2-2-2-22-2-222-2-22222222222-2-2-2-200000000000000000000
χ2122222-2-222200002222-22-2-2-2-222000000-2-200000000002-2200-2000000000000
χ2222222-2-222200002222-22-2-2-2-222000000-2-20000000000-22-2002000000000000
χ2322222-2-22220000-2-2-2-2-22-2-222-2-20000002200000000002-2-2002000000000000
χ2422222-2-22220000-2-2-2-2-22-2-222-2-2000000220000000000-22200-2000000000000
χ2522222-2-2-2-22000022222-22-2-2-2-2-20000002200000000000000002i−2i2i−2i00000000
χ2622222-2-2-2-22000022222-22-2-2-2-2-2000000220000000000000000−2i2i−2i2i00000000
χ2722222-2-2-2-220000-2-2-2-22-22-22222000000-2-200000000000000002i−2i−2i2i00000000
χ2822222-2-2-2-220000-2-2-2-22-22-22222000000-2-20000000000000000−2i2i2i−2i00000000
χ292222-22222-222220000-2-22-20000-2-222-2-200000000002-2000-220000000000000
χ302222-22222-222220000-2-22-20000-2-222-2-20000000000-220002-20000000000000
χ312222-22222-2-2-2-2-20000-2-22-2000022-2-222000000000022000-2-20000000000000
χ322222-22222-2-2-2-2-20000-2-22-2000022-2-2220000000000-2-2000220000000000000
χ332222-222-2-2-22222000022-2-20000-2-2-2-22200000000000000000000002i−2i2i−2i0000
χ342222-222-2-2-22222000022-2-20000-2-2-2-2220000000000000000000000−2i2i−2i2i0000
χ352222-222-2-2-2-2-2-2-2000022-2-200002222-2-200000000000000000000002i−2i−2i2i0000
χ362222-222-2-2-2-2-2-2-2000022-2-200002222-2-20000000000000000000000−2i2i2i−2i0000
χ374444-4-4-444-4000000004-4-440000000000000000000000000000000000000000
χ384444-4-4-4-4-4-400000000-44440000000000000000000000000000000000000000
χ3944-4-40004-402i22i2−2i2−2i22222−22−2200000022−22002i2−2i200002i2i−2i−2i2i2i−2i−2i00000000000000000000
χ4044-4-40004-402i22i2−2i2−2i2−22−222222000000−2222002i2−2i20000−2i−2i2i2i−2i−2i2i2i00000000000000000000
χ4144-4-40004-40−2i2−2i22i22i22222−22−2200000022−2200−2i22i20000−2i−2i2i2i−2i−2i2i2i00000000000000000000
χ4244-4-40004-40−2i2−2i22i22i2−22−222222000000−222200−2i22i200002i2i−2i−2i2i2i−2i−2i00000000000000000000
χ4344-4-4000-4402i22i2−2i2−2i22222−22−22000000−222200−2i22i200002i2i−2i−2i−2i−2i2i2i00000000000000000000
χ4444-4-4000-4402i22i2−2i2−2i2−22−22222200000022−2200−2i22i20000−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ4544-4-4000-440−2i2−2i22i22i22222−22−22000000−2222002i2−2i20000−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ4644-4-4000-440−2i2−2i22i22i2−22−22222200000022−22002i2−2i200002i2i−2i−2i−2i−2i2i2i00000000000000000000
χ474-44-404-400000002i2−2i22i2−2i200002i2−2i20000004-40000002i2−2i22i2−2i200000000000000000000
χ484-44-404-400000002i2−2i22i2−2i200002i2−2i2000000-44000000−2i22i2−2i22i200000000000000000000
χ494-44-404-40000000−2i22i2−2i22i20000−2i22i20000004-4000000−2i22i2−2i22i200000000000000000000
χ504-44-404-40000000−2i22i2−2i22i20000−2i22i2000000-440000002i2−2i22i2−2i200000000000000000000
χ514-44-40-440004i−4i4i−4i2i2−2i22i2−2i20000−2i22i2000000000022−2222−22000000000000000000000000
χ524-44-40-440004i−4i4i−4i−2i22i2−2i22i200002i2−2i20000000000−2222−2222000000000000000000000000
χ534-44-40-44000−4i4i−4i4i2i2−2i22i2−2i20000−2i22i20000000000−2222−2222000000000000000000000000
χ544-44-40-44000−4i4i−4i4i−2i22i2−2i22i200002i2−2i2000000000022−2222−22000000000000000000000000
χ554-4-4440000-422−22−22224i−4i−4i4i0000000022−22000000−2i22i22i2−2i2000000000000000000000000
χ564-4-4440000-422−22−2222−4i4i4i−4i0000000022−220000002i2−2i2−2i22i2000000000000000000000000
χ574-4-4440000-4−222222−224i−4i−4i4i00000000−22220000002i2−2i2−2i22i2000000000000000000000000
χ584-4-4440000-4−222222−22−4i4i4i−4i00000000−2222000000−2i22i22i2−2i2000000000000000000000000
χ594-4-44-40000422−22−2222000000000000−222200004-4000022−22−222200000000000000000000
χ604-4-44-40000422−22−2222000000000000−22220000-440000−222222−2200000000000000000000
χ614-4-44-400004−222222−2200000000000022−2200004-40000−222222−2200000000000000000000
χ624-4-44-400004−222222−2200000000000022−220000-44000022−22−222200000000000000000000

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