Finite Group Databasebeta

← Group #299479

Character table — Group #299479

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222222444444444444444444444444448888161616161616161616161616161632323232
order12222244444444448888888888888888888888882444444444448888882488
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
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
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1
χ91111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-11-11-1
χ101111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-11-11
χ111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111-1-11
χ121111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-111-1-1-11-11
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-111-1-11-11-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-111-111-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1111-1-11
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
χ212222-2-2222-2-2-2-222-200000000000000002222-2-2-2-22-22-200000000002-2000000
χ222222-2-2222-2-2-2-222-200000000000000002222-2-2-2-2-22-220000000000-22000000
χ232222-2-2222-2-2-2-222-20000000000000000-2-2-2-222222-22-20000000000-22000000
χ242222-2-2222-2-2-2-222-20000000000000000-2-2-2-22222-22-2200000000002-2000000
χ252222-2-22-2-222-2-22-22000000002222-2-2-2-2000000002-2-22000000002-200000000
χ262222-2-22-2-222-2-22-22000000002222-2-2-2-200000000-222-200000000-2200000000
χ272222-2-22-2-222-2-22-2200000000-2-2-2-22222000000002-2-2200000000-2200000000
χ282222-2-22-2-222-2-22-2200000000-2-2-2-2222200000000-222-2000000002-200000000
χ292222-2-2-2222222-2-2-222-2-222-2-20000000000000000000000002-22-20000000000
χ302222-2-2-2222222-2-2-222-2-222-2-2000000000000000000000000-22-220000000000
χ312222-2-2-2222222-2-2-2-2-222-2-2220000000000000000000000002-2-220000000000
χ322222-2-2-2222222-2-2-2-2-222-2-222000000000000000000000000-222-20000000000
χ332222-2-2-2-2-2-2-222-22222-2-2-2-222000000000000000000002-22-200000000000000
χ342222-2-2-2-2-2-2-222-22222-2-2-2-22200000000000000000000-22-2200000000000000
χ352222-2-2-2-2-2-2-222-222-2-22222-2-2000000000000000000002-2-2200000000000000
χ362222-2-2-2-2-2-2-222-222-2-22222-2-200000000000000000000-222-200000000000000
χ37444444-444-4-4-4-4-4-440000000000000000000000000000000000000000000000
χ38444444-4-4-444-4-4-44-40000000000000000000000000000000000000000000000
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
χ474-44-4000004-400000002i2−2i2002i2−2i200002i2−2i22i2−2i22-22-22-22-20000000000000000000000
χ484-44-4000004-400000002i2−2i2002i2−2i20000−2i22i2−2i22i2-22-22-22-220000000000000000000000
χ494-44-4000004-40000000−2i22i200−2i22i200002i2−2i22i2−2i2-22-22-22-220000000000000000000000
χ504-44-4000004-40000000−2i22i200−2i22i20000−2i22i2−2i22i22-22-22-22-20000000000000000000000
χ514-44-400000-4400000002i2−2i200−2i22i22i2−2i22i2−2i200002-22-2-22-220000000000000000000000
χ524-44-400000-4400000002i2−2i200−2i22i2−2i22i2−2i22i20000-22-222-22-20000000000000000000000
χ534-44-400000-440000000−2i22i2002i2−2i22i2−2i22i2−2i20000-22-222-22-20000000000000000000000
χ544-44-400000-440000000−2i22i2002i2−2i2−2i22i2−2i22i200002-22-2-22-220000000000000000000000
χ554-4-440004-4000000022−220022−22002i−2i−2i2i2i−2i−2i2i2i2−2i2−2i22i200000000000000000000000000
χ564-4-440004-4000000022−220022−2200−2i2i2i−2i−2i2i2i−2i−2i22i22i2−2i200000000000000000000000000
χ574-4-440004-40000000−222200−2222002i−2i−2i2i2i−2i−2i2i−2i22i22i2−2i200000000000000000000000000
χ584-4-440004-40000000−222200−222200−2i2i2i−2i−2i2i2i−2i2i2−2i2−2i22i200000000000000000000000000
χ594-4-44000-44000000022−2200−2222002i−2i−2i2i−2i2i2i−2i00002i2−2i2−2i22i20000000000000000000000
χ604-4-44000-44000000022−2200−222200−2i2i2i−2i2i−2i−2i2i0000−2i22i22i2−2i20000000000000000000000
χ614-4-44000-440000000−22220022−22002i−2i−2i2i−2i2i2i−2i0000−2i22i22i2−2i20000000000000000000000
χ624-4-44000-440000000−22220022−2200−2i2i2i−2i2i−2i−2i2i00002i2−2i2−2i22i20000000000000000000000

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