Finite Group Databasebeta

← Group #317330

Character table — Group #317330

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size111122224444444888888816161616161616161616161616161616161632323232
order12224444244448888888882224444488888888888888
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-111-11111-1-1-1-111-1-1-1-1
χ31111111111111111111111-1-1111-1-11-1-1-1-1111111-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-1-1-1111111-111-1-1-1-1-111-1-1-1-111-1-1
χ61111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111
χ71111111111111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-111
χ81111111111111111-1-1-1-111-1-1-1-11-1-111111-1-111-1-111-1-1
χ91111111111111-1-1-11111-1-11-111-11-1-111-1-1-1-111-1-11-11-1
χ101111111111111-1-1-11111-1-11-1-1-111-1111-1-111-1-1-1-1-11-11
χ111111111111111-1-1-11111-1-1-1111-1-11-1-1-111-1-111-1-1-11-11
χ121111111111111-1-1-11111-1-1-11-1-11-111-1-11111-1-1-1-11-11-1
χ131111111111111-1-1-1-1-1-1-1-1-11-11111-11-1-111-1-1-1-1111-1-11
χ141111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-111111111-111-1
χ151111111111111-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-111-111-1
χ161111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-111-1-11111111-1-11
χ1722222222-2-22-2-222-222-2-22-200000000000000002-20000
χ1822222222-2-22-2-222-2-2-2222-20000000000000000-220000
χ1922222222-2-22-2-2-2-2222-2-2-220000000000000000-220000
χ2022222222-2-22-2-2-2-22-2-222-2200000000000000002-20000
χ2122222-2-2222-2-2-22220000-2-2000000002i−2i2i−2i0000000000
χ2222222-2-2222-2-2-22220000-2-200000000−2i2i−2i2i0000000000
χ2322222-2-2222-2-2-2-2-2-2000022000000002i−2i−2i2i0000000000
χ2422222-2-2222-2-2-2-2-2-200002200000000−2i2i2i−2i0000000000
χ2522222-2-22-2-2-22222-20000-222-2000-22000000000000000
χ2622222-2-22-2-2-22222-20000-22-220002-2000000000000000
χ2722222-2-22-2-2-222-2-2200002-222000-2-2000000000000000
χ2822222-2-22-2-2-222-2-2200002-2-2-200022000000000000000
χ292222-2-2-2-22-222-20002i−2i2i−2i00002-200000000002i−2i000000
χ302222-2-2-2-22-222-20002i−2i2i−2i0000-220000000000−2i2i000000
χ312222-2-2-2-22-222-2000−2i2i−2i2i00002-20000000000−2i2i000000
χ322222-2-2-2-22-222-2000−2i2i−2i2i0000-2200000000002i−2i000000
χ332222-2-2-2-2-222-220002i−2i−2i2i000000200-200002i−2i00000000
χ342222-2-2-2-2-222-220002i−2i−2i2i000000-20020000−2i2i00000000
χ352222-2-2-2-2-222-22000−2i2i2i−2i000000200-20000−2i2i00000000
χ362222-2-2-2-2-222-22000−2i2i2i−2i000000-200200002i−2i00000000
χ374444-444-44-4-4-440000000000000000000000000000000
χ384444-444-4-44-44-40000000000000000000000000000000
χ3988-8-808i−8i0000000000000000000000000000000000000
χ4088-8-80−8i8i0000000000000000000000000000000000000
χ418-88-8800-8000000000000000000000000000000000000
χ428-88-8-8008000000000000000000000000000000000000
χ438-8-8800000000042−4200000000000000000000000000000
χ448-8-88000000000−424200000000000000000000000000000

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