Finite Group Databasebeta

← Group #434693

Character table — Group #434693

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111122222222222222888888888888888888888888888816161616161616161616161616161616
order12222222224444444422224444444488888888888888884444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ31111111111111111111111-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1
χ41111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-111
χ511111111111111111111-1-11111-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111
χ611111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1
χ711111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-111-1-1-1-1
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1111111
χ9111111111111111111-1-11111-1-111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-1
χ10111111111111111111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111
χ11111111111111111111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ12111111111111111111-1-111-1-1-1-111-1-1-1-1-1-111111111111111-1-111-1-1-1-111-1-1-1-1
χ13111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ14111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-111-1-1
χ172222222222-2-2-2-2-2-2-2-20000220000-2-22i2i−2i−2i00002i2i−2i−2i00000000000000000000
χ182222222222-2-2-2-2-2-2-2-20000220000-2-2−2i−2i2i2i0000−2i−2i2i2i00000000000000000000
χ192222222222-2-2-2-2-2-2-2-20000-2-20000222i2i−2i−2i0000−2i−2i2i2i00000000000000000000
χ202222222222-2-2-2-2-2-2-2-20000-2-2000022−2i−2i2i2i00002i2i−2i−2i00000000000000000000
χ2122222-2-2-22-22-2-22-222-200220000-2-200000022-2-2000000002-200000000000000
χ2222222-2-2-22-22-2-22-222-200220000-2-2000000-2-22200000000-2200000000000000
χ2322222-2-2-22-22-2-22-222-200-2-200002200000022-2-200000000-2200000000000000
χ2422222-2-2-22-22-2-22-222-200-2-2000022000000-2-222000000002-200000000000000
χ252222-22-2-2-22-22-22-22-22220000-2-2000000000000000022-2-2002-2000000000000
χ262222-22-2-2-22-22-22-22-22220000-2-20000000000000000-2-22200-22000000000000
χ272222-22-2-2-22-22-22-22-22-2-2000022000000000000000022-2-200-22000000000000
χ282222-22-2-2-22-22-22-22-22-2-20000220000000000000000-2-222002-2000000000000
χ292-22-2222-2-2-22222-2-2-2-22-22-2002-22-2000000000000000000000000002-2000000
χ302-22-2222-2-2-22222-2-2-2-22-2-22002-2-2200000000000000000000000000-22000000
χ312-22-2222-2-2-22222-2-2-2-2-222-200-222-200000000000000000000000000-22000000
χ322-22-2222-2-2-22222-2-2-2-2-22-2200-22-22000000000000000000000000002-2000000
χ332-22-22-2-22-222-2-222-2-22002-20000-22002i−2i2i−2i0000000000000000000000002i−2i00
χ342-22-22-2-22-222-2-222-2-22002-20000-2200−2i2i−2i2i000000000000000000000000−2i2i00
χ352-22-22-2-22-222-2-222-2-2200-2200002-2002i−2i2i−2i000000000000000000000000−2i2i00
χ362-22-22-2-22-222-2-222-2-2200-2200002-200−2i2i−2i2i0000000000000000000000002i−2i00
χ372-22-22-2-22-22-222-2-222-20000000000002-2-22000000002i−2i2i−2i0000002i−2i00000000
χ382-22-22-2-22-22-222-2-222-20000000000002-2-2200000000−2i2i−2i2i000000−2i2i00000000
χ392-22-22-2-22-22-222-2-222-2000000000000-222-2000000002i−2i2i−2i000000−2i2i00000000
χ402-22-22-2-22-22-222-2-222-2000000000000-222-200000000−2i2i−2i2i0000002i−2i00000000
χ412-22-2-22-222-22-22-2-22-2200000000000000002i−2i2i−2i2-22-2000000002i−2i0000000000
χ422-22-2-22-222-22-22-2-22-2200000000000000002i−2i2i−2i-22-2200000000−2i2i0000000000
χ432-22-2-22-222-22-22-2-22-220000000000000000−2i2i−2i2i2-22-200000000−2i2i0000000000
χ442-22-2-22-222-22-22-2-22-220000000000000000−2i2i−2i2i-22-22000000002i−2i0000000000
χ452-22-2-22-222-2-22-222-22-22-20000-220000000000002i−2i−2i2i0000000000000000002i−2i
χ462-22-2-22-222-2-22-222-22-22-20000-22000000000000−2i2i2i−2i000000000000000000−2i2i
χ472-22-2-22-222-2-22-222-22-2-2200002-20000000000002i−2i−2i2i000000000000000000−2i2i
χ482-22-2-22-222-2-22-222-22-2-2200002-2000000000000−2i2i2i−2i0000000000000000002i−2i
χ492-22-2-2-22-22222-2-222-2-200000000000000002i−2i−2i2i00002i−2i−2i2i00000000002-20000
χ502-22-2-2-22-22222-2-222-2-200000000000000002i−2i−2i2i0000−2i2i2i−2i0000000000-220000
χ512-22-2-2-22-22222-2-222-2-20000000000000000−2i2i2i−2i00002i−2i−2i2i0000000000-220000
χ522-22-2-2-22-22222-2-222-2-20000000000000000−2i2i2i−2i0000−2i2i2i−2i00000000002-20000
χ5344444-4-4-44-4-444-44-4-4400000000000000000000000000000000000000000000
χ544444-44-4-4-444-44-44-44-400000000000000000000000000000000000000000000
χ554444-4-444-4-444-4-4-4-44400000000000000000000000000000000000000000000
χ564444-4-444-4-4-4-44444-4-400000000000000000000000000000000000000000000
χ574-44-4444-4-4-4-4-4-4-4444400000000000000000000000000000000000000000000
χ584-44-4-4-44-444-4-444-4-44400000000000000000000000000000000000000000000
χ5988-8-80000000000000000004-400000000000000000000000000000000000000
χ6088-8-8000000000000000000-4400000000000000000000000000000000000000
χ618-8-880000000000000000000000004-400000000000000000000000000000000
χ628-8-88000000000000000000000000-4400000000000000000000000000000000

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