Finite Group Databasebeta

← Group #267921

Character table — Group #267921

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222244444444888888888816161616161616161616161616161616161616163232
order12222244442244444422444444444444888888888888888844
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ5111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1
χ6111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ8111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ91111111111-1-1-1-1111111-1-1-1-111-1-11-11-111-1-111-1-111-1-111-1-11-1
χ101111111111-1-1-1-1111111-1-1-1-111-1-11-11-1-1-11111-1-1-1-111-1-111-11
χ111111111111-1-1-1-1111111-1-1-1-111-1-1-11-1111-1-1-1-111-1-111-1-1111-1
χ121111111111-1-1-1-1111111-1-1-1-111-1-1-11-11-1-111-1-11111-1-111-1-1-11
χ131111111111-1-1-1-11111-1-111-1-1-1-1111-11-111-1-1-1-11111-1-1-1-111-11
χ141111111111-1-1-1-11111-1-111-1-1-1-1111-11-1-1-111-1-111-1-11111-1-11-1
χ151111111111-1-1-1-11111-1-111-1-1-1-111-11-1111-1-111-1-1-1-11111-1-1-11
χ161111111111-1-1-1-11111-1-111-1-1-1-111-11-11-1-11111-1-111-1-1-1-1111-1
χ1722222222222222-2-2-2-22222-2-2-2-2-2-20000000000000000000000
χ1822222222222222-2-2-2-2-2-2-2-2-2-222220000000000000000000000
χ192222222222-2-2-2-2-2-2-2-222-2-222-2-2220000000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-2222222-2-20000000000000000000000
χ21222222-2-2-2-222-2-222-2-20000-2200000000000000002i−2i2i−2i000000
χ22222222-2-2-2-222-2-222-2-20000-220000000000000000−2i2i−2i2i000000
χ23222222-2-2-2-222-2-2-2-22200002-2000000000000000000002-22-200
χ24222222-2-2-2-222-2-2-2-22200002-200000000000000000000-22-2200
χ25222222-2-2-2-2-2-22222-2-200002-200000000000000002i−2i−2i2i000000
χ26222222-2-2-2-2-2-22222-2-200002-20000000000000000−2i2i2i−2i000000
χ27222222-2-2-2-2-2-222-2-2220000-22000000000000000000002-2-2200
χ28222222-2-2-2-2-2-222-2-2220000-2200000000000000000000-222-200
χ292222-2-2-22-2200002-22-22-200002-200020-20000002-20000000000
χ302222-2-2-22-2200002-22-22-200002-2000-202000000-220000000000
χ312222-2-2-22-2200002-22-2-220000-2200020-2000000-220000000000
χ322222-2-2-22-2200002-22-2-220000-22000-2020000002-20000000000
χ332222-2-2-22-220000-22-222-20000-220020-2000002-2000000000000
χ342222-2-2-22-220000-22-222-20000-2200-20200000-22000000000000
χ352222-2-2-22-220000-22-22-2200002-20020-200000-22000000000000
χ362222-2-2-22-220000-22-22-2200002-200-202000002-2000000000000
χ374444-4-44-44-400004-4-4400000000000000000000000000000000
χ384444-4-44-44-40000-444-400000000000000000000000000000000
χ3944-4-44-44-4-444-44-4000000000000000000000000000000000000
χ4044-4-44-44-4-44-44-44000000000000000000000000000000000000
χ4144-4-44-4-444-44-4-44000000000000000000000000000000000000
χ4244-4-44-4-444-4-444-4000000000000000000000000000000000000
χ4344-4-4-4444-4-400000000004-40000000000000000000000000000
χ4444-4-4-4444-4-40000000000-440000000000000000000000000000
χ4544-4-4-44-4-44400000000000000004i−4i0000000000000000000000
χ4644-4-4-44-4-4440000000000000000−4i4i0000000000000000000000
χ478-88-800000000000000000000000000000022−2200000000000000
χ488-88-8000000000000000000000000000000−222200000000000000
χ498-8-88000000000000000000000000000022−220000000000000000
χ508-8-880000000000000000000000000000−22220000000000000000

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