Finite Group Databasebeta

← Group #237916

Character table — Group #237916

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444444416161616161616161616161616161616161616161616161616161616
order12222222224444444444442222444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911111111-1-1111-1-1-1-1-1-111111-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ1011111111-1-1111-1-1-1-1-1-111111-1-111-1-1-1-111-1-11111-1-1-1-111-1-111
χ1111111111-1-1111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111
χ1211111111-1-1111-1-1-1-1-1-111111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1
χ1311111111-1-1111-1-1-1-1-1-1111-1-11111-1-111-1-111-1-1-1-111-1-111-1-111
χ1411111111-1-1111-1-1-1-1-1-1111-1-11111-1-1-1-111-1-111-1-11111-1-111-1-1
χ1511111111-1-1111-1-1-1-1-1-1111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ1611111111-1-1111-1-1-1-1-1-1111-1-111-1-111-1-11111-1-111-1-111-1-1-1-111
χ1722222222222-2-222-2-2-2-22-2-20000000000002-22-2000000000000
χ1822222222222-2-222-2-2-2-22-2-2000000000000-22-22000000000000
χ192222222222-22-2-2-222-2-2-22-2000000002-22-20000000000000000
χ202222222222-22-2-2-222-2-2-22-200000000-22-220000000000000000
χ212222222222-2-22-2-2-2-222-2-2200002-22-200000000000000000000
χ222222222222-2-22-2-2-2-222-2-220000-22-2200000000000000000000
χ2322222222-2-22-2-2-2-222222-2-20000000000002-2-22000000000000
χ2422222222-2-22-2-2-2-222222-2-2000000000000-222-2000000000000
χ2522222222-2-2-22-222-2-222-22-2000000002-2-220000000000000000
χ2622222222-2-2-22-222-2-222-22-200000000-222-20000000000000000
χ2722222222-2-2-2-222222-2-2-2-2200002-2-2200000000000000000000
χ2822222222-2-2-2-222222-2-2-2-220000-222-200000000000000000000
χ292222-2-2-2-22-22222-22-22-2-2-2-22-22-2000000000000000000000000
χ302222-2-2-2-22-22222-22-22-2-2-2-2-22-22000000000000000000000000
χ312222-2-2-2-22-22-2-22-2-22-22-2220000000000000000000000002i−2i2i−2i
χ322222-2-2-2-22-22-2-22-2-22-22-222000000000000000000000000−2i2i−2i2i
χ332222-2-2-2-22-2-22-2-222-2-222-22000000000000000000002i−2i2i−2i0000
χ342222-2-2-2-22-2-22-2-222-2-222-2200000000000000000000−2i2i−2i2i0000
χ352222-2-2-2-22-2-2-22-22-222-222-200000000000000002i−2i2i−2i00000000
χ362222-2-2-2-22-2-2-22-22-222-222-20000000000000000−2i2i−2i2i00000000
χ372222-2-2-2-2-22222-22-22-22-2-2-22-2-22000000000000000000000000
χ382222-2-2-2-2-22222-22-22-22-2-2-2-222-2000000000000000000000000
χ392222-2-2-2-2-222-2-2-222-22-2-2220000000000000000000000002i−2i−2i2i
χ402222-2-2-2-2-222-2-2-222-22-2-222000000000000000000000000−2i2i2i−2i
χ412222-2-2-2-2-22-22-22-2-222-22-22000000000000000000002i−2i−2i2i0000
χ422222-2-2-2-2-22-22-22-2-222-22-2200000000000000000000−2i2i2i−2i0000
χ432222-2-2-2-2-22-2-222-22-2-2222-200000000000000002i−2i−2i2i00000000
χ442222-2-2-2-2-22-2-222-22-2-2222-20000000000000000−2i2i2i−2i00000000
χ4588-8-888-8-8000000000000000000000000000000000000000000
χ4688-8-8-8-888000000000000000000000000000000000000000000
χ478-88-88-88-8000000000000000000000000000000000000000000
χ488-88-8-88-88000000000000000000000000000000000000000000
χ498-8-888-8-88000000000000000000000000000000000000000000
χ508-8-88-888-8000000000000000000000000000000000000000000

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