Finite Group Databasebeta

← Group #250412

Character table — Group #250412

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11112244444444888888888161616161616161616161616161616161616161616161632
order12224424444444224444488244444444444888888888888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111-1111-1111-1-1-1-1-1-1-1-1-1-1-1-1111-1
χ3111111111111111111111-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111-1-1-11-1-1-11-1-1-1-111-1-1-1-11111-1-1-11
χ5111111111111111-11-1-11-1111-1-1-1-1-1-1-11-1-1-1-111-111-1-11111
χ6111111111111111-11-1-11-111-1-1-1-11-1-1-1-11111-1-11-1-111111-1
χ7111111111111111-11-1-11-1-1-11-111-1-1111-111-111-1-1-111-1-1-1-1
χ8111111111111111-11-1-11-1-1-1-1-1111-111-11-1-11-1-1111-1-1-1-1-11
χ911111111-1-11111-11-111-11111-1111-1-1-111-1-1-1-1-1-1-1-1111-1-11
χ1011111111-1-11111-11-111-1111-1-111-1-1-1-1-1-111111111-1-11-1-1-1
χ1111111111-1-11111-11-111-11-1-11-1-1-11-1111111-1-1-1-111-1-1-111-1
χ1211111111-1-11111-11-111-11-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1111
χ1311111111-1-11111-1-1-1-1-1-1-11111-1-1-11111-1111-1-11-1-1-1-11-1-11
χ1411111111-1-11111-1-1-1-1-1-1-111-11-1-11111-11-1-1-111-111111-1-1-1
χ1511111111-1-11111-1-1-1-1-1-1-1-1-11111-11-1-11-1-1-11-1-111111-111-1
χ1611111111-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-1111-111-1-1-1-1-1-1111
χ172222222-222-2-22-2-20200-200020000000-200002-2000000000
χ182222222-222-2-22-2-20200-2000-2000000020000-22000000000
χ192222222-2-2-2-2-22-220-200200020000000-20000-22000000000
χ202222222-2-2-2-2-22-220-2002000-20000000200002-2000000000
χ21222222-2222-2-2-22-22-2-2-2220002000-2000000000000000000
χ22222222-2222-2-2-22-2-2-2222-2000-20002000000000000000000
χ23222222-22-2-2-2-2-22222-2-2-22000-20002000000000000000000
χ24222222-22-2-2-2-2-222-2222-2-20002000-2000000000000000000
χ25222222-2-22222-2-220-200-2000000020000-200200-200000000
χ26222222-2-22222-2-220-200-20000000-20000200-200200000000
χ27222222-2-2-2-222-2-2-202002000000020000-200-200200000000
χ28222222-2-2-2-222-2-2-2020020000000-20000200200-200000000
χ292222-2-22-2002-2-220202-20-2000000002-200000000000002-20
χ302222-2-22-2002-2-220202-20-200000000-220000000000000-220
χ312222-2-22-2002-2-220-20-2202000000002-20000000000000-220
χ322222-2-22-2002-2-220-20-220200000000-2200000000000002-20
χ332222-2-2-2-200-2222020-220-222002-20000000000000000-2000
χ342222-2-2-2-200-2222020-220-2-2-200-2200000000000000002000
χ352222-2-2-2-200-22220-202-2022200-220000000000000000-2000
χ362222-2-2-2-200-22220-202-202-2-2002-200000000000000002000
χ374444-4-44400-44-4-4000000000000000000000000000000000
χ384444-4-4-44004-44-4000000000000000000000000000000000
χ394-4-444-4004i−4i000000000000000000000002-20000002i−2i0000
χ404-4-444-4004i−4i00000000000000000000000-22000000−2i2i0000
χ414-4-444-400−4i4i000000000000000000000002-2000000−2i2i0000
χ424-4-444-400−4i4i00000000000000000000000-220000002i−2i0000
χ4388-8-80000000000000000000000000000000000022−22000000
χ4488-8-800000000000000000000000000000000000−2222000000
χ458-88-8000000000000000004-4000000000000000000000000
χ468-88-800000000000000000-44000000000000000000000000
χ478-8-88-8800000000000000000000000000000000000000000

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