Finite Group Databasebeta

← Group #249809

Character table — Group #249809

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111224444444444888888888888881616161616161616161616161616161616163232
order12224424444444442224448888888822244444448888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-111-1111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-1-1111-111-1-111111-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1111111
χ511111111111111111-1-11-1-111111111-11-1-1-11-1-1-1-111-1-111-1-11-1
χ611111111111111111-1-11-1-111111111-1-11-1-1-1-1-1-11-1-111-1-111-11
χ711111111111111111-1-11-1-1-1-1-1-1-1-1-1-111-1-111-111-111-1-1-1-111-11
χ811111111111111111-1-11-1-1-1-1-1-1-1-1-1-11-11-11-1-1111-1-11111-1-11-1
χ91111111-1-1-1-111111-111-1111111-1-1-1-1111-111-1-1-11-1-1-1-1-1-1-1-111
χ101111111-1-1-1-111111-111-1111111-1-1-1-11-1-1-11-1-1-1-1-111111111-1-1
χ111111111-1-1-1-111111-111-111-1-1-1-11111-111-1-11-1111-1-1-1-11111-1-1
χ121111111-1-1-1-111111-111-111-1-1-1-11111-1-1-1-1-1-1-111-11111-1-1-1-111
χ131111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-11-11-11111-1-1-111-1-1111-1
χ141111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-111-1-1-11
χ151111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-11111-1-1-1-1-11111-1-1-11
χ161111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111-1111-11-1-1111-1-1-1-1111-1
χ1722222222222-2-2-2-22-22-2-22-200000000000200-20000000000000
χ1822222222222-2-2-2-22-2-22-2-2200000000000-20020000000000000
χ192222222-2-2-2-2-2-2-2-2222-222-200000000000-20020000000000000
χ202222222-2-2-2-2-2-2-2-222-222-2200000000000200-20000000000000
χ21222222-222-2-22-22-2-2200-2000000000002000-200002-200000000
χ22222222-222-2-22-22-2-2200-200000000000-200020000-2200000000
χ23222222-222-2-2-22-22-2-20020000000000002000000-2002-2000000
χ24222222-222-2-2-22-22-2-2002000000000000-2000000200-22000000
χ25222222-2-2-2222-22-2-2-2002000000000002000-20000-2200000000
χ26222222-2-2-2222-22-2-2-200200000000000-2000200002-200000000
χ27222222-2-2-222-22-22-2200-20000000000002000000-200-22000000
χ28222222-2-2-222-22-22-2200-2000000000000-20000002002-2000000
χ292222-2-2-200002-2-22202-20-2222-2-200002000-2000000000000000
χ302222-2-2-200002-2-22202-20-22-2-2220000-20002000000000000000
χ312222-2-2-200002-2-2220-2202-222-2-20000-20002000000000000000
χ322222-2-2-200002-2-2220-2202-2-2-22200002000-2000000000000000
χ332222-2-2-20000-222-220220-2-2000022-2-200000002-200000000000
χ342222-2-2-20000-222-220220-2-20000-2-2220000000-2200000000000
χ352222-2-2-20000-222-220-2-2022000022-2-20000000-2200000000000
χ362222-2-2-20000-222-220-2-20220000-2-22200000002-200000000000
χ374444-4-44000044-4-4-40000000000000000000000000000000000
χ384444-4-440000-4-444-40000000000000000000000000000000000
χ3944-4-44-40004i−4i000000000002-22-22i−2i2i−2i00000000000000000000
χ4044-4-44-40004i−4i00000000000-22-22−2i2i−2i2i00000000000000000000
χ4144-4-44-4000−4i4i000000000002-22-2−2i2i−2i2i00000000000000000000
χ4244-4-44-4000−4i4i00000000000-22-222i−2i2i−2i00000000000000000000
χ4344-4-4-4404i−4i00000000000002-2-222i−2i−2i2i00000000000000000000
χ4444-4-4-4404i−4i0000000000000-222-2−2i2i2i−2i00000000000000000000
χ4544-4-4-440−4i4i00000000000002-2-22−2i2i2i−2i00000000000000000000
χ4644-4-4-440−4i4i0000000000000-222-22i−2i−2i2i00000000000000000000
χ478-88-80000000000000000000000000000000000000000002i2−2i200
χ488-88-8000000000000000000000000000000000000000000−2i22i200
χ498-8-88000000000000000000000000000000000000000022−220000
χ508-8-880000000000000000000000000000000000000000−22220000

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