Finite Group Databasebeta

← Group #268334

Character table — Group #268334

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12224424444444244444488882244444488888888888848
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ3111111111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-111
χ511111111111111111-1-1-1-111-1-11-1-1-11-1111-11-111111-1-1-1-1-1
χ611111111111111111-1-1-1-111-1-1-11-1-1-11-1-1-11-11-1-1111-1-1-111
χ711111111111111111-1-1-1-1-1-1111-1-1-11-1-1-11-11-1-1-1-1-1-111111
χ811111111111111111-1-1-1-1-1-111-11-1-1-1111-11-1111-1-1-1111-1-1
χ91111111-1-111111-1-1-11111111111-1-111-1-1-1-1-1-1111-1-11-1-11-1
χ101111111-1-111111-1-1-111111111-1-1-1-1-1-1111111-1-11-1-11-1-1-11
χ111111111-1-111111-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-111-111-11
χ121111111-1-111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1111-1
χ131111111-1-111111-1-1-1-1-1-1-111-1-11-1111-1-1-1-11-11111-1-1-111-11
χ141111111-1-111111-1-1-1-1-1-1-111-1-1-1111-11111-11-1-1-11-1-1-1111-1
χ151111111-1-111111-1-1-1-1-1-1-1-1-1111-1111-111-11-11-1-1-1111-1-11-1
χ161111111-1-111111-1-1-1-1-1-1-1-1-111-1111-11-1-11-11-111-1111-1-1-11
χ17222222222-2-22-2-22-2-222-2-20000002-2000000000000000000
χ18222222222-2-22-2-22-2-2-2-222000000-22000000000000000000
χ192222222-2-2-2-22-2-2-22222-2-2000000-22000000000000000000
χ202222222-2-2-2-22-2-2-222-2-2220000002-2000000000000000000
χ21222222-2222-2-22-2-22-20000000002000-2000-2020000000000
χ22222222-2222-2-22-2-22-2000000000-2000200020-20000000000
χ23222222-222-22-2-22-2-22000000002000-2000-20200000000000
χ24222222-222-22-2-22-2-2200000000-2000200020-200000000000
χ25222222-2-2-22-2-22-22-220000000002000-200020-20000000000
χ26222222-2-2-22-2-22-22-22000000000-20002000-2020000000000
χ27222222-2-2-2-22-2-2222-2000000002000-200020-200000000000
χ28222222-2-2-2-22-2-2222-200000000-20002000-20200000000000
χ292222-2-2-200222-2-20002-22-200000000000000000002i−2i02i−2i00
χ302222-2-2-200222-2-20002-22-20000000000000000000−2i2i0−2i2i00
χ312222-2-2-200222-2-2000-22-2200000000000000000002i−2i0−2i2i00
χ322222-2-2-200222-2-2000-22-220000000000000000000−2i2i02i−2i00
χ332222-2-2-200-2-22220002-2-22222200000000000000-200-20000
χ342222-2-2-200-2-22220002-2-22-2-2-2-20000000000000020020000
χ352222-2-2-200-2-2222000-222-222-2-200000000000000-20020000
χ362222-2-2-200-2-2222000-222-2-2-22200000000000000200-20000
χ374444-4-44004-4-4-44000000000000000000000000000000000
χ384444-4-4400-44-44-4000000000000000000000000000000000
χ3944-4-4-4404-400000000000000000000002i−2i00002i−2i00000000
χ4044-4-4-4404-40000000000000000000000−2i2i0000−2i2i00000000
χ4144-4-4-440-4400000000000000000000002i−2i0000−2i2i00000000
χ4244-4-4-440-440000000000000000000000−2i2i00002i−2i00000000
χ4388-8-88-800000000000000000000000000000000000000000
χ448-88-800000000000000000004i−4i0000000000000000000000
χ458-88-80000000000000000000−4i4i0000000000000000000000
χ468-8-88000000000000000004i−4i000000000000000000000000
χ478-8-8800000000000000000−4i4i000000000000000000000000

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