Finite Group Databasebeta

← Group #268317

Character table — Group #268317

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12224424444444222444488882444444488888888888848
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111-11-11-1-1-1-1-1-1-1-1-1-1111111-1-1
χ3111111111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-1-11-11-1-111-1-1-1-111-1-1-1-1-1-111
χ5111111111111111-1-11-1-1111-1-11-1-1-11-1111-11-111111-1-1-1-1-1
χ6111111111111111-1-11-1-1111-1-1-1-11-1-11-1-1-11-11-1-1111-1-1-111
χ7111111111111111-1-11-1-11-1-1111-1-1-11-1-1-11-11-1-1-1-1-1-111111
χ8111111111111111-1-11-1-11-1-111-1-11-1-1111-11-1111-1-1-1111-1-1
χ911111111-1-11111-111-111-111111-11-111-1-1-1-1-1-1111-1-11-1-11-1
χ1011111111-1-11111-111-111-11111-1-1-1-1-1-1111111-1-11-1-11-1-1-11
χ1111111111-1-11111-111-111-1-1-1-1-11-11-11111-1-1-1-1-1-1-111-111-11
χ1211111111-1-11111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1111-1
χ1311111111-1-11111-1-1-1-1-1-1-111-1-111-111-1-1-1-11-11111-1-1-111-11
χ1411111111-1-11111-1-1-1-1-1-1-111-1-1-1111-11111-11-1-1-11-1-1-1111-1
χ1511111111-1-11111-1-1-1-1-1-1-1-1-11111-111-111-11-11-1-1-1111-1-11-1
χ1611111111-1-11111-1-1-1-1-1-1-1-1-111-1111-11-1-11-11-111-1111-1-1-11
χ172222222-222-22-2-2-22-2-22-220000020-2000000000000000000
χ182222222-222-22-2-2-2-22-2-22200000-202000000000000000000
χ192222222-2-2-2-22-2-222-222-2-200000-202000000000000000000
χ202222222-2-2-2-22-2-22-222-22-20000020-2000000000000000000
χ21222222-2222-2-2-22-200200-200002000-200020-200000000000
χ22222222-2222-2-2-22-200200-20000-20002000-20200000000000
χ23222222-22-2-2-2-2-22200-200200002000-2000-20200000000000
χ24222222-22-2-2-2-2-22200-20020000-2000200020-200000000000
χ25222222-2-2222-22-2200-200-2000000200-200020-20000000000
χ26222222-2-2222-22-2200-200-2000000-2002000-2020000000000
χ27222222-2-2-2-22-22-2-2002002000000200-2000-2020000000000
χ28222222-2-2-2-22-22-2-2002002000000-200200020-20000000000
χ292222-2-2-220022-2-20220-2-2000000000000000000002i−2i02i−2i00
χ302222-2-2-220022-2-20220-2-200000000000000000000−2i2i0−2i2i00
χ312222-2-2-220022-2-20-2-2022000000000000000000002i−2i0−2i2i00
χ322222-2-2-220022-2-20-2-202200000000000000000000−2i2i02i−2i00
χ332222-2-2-2-200-222202-20-220222200000000000000-200-20000
χ342222-2-2-2-200-222202-20-220-2-2-2-20000000000000020020000
χ352222-2-2-2-200-22220-2202-2022-2-200000000000000-20020000
χ362222-2-2-2-200-22220-2202-20-2-22200000000000000200-20000
χ374444-4-44400-4-44-4000000000000000000000000000000000
χ384444-4-44-4004-4-44000000000000000000000000000000000
χ394-44-4-44004i−4i0000000000000000000002-200002i−2i00000000
χ404-44-4-44004i−4i000000000000000000000-220000−2i2i00000000
χ414-44-4-4400−4i4i0000000000000000000002-20000−2i2i00000000
χ424-44-4-4400−4i4i000000000000000000000-2200002i−2i00000000
χ4388-8-8000000000000000004-4000000000000000000000000
χ4488-8-800000000000000000-44000000000000000000000000
χ458-88-88-800000000000000000000000000000000000000000
χ468-8-8800000000000000000004-40000000000000000000000
χ478-8-880000000000000000000-440000000000000000000000

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