Finite Group Databasebeta

← Group #317338

Character table — Group #317338

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size111122224444444888888816161616161616161616161616161616161632323232
order12224444244448888888882244444488888888888888
χ111111111111111111111111111111111111111111111
χ211111111111111111111111-1111-1-1-11111-1-1-1-111-1-1-1-1
χ31111111111111111111111-11-1-1-1111-1-1-1-1111111-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-111-1-1
χ611111111111111111-1-1-1-111-1111-111-1-1-1-1-1-111-1-1-1-111
χ711111111111111111-1-1-1-11-11-1-1-11-1-1111111-1-1-1-1-1-111
χ811111111111111111-1-1-1-11-1-1-1-1-1-1111111-1-111-1-111-1-1
χ91111111111111-1-1-1-11111-1111-1-11-1-111-1-1-1-111-1-11-11-1
χ101111111111111-1-1-1-11111-11-11-1-1-11111-1-111-1-1-1-1-11-11
χ111111111111111-1-1-1-11111-1-11-1111-1-1-1-111-1-111-1-1-11-11
χ121111111111111-1-1-1-11111-1-1-1-111-111-1-11111-1-1-1-11-11-1
χ131111111111111-1-1-1-1-1-1-1-1-1111-1-1111-1-111-1-1-1-1111-1-11
χ141111111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-111111111-111-1
χ151111111111111-1-1-1-1-1-1-1-1-1-11-11111111-1-1-1-1-1-111-111-1
χ161111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11111111-1-11
χ1722222222-2-22-2-2222-222-2-2-200000000000000002-20000
χ1822222222-2-22-2-2222-2-2-222-20000000000000000-220000
χ1922222222-2-22-2-2-2-2-2222-2-220000000000000000-220000
χ2022222222-2-22-2-2-2-2-22-2-222200000000000000002-20000
χ2122222-2-2222-2-2-222-2-200002000000002i−2i2i−2i0000000000
χ2222222-2-2222-2-2-222-2-20000200000000−2i2i−2i2i0000000000
χ2322222-2-2222-2-2-2-2-2220000-2000000002i−2i−2i2i0000000000
χ2422222-2-2222-2-2-2-2-2220000-200000000−2i2i2i−2i0000000000
χ2522222-2-22-2-2-22222-220000-220-22-200000000000000000
χ2622222-2-22-2-2-22222-220000-2-202-2200000000000000000
χ2722222-2-22-2-2-222-2-22-20000220-2-2200000000000000000
χ2822222-2-22-2-2-222-2-22-200002-2022-200000000000000000
χ292222-2-2-2-22-222-200002i−2i2i−2i00000002-200002i−2i00000000
χ302222-2-2-2-22-222-200002i−2i2i−2i0000000-220000−2i2i00000000
χ312222-2-2-2-22-222-20000−2i2i−2i2i00000002-20000−2i2i00000000
χ322222-2-2-2-22-222-20000−2i2i−2i2i0000000-2200002i−2i00000000
χ332222-2-2-2-2-222-2200002i−2i−2i2i002000-2000000002i−2i000000
χ342222-2-2-2-2-222-2200002i−2i−2i2i00-2000200000000−2i2i000000
χ352222-2-2-2-2-222-220000−2i2i2i−2i002000-200000000−2i2i000000
χ362222-2-2-2-2-222-220000−2i2i2i−2i00-20002000000002i−2i000000
χ374444-444-44-4-4-440000000000000000000000000000000
χ384444-444-4-44-44-40000000000000000000000000000000
χ3988-8-80000000004i2−4i200000000000000000000000000000
χ4088-8-8000000000−4i24i200000000000000000000000000000
χ418-88-808i−8i0000000000000000000000000000000000000
χ428-88-80−8i8i0000000000000000000000000000000000000
χ438-8-88800-8000000000000000000000000000000000000
χ448-8-88-8008000000000000000000000000000000000000

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