Finite Group Databasebeta

← Group #317334

Character table — Group #317334

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size111122224444444888888816161616161616161616161616161616161632323232
order12224444244448888888884444444488888888888888
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-111-1-11111-1-1-1-111-1-1-1-1
χ31111111111111111111111-1-111-1-111-1-1-1-1111111-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-1-1-1111-1111-1-1-1-1-111-1-1-1-111-1-1
χ6111111111111111111-1-1-1-111-1111-11-1-1-1-1-1-111-1-1-1-111
χ7111111111111111111-1-1-1-1-1-11-1-1-11-1111111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-11-1-1-111111-1-111-1-111-1-1
χ91111111111111-1-1-1-1-111111-11-11-11-111-1-1-1-111-1-11-11-1
χ101111111111111-1-1-1-1-111111-1-111-1-1111-1-111-1-1-1-1-11-11
χ111111111111111-1-1-1-1-11111-111-1-111-1-1-111-1-111-1-1-11-11
χ121111111111111-1-1-1-1-11111-11-11-11-11-1-11111-1-1-1-11-11-1
χ131111111111111-1-1-1-1-1-1-1-1-11-1111-111-1-111-1-1-1-1111-1-11
χ141111111111111-1-1-1-1-1-1-1-1-11-1-1-11-1-1-1-1-111111111-111-1
χ151111111111111-1-1-1-1-1-1-1-1-1-1111-111111-1-1-1-1-1-111-111-1
χ161111111111111-1-1-1-1-1-1-1-1-1-11-1-1-11-1-111-1-11111111-1-11
χ1722222222-2-22-2-2222-2-222-2-200000000000000002-20000
χ1822222222-2-22-2-2222-2-2-2-2220000000000000000-220000
χ1922222222-2-22-2-2-2-2-22222-2-20000000000000000-220000
χ2022222222-2-22-2-2-2-2-222-2-22200000000000000002-20000
χ21222222-2-222-2-2-222-22-20000000000002i−2i2i−2i0000000000
χ22222222-2-222-2-2-222-22-2000000000000−2i2i−2i2i0000000000
χ23222222-2-222-2-2-2-2-22-220000000000002i−2i−2i2i0000000000
χ24222222-2-222-2-2-2-2-22-22000000000000−2i2i2i−2i0000000000
χ25222222-2-2-2-2-22222-2-2200002-200-220000000000000000
χ26222222-2-2-2-2-22222-2-220000-22002-20000000000000000
χ27222222-2-2-2-2-222-2-222-200002200-2-20000000000000000
χ28222222-2-2-2-2-222-2-222-20000-2-200220000000000000000
χ292222-2-2-2-22-22-22000002i−2i2i−2i0002000-200002i−2i00000000
χ302222-2-2-2-22-22-22000002i−2i2i−2i000-200020000−2i2i00000000
χ312222-2-2-2-22-22-2200000−2i2i−2i2i0002000-20000−2i2i00000000
χ322222-2-2-2-22-22-2200000−2i2i−2i2i000-2000200002i−2i00000000
χ332222-2-2-2-2-2222-2000002i−2i−2i2i002000-200000002i−2i000000
χ342222-2-2-2-2-2222-2000002i−2i−2i2i00-200020000000−2i2i000000
χ352222-2-2-2-2-2222-200000−2i2i2i−2i002000-20000000−2i2i000000
χ362222-2-2-2-2-2222-200000−2i2i2i−2i00-2000200000002i−2i000000
χ374444-4-4444-4-44-40000000000000000000000000000000
χ384444-4-444-44-4-440000000000000000000000000000000
χ3988-8-800000000042−4200000000000000000000000000000
χ4088-8-8000000000−424200000000000000000000000000000
χ418-88-88-800000000000000000000000000000000000000
χ428-88-8-8800000000000000000000000000000000000000
χ438-8-88008i−8i000000000000000000000000000000000000
χ448-8-8800−8i8i000000000000000000000000000000000000

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