Finite Group Databasebeta

← Group #488721

Character table — Group #488721

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11112244444444444488888161616161616161616161616161616161616161616163232
order1222442224448888882444822244444888888161616161616161644
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ411111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1
χ5111111111111111111-1-1-1-1111-1-1-111-1-1-111111111-1-1-1-1-1-1
χ6111111111111111111-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111-1-1-1-11-1-1111-1-11-1-11111-1-1-1-11111-1-1
χ8111111111111111111-1-1-1-11-1-1111-1-11-1-1-1-1-1-11111-1-1-1-111
χ91111111-1-1-1-11-1-111111-11-1-11-111-11-1-11-111-1-111-1-111-1-11-1
χ101111111-1-1-1-11-1-111111-11-1-11-111-11-1-11-1-1-111-1-111-1-111-11
χ111111111-1-1-1-11-1-111111-11-1-1-11-1-11-1111-111-1-1-1-111-1-1111-1
χ121111111-1-1-1-11-1-111111-11-1-1-11-1-11-1111-1-1-11111-1-111-1-1-11
χ131111111-1-1-1-11-1-11111-11-11-11-1-1-111-11-1111-1-111-1-1-1-111-11
χ141111111-1-1-1-11-1-11111-11-11-11-1-1-111-11-11-1-111-1-11111-1-11-1
χ151111111-1-1-1-11-1-11111-11-11-1-1111-1-11-1-1111-1-1-1-11111-1-1-11
χ161111111-1-1-1-11-1-11111-11-11-1-1111-1-11-1-11-1-11111-1-1-1-1111-1
χ17222222222222-2-2-2-2-2-22222-200000000-2-200000000000000
χ18222222222222-2-2-2-2-2-2-2-2-2-2-2000000002200000000000000
χ192222222-2-2-2-2222-2-2-2-22-22-2200000000-2200000000000000
χ202222222-2-2-2-2222-2-2-2-2-22-222000000002-200000000000000
χ21222222-22-22-2-22222-2-20000-2002-2-20020000000000000000
χ22222222-22-22-2-22222-2-20000-200-22200-20000000000000000
χ23222222-22-22-2-2-2-2-2-2220000222000-2-200000000000000000
χ24222222-22-22-2-2-2-2-2-22200002-2-20002200000000000000000
χ25222222-2-22-22-222-2-2220000-22-2000-2200000000000000000
χ26222222-2-22-22-222-2-2220000-2-220002-200000000000000000
χ27222222-2-22-22-2-2-222-2-200002002-2200-20000000000000000
χ28222222-2-22-22-2-2-222-2-20000200-22-20020000000000000000
χ292222-2-2-22-2-2220000002-2-220000000000000002−22−22−22−200
χ302222-2-2-22-2-2220000002-2-22000000000000000−22−22−22−2200
χ312222-2-2-22-2-222000000-222-20000000000000002−22−2−22−2200
χ322222-2-2-22-2-222000000-222-2000000000000000−22−222−22−200
χ332222-2-2-2-222-2200000022-2-20000000000000002−2−222−2−2200
χ342222-2-2-2-222-2200000022-2-2000000000000000−222−2−222−200
χ352222-2-2-2-222-22000000-2-2220000000000000002−2−22−222−200
χ362222-2-2-2-222-22000000-2-222000000000000000−222−22−2−2200
χ374444-4-4444-4-4-400000000000000000000000000000000000
χ384444-4-44-4-444-400000000000000000000000000000000000
χ394-44-44-40000004i−4i00000000000000000002-22i−2i0000000000
χ404-44-44-40000004i−4i0000000000000000000-22−2i2i0000000000
χ414-44-44-4000000−4i4i00000000000000000002-2−2i2i0000000000
χ424-44-44-4000000−4i4i0000000000000000000-222i−2i0000000000
χ4388-8-800000000000042−4200000000000000000000000000000
χ4488-8-8000000000000−424200000000000000000000000000000
χ458-88-8-8800000000000000000000000000000000000000000
χ468-8-88000000000042−420000000000000000000000000000000
χ478-8-880000000000−42420000000000000000000000000000000

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