Finite Group Databasebeta

← Group #249813

Character table — Group #249813

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111224444444444888888888888881616161616161616161616161616161616163232
order12224422244444444444448888888822222444448888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ5111111111111111111-1-1-1-111111111-1-1-11-1-1-1-11-111-1-111-1-11-1
χ6111111111111111111-1-1-1-111111111-1-1-1-11-1-1-1-11-1-111-1-111-11
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-11-111-1-1-1-111-11
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1-11-1-11111-1-11-1
χ91111111-1-1-1-111111-1-111111111-1-1-1-111-111-1-1-111-1-1-1-11111-1-1
χ101111111-1-1-1-111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ111111111-1-1-1-111111-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-111
χ121111111-1-1-1-111111-1-11111-1-1-1-11111-1-11-1-11-1-1-1-111111111-1-1
χ131111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-111-11111-1-1-11111-1-1-11
χ141111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-11-11111-1111-1-1-1-1111-1
χ151111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-11-1-1111-1-1-111-1-1111-1
χ161111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-11-111-1111-1-111-1-1-11
χ1722222222222-2-2-2-22-2-222-2-2000000000000002-2000000000000
χ1822222222222-2-2-2-22-2-2-2-22200000000000000-22000000000000
χ192222222-2-2-2-2-2-2-2-222222-2-200000000000000-22000000000000
χ202222222-2-2-2-2-2-2-2-2222-2-222000000000000002-2000000000000
χ21222222-222-2-222-2-2-22-2000000000000000020000-2002-2000000
χ22222222-222-2-222-2-2-22-20000000000000000-20000200-22000000
χ23222222-222-2-2-2-222-2-2200000000000000020000-202-200000000
χ24222222-222-2-2-2-222-2-22000000000000000-2000020-2200000000
χ25222222-2-2-22222-2-2-2-22000000000000000020000-200-22000000
χ26222222-2-2-22222-2-2-2-220000000000000000-200002002-2000000
χ27222222-2-2-222-2-222-22-200000000000000020000-20-2200000000
χ28222222-2-2-222-2-222-22-2000000000000000-20000202-200000000
χ292222-2-2-200002-22-22002-22-2000022-2-200200-200000000000000
χ302222-2-2-200002-22-22002-22-20000-2-22200-200200000000000000
χ312222-2-2-200002-22-2200-22-22000022-2-200-200200000000000000
χ322222-2-2-200002-22-2200-22-220000-2-22200200-200000000000000
χ332222-2-2-20000-22-222002-2-2222-2-200002-2000000000000000000
χ342222-2-2-20000-22-222002-2-22-2-2220000-22000000000000000000
χ352222-2-2-20000-22-22200-222-222-2-20000-22000000000000000000
χ362222-2-2-20000-22-22200-222-2-2-22200002-2000000000000000000
χ374444-4-4400004-4-44-40000000000000000000000000000000000
χ384444-4-440000-444-4-40000000000000000000000000000000000
χ3944-4-44-40004-4000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ4044-4-44-40004-400000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ4144-4-44-4000-44000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ4244-4-44-4000-4400000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ4344-4-4-4404-400000000000002i−2i−2i2i2i−2i−2i2i00000000000000000000
χ4444-4-4-4404-40000000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ4544-4-4-440-4400000000000002i−2i−2i2i−2i2i2i−2i00000000000000000000
χ4644-4-4-440-440000000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000
χ478-88-8000000000000000000000000000000000000000022−220000
χ488-88-80000000000000000000000000000000000000000−22220000
χ498-8-8800000000000000000000000000000000000000000022−2200
χ508-8-88000000000000000000000000000000000000000000−222200

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