Finite Group Databasebeta

← Group #259351

Character table — Group #259351

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444444444442222444444444488888888224444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1
χ51111111111111111111111-1-1-1-1111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ81111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ91111111111111111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-11-11-111-1-111-1-111-1-1
χ101111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-11-11-1-1-111-1-111-1-111
χ111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11-1-111-1-11111-1-1
χ121111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1111-1-111-1-1-1-111
χ131111111111111111-1-1-1-111-1-111-1-11111-1-1111111-1-1-1-1-1-1-11-1111-1-1-1-111-1-111
χ141111111111111111-1-1-1-111-1-111-1-11111-1-111-1-1-1-11111-1-1-11-11-1-11111-1-111-1-1
χ151111111111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-111-1-1-11111-1-1-1-111
χ161111111111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111-111-111-1-1-1-11111-1-1
χ1722222222222-2-2-2-222222-2-20000-2-200002222000000000000-2-2000000000000
χ1822222222222-2-2-2-222222-2-20000-2-20000-2-2-2-200000000000022000000000000
χ1922222222222-2-2-2-22-2-2-2-2-2-2000022000022-2-2000000000000-22000000000000
χ2022222222222-2-2-2-22-2-2-2-2-2-20000220000-2-2220000000000002-2000000000000
χ2122222222-2-2-22222-222-2-2-2-222-2-22-2000000000000000000-2200000000000000
χ2222222222-2-2-22222-222-2-2-2-2-2-2222-20000000000000000002-200000000000000
χ2322222222-2-2-22222-2-2-222-2-22222-22000000000000000000-2-200000000000000
χ2422222222-2-2-22222-2-2-222-2-2-2-2-2-2-220000000000000000002200000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2220000-2222-2-20000000000002-20000000000000000
χ2622222222-2-2-2-2-2-2-2-222-2-2220000-22-2-222000000000000-220000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222200002-222-2-2000000000000-220000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222200002-2-2-2220000000000002-20000000000000000
χ2922-222-2-2-222-2-2-222-200002-20000002i−2i2i−2i000000002i2i−2i−2i000000002-200000000
χ3022-222-2-2-222-2-2-222-200002-20000002i−2i2i−2i00000000−2i−2i2i2i00000000-2200000000
χ3122-222-2-2-222-2-2-222-200002-2000000−2i2i−2i2i000000002i2i−2i−2i00000000-2200000000
χ3222-222-2-2-222-2-2-222-200002-2000000−2i2i−2i2i00000000−2i−2i2i2i000000002-200000000
χ3322-222-2-2-2-2-2222-2-2200002-20000002i−2i−2i2i000022-2-200000000002i−2i0000000000
χ3422-222-2-2-2-2-2222-2-2200002-20000002i−2i−2i2i0000-2-2220000000000−2i2i0000000000
χ3522-222-2-2-2-2-2222-2-2200002-2000000−2i2i2i−2i000022-2-20000000000−2i2i0000000000
χ3622-222-2-2-2-2-2222-2-2200002-2000000−2i2i2i−2i0000-2-22200000000002i−2i0000000000
χ372-222-2-2-222-220000-22-22-20000000000002-22-2i2−i2i2−i2i2−i2i2−i20000000000i2−i2i2−i20000
χ382-222-2-2-222-220000-22-22-20000000000002-22-2−i2i2−i2i2−i2i2−i2i20000000000−i2i2−i2i20000
χ392-222-2-2-222-220000-22-22-2000000000000-22-22i2−i2i2−i2i2−i2i2−i20000000000−i2i2−i2i20000
χ402-222-2-2-222-220000-22-22-2000000000000-22-22−i2i2−i2i2−i2i2−i2i20000000000i2−i2i2−i20000
χ412-222-2-2-222-220000-2-22-220000000000002-2-22i2−i2i2−i2−i2i2−i2i20000000000i2−i2−i2i20000
χ422-222-2-2-222-220000-2-22-220000000000002-2-22−i2i2−i2i2i2−i2i2−i20000000000−i2i2i2−i20000
χ432-222-2-2-222-220000-2-22-22000000000000-222-2i2−i2i2−i2−i2i2−i2i20000000000−i2i2i2−i20000
χ442-222-2-2-222-220000-2-22-22000000000000-222-2−i2i2−i2i2i2−i2i2−i20000000000i2−i2−i2i20000
χ4544-444-4-4-444-444-4-4-40000-440000000000000000000000000000000000000000
χ4644-444-4-4-4-4-44-4-44440000-440000000000000000000000000000000000000000
χ474-444-4-4-44-44-4000044-4-44000000000000000000000000000000000000000000
χ484-444-4-4-44-44-400004-444-4000000000000000000000000000000000000000000
χ494-44-444-4-40004-44-400000000000000000000000000000000000000000002i2−2i200
χ504-44-444-4-40004-44-40000000000000000000000000000000000000000000−2i22i200
χ514-44-444-4-4000-44-440000000000000000000000000000000000000000000002i2−2i2
χ524-44-444-4-4000-44-44000000000000000000000000000000000000000000000−2i22i2
χ534-4-44-444-44-4-40000400000000000000000000000022−22−2222000000000000000000
χ544-4-44-444-44-4-400004000000000000000000000000−222222−22000000000000000000
χ554-4-44-444-4-4440000-4000000000000000000002i2−2i2−2i22i20000000000000000000000
χ564-4-44-444-4-4440000-400000000000000000000−2i22i22i2−2i20000000000000000000000
χ574-4-4-44-4440004-4-4400000004-400000000000000000000000000000000000000
χ584-4-4-44-4440004-4-440000000-4400000000000000000000000000000000000000
χ594-4-4-44-444000-444-40000000004-4000000000000000000000000000000000000
χ604-4-4-44-444000-444-4000000000-44000000000000000000000000000000000000
χ61888-8-8-88-8000000000000000000000000000000000000000000000000000000
χ6288-8-8-88-88000000000000000000000000000000000000000000000000000000

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