Finite Group Databasebeta

← Group #346992

Character table — Group #346992

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111222222444444444444444488888888888888888888881616161616161616161616163232
order12222244442222444444444444222222244444444444444488888888888844
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111
χ411111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111-1-1-1-1-1-1-1-11111-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11-1
χ611111111111111-1-1-1-1-1-1-1-11111-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-11
χ711111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111111111-1-1-1-1-111-1-1-1-1-1-111111-1
χ811111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1111111-1-1-1-1-11
χ91111111111-1-1-1-11111-1-1-1-1111111-111-1-1-1-11111-1-1-1-1-111-1-111-1-111-1-111-1-1-11
χ101111111111-1-1-1-11111-1-1-1-1111111-111-1-1-1-11111-1-1-1-1-111-1-1-1-111-1-111-1-1111-1
χ111111111111-1-1-1-11111-1-1-1-1111111-1-1-111-1-1-1-1-1-11111-1-1-11111-1-1-1-111-1-111-11
χ121111111111-1-1-1-11111-1-1-1-1111111-1-1-111-1-1-1-1-1-11111-1-1-111-1-11111-1-111-1-11-1
χ131111111111-1-1-1-1-1-1-1-111111111-1-1111-1-1-1-1-1-1-1-11111111-1-1111111-1-1-1-111-1-1
χ141111111111-1-1-1-1-1-1-1-111111111-1-1111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-111
χ151111111111-1-1-1-1-1-1-1-111111111-1-11-1-111-1-11111-1-1-1-11-1-1111111-1-11111-1-1-1-1
χ161111111111-1-1-1-1-1-1-1-111111111-1-11-1-111-1-11111-1-1-1-11-1-111-1-1-1-111-1-1-1-11111
χ172222222222222222222222-2-2-2-2-2-2-20000-2-200000000-2000000000000000000
χ1822222222222222-2-2-2-2-2-2-2-2-2-2-2-22220000-2-2000000002000000000000000000
χ192222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-22000022000000002000000000000000000
χ202222222222-2-2-2-2-2-2-2-22222-2-2-2-222-200002200000000-2000000000000000000
χ21222222-2-2-2-20000000022-2-222-2-2002002-20022-2-20000-2002-200000000000000
χ22222222-2-2-2-20000000022-2-222-2-200200-2200-2-2220000-200-2200000000000000
χ23222222-2-2-2-20000000022-2-2-2-22200-22-20000000022-2-222-20000000000000000
χ24222222-2-2-2-20000000022-2-2-2-22200-2-2200000000-2-2222-220000000000000000
χ25222222-2-2-2-200000000-2-22222-2-200-2002-200-2-22200002002-200000000000000
χ26222222-2-2-2-200000000-2-22222-2-200-200-220022-2-20000200-2200000000000000
χ27222222-2-2-2-200000000-2-222-2-2220022-200000000-2-222-22-20000000000000000
χ28222222-2-2-2-200000000-2-222-2-222002-220000000022-2-2-2-220000000000000000
χ292222-2-22-22-2000022-2-200002-22-22-2000220000002-22-2000-2-200000000000000
χ302222-2-22-22-2000022-2-200002-22-22-2000-2-2000000-22-220002200000000000000
χ312222-2-22-22-2000022-2-20000-22-22-2202-200002-22-200000-220000000000000000
χ322222-2-22-22-2000022-2-20000-22-22-220-220000-22-22000002-20000000000000000
χ332222-2-22-22-20000-2-22200002-22-2-2200022000000-22-22000-2-200000000000000
χ342222-2-22-22-20000-2-22200002-22-2-22000-2-20000002-22-20002200000000000000
χ352222-2-22-22-20000-2-2220000-22-222-202-20000-22-2200000-220000000000000000
χ362222-2-22-22-20000-2-2220000-22-222-20-2200002-22-2000002-20000000000000000
χ372222-2-2-22-2222-2-2000000002-2-22000222-22-2000000000-2-2-2200000000000000
χ382222-2-2-22-2222-2-2000000002-2-22000-2-2-222-2000000000222-200000000000000
χ392222-2-2-22-2222-2-200000000-222-20000000-222-2-222-2-220000000000000000000
χ402222-2-2-22-2222-2-200000000-222-20000000-22-222-2-222-20000000000000000000
χ412222-2-2-22-22-2-222000000002-2-2200022-22-22000000000-2-22-200000000000000
χ422222-2-2-22-22-2-222000000002-2-22000-2-22-2-2200000000022-2200000000000000
χ432222-2-2-22-22-2-22200000000-222-200000002-22-2-22-222-20000000000000000000
χ442222-2-2-22-22-2-22200000000-222-200000002-2-222-22-2-220000000000000000000
χ452-2-222-22-2-222-22-22i−2i2i−2i2i−2i2i−2i0000000000000000000000000000002−22−2i2−i2i2−i200
χ462-2-222-22-2-222-22-22i−2i2i−2i2i−2i2i−2i000000000000000000000000000000−22−22−i2i2−i2i200
χ472-2-222-22-2-222-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000002−22−2−i2i2−i2i200
χ482-2-222-22-2-222-22-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000−22−22i2−i2i2−i200
χ492-2-222-22-2-22-22-222i−2i2i−2i−2i2i−2i2i0000000000000000000000000000002−2−22i2−i2−i2i200
χ502-2-222-22-2-22-22-222i−2i2i−2i−2i2i−2i2i000000000000000000000000000000−222−2−i2i2i2−i200
χ512-2-222-22-2-22-22-22−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000002−2−22−i2i2i2−i200
χ522-2-222-22-2-22-22-22−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000−222−2i2−i2−i2i200
χ534-4-444-4-444-4000000004i−4i−4i4i0000000000000000000000000000000000000000
χ544-4-444-4-444-400000000−4i4i4i−4i0000000000000000000000000000000000000000
χ554-4-44-4444-4-400004i−4i−4i4i00000000000000000000000000000000000000000000
χ564-4-44-4444-4-40000−4i4i4i−4i00000000000000000000000000000000000000000000
χ574-4-44-44-4-4444-4-44000000000000000000000000000000000000000000000000
χ584-4-44-44-4-444-444-4000000000000000000000000000000000000000000000000
χ5988-8-800000000000000000000000000000000000000000000002i2−2i20000000000
χ6088-8-80000000000000000000000000000000000000000000000−2i22i20000000000
χ618-88-8000000000000000000000000000000000000000000002i2−2i2000000000000
χ628-88-800000000000000000000000000000000000000000000−2i22i2000000000000

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