Finite Group Databasebeta

← Group #299477

Character table — Group #299477

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222222444444444444444444444444448888161616161616161616161616161632323232
order12222244444444448888888888888888888888882444224444448888882488
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1
χ91111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-1-11-111-1-1-1-11-11-1
χ101111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1111-1111-1-1-1-1-11-11
χ111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-11-1-111111-1-11
χ121111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-11111-111-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-11-1-1-111-1-1-11-11
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1111-11-1-111-1-11-11-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-11-1-1-1111-1-111-111-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1111-111-1-1111-1-11
χ172222222-2-2-2-2222-2-22222-2-2-2-2000000000000000022-2-20000000000002-20000
χ182222222-2-2-2-2222-2-22222-2-2-2-20000000000000000-2-222000000000000-220000
χ192222222-2-2-2-2222-2-2-2-2-2-22222000000000000000022-2-2000000000000-220000
χ202222222-2-2-2-2222-2-2-2-2-2-222220000000000000000-2-2220000000000002-20000
χ212222-2-2222-2-2-2-22-22000000002222-2-2-2-2000000002-22-2000000002-200000000
χ222222-2-2222-2-2-2-22-22000000002222-2-2-2-200000000-22-2200000000-2200000000
χ232222-2-2222-2-2-2-22-2200000000-2-2-2-22222000000002-22-200000000-2200000000
χ242222-2-2222-2-2-2-22-2200000000-2-2-2-2222200000000-22-22000000002-200000000
χ252222-2-22-2-222-2-222-200000000000000002222-2-2-2-22-2-2200000000002-2000000
χ262222-2-22-2-222-2-222-200000000000000002222-2-2-2-2-222-20000000000-22000000
χ272222-2-22-2-222-2-222-20000000000000000-2-2-2-222222-2-220000000000-22000000
χ282222-2-22-2-222-2-222-20000000000000000-2-2-2-22222-222-200000000002-2000000
χ292222-2-2-2222222-2-2-222-2-222-2-200000000000000000000002200-2-20000000000
χ302222-2-2-2222222-2-2-222-2-222-2-20000000000000000000000-2-200220000000000
χ312222-2-2-2222222-2-2-2-2-222-2-22200000000000000000000002-200-220000000000
χ322222-2-2-2222222-2-2-2-2-222-2-2220000000000000000000000-22002-20000000000
χ332222-2-2-2-2-2-2-222-22222-2-2-2-222000000000000000000002-2002-2000000000000
χ342222-2-2-2-2-2-2-222-22222-2-2-2-22200000000000000000000-2200-22000000000000
χ352222-2-2-2-2-2-2-222-222-2-22222-2-2000000000000000000002-200-22000000000000
χ362222-2-2-2-2-2-2-222-222-2-22222-2-200000000000000000000-22002-2000000000000
χ37444444-444-4-4-4-4-44-40000000000000000000000000000000000000000000000
χ38444444-4-4-444-4-4-4-440000000000000000000000000000000000000000000000
χ3944-4-44-4400004-4-400000000002222−22−222222−22−22000000000000000000000000000000
χ4044-4-44-4400004-4-40000000000−22−222222−22−222222000000000000000000000000000000
χ4144-4-44-4-40000-4440000000000000000002i22i2−2i2−2i22i22i2−2i2−2i20000000000000000000000
χ4244-4-44-4-40000-444000000000000000000−2i2−2i22i22i2−2i2−2i22i22i20000000000000000000000
χ4344-4-4-4440000-44-400000000002222−22−22−22−222222000000000000000000000000000000
χ4444-4-4-4440000-44-40000000000−22−2222222222−22−22000000000000000000000000000000
χ4544-4-4-44-400004-440000000000000000002i22i2−2i2−2i2−2i2−2i22i22i20000000000000000000000
χ4644-4-4-44-400004-44000000000000000000−2i2−2i22i22i22i22i2−2i2−2i20000000000000000000000
χ474-44-40004-40000000002i2−2i2002i2−2i2000022−2222−222i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ484-44-40004-40000000002i2−2i2002i2−2i20000−2222−2222−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ494-44-40004-4000000000−2i22i200−2i22i2000022−2222−22−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ504-44-40004-4000000000−2i22i200−2i22i20000−2222−22222i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ514-44-4000-440000000002i2−2i200−2i22i222−2222−2200002i−2i2i−2i−2i2i−2i2i0000000000000000000000
χ524-44-4000-440000000002i2−2i200−2i22i2−2222−22220000−2i2i−2i2i2i−2i2i−2i0000000000000000000000
χ534-44-4000-44000000000−2i22i2002i2−2i222−2222−220000−2i2i−2i2i2i−2i2i−2i0000000000000000000000
χ544-44-4000-44000000000−2i22i2002i2−2i2−2222−222200002i−2i2i−2i−2i2i−2i2i0000000000000000000000
χ554-4-44000004-40000022−220022−22002-2-222-2-2222−22−222200000000000000000000000000
χ564-4-44000004-40000022−220022−2200-222-2-222-2−222222−2200000000000000000000000000
χ574-4-44000004-400000−222200−2222002-2-222-2-22−222222−2200000000000000000000000000
χ584-4-44000004-400000−222200−222200-222-2-222-222−22−222200000000000000000000000000
χ594-4-4400000-440000022−2200−2222002-2-22-222-2000022−22−22220000000000000000000000
χ604-4-4400000-440000022−2200−222200-222-22-2-220000−222222−220000000000000000000000
χ614-4-4400000-4400000−22220022−22002-2-22-222-20000−222222−220000000000000000000000
χ624-4-4400000-4400000−22220022−2200-222-22-2-22000022−22−22220000000000000000000000

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