Finite Group Databasebeta

← Group #238614

Character table — Group #238614

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444444416161616161616161616161616161616161616161616161616161616
order12222222224444444444442444444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1
χ911111111-1-11-1-111-1-1-1-11111-11-1111-11-111-1-1-1-111-1-111-1-111-1-1
χ1011111111-1-11-1-111-1-1-1-11111-11-1-1-11-11-111-1-111-1-111-1-111-1-111
χ1111111111-1-11-1-111-1-1-1-11111-1-11111-1-11-1-111-1-111-1-1-1-111-1-111
χ1211111111-1-11-1-111-1-1-1-11111-1-11-1-11-1-11-1-11111-1-11111-1-111-1-1
χ1311111111-1-11-1-111-1-1-1-1111-111-111-111-1-1-111-1-1-1-11111-1-1-1-111
χ1411111111-1-11-1-111-1-1-1-1111-111-1-1-1-111-1-1-1111111-1-1-1-11111-1-1
χ1511111111-1-11-1-111-1-1-1-1111-11-1111-11-1111-1-1-1-1-1-111-1-11111-1-1
χ1611111111-1-11-1-111-1-1-1-1111-11-11-1-1-11-1111-1-11111-1-111-1-1-1-111
χ172222222222222-2-2-2-2-2-22-2-200000000002-22-200000000000000
χ182222222222222-2-2-2-2-2-22-2-20000000000-22-2200000000000000
χ192222222222-2-2-22-222-2-2-22-200220000-2-2000000000000000000
χ202222222222-2-2-22-222-2-2-22-200-2-2000022000000000000000000
χ212222222222-2-2-2-22-2-222-2-22220000-2-200000000000000000000
χ222222222222-2-2-2-22-2-222-2-22-2-200002200000000000000000000
χ2322222222-2-22-2-2-2-222222-2-200000000002-2-2200000000000000
χ2422222222-2-22-2-2-2-222222-2-20000000000-222-200000000000000
χ2522222222-2-2-2222-2-2-222-22-2002-20000-22000000000000000000
χ2622222222-2-2-2222-2-2-222-22-200-2200002-2000000000000000000
χ2722222222-2-2-222-2222-2-2-2-222-20000-2200000000000000000000
χ2822222222-2-2-222-2222-2-2-2-22-2200002-200000000000000000000
χ292-22-2-222-22-222-22-22-22-2-2-220000000000000000000000002i−2i2i−2i
χ302-22-2-222-22-222-22-22-22-2-2-22000000000000000000000000−2i2i−2i2i
χ312-22-2-222-22-222-2-22-22-22-22-200002i−2i000000002i−2i000000000000
χ322-22-2-222-22-222-2-22-22-22-22-20000−2i2i00000000−2i2i000000000000
χ332-22-2-222-22-2-2-22222-2-222-2-200000000000000002i−2i2i−2i00000000
χ342-22-2-222-22-2-2-22222-2-222-2-20000000000000000−2i2i−2i2i00000000
χ352-22-2-222-22-2-2-22-2-2-222-2222000000000000000000002-22-20000
χ362-22-2-222-22-2-2-22-2-2-222-222200000000000000000000-22-220000
χ372-22-2-222-2-222-222-2-22-22-2-220000000000000000000000002i−2i−2i2i
χ382-22-2-222-2-222-222-2-22-22-2-22000000000000000000000000−2i2i2i−2i
χ392-22-2-222-2-222-22-222-22-2-22-200002i−2i00000000−2i2i000000000000
χ402-22-2-222-2-222-22-222-22-2-22-20000−2i2i000000002i−2i000000000000
χ412-22-2-222-2-22-22-222-222-22-2-200000000000000002i−2i−2i2i00000000
χ422-22-2-222-2-22-22-222-222-22-2-20000000000000000−2i2i2i−2i00000000
χ432-22-2-222-2-22-22-2-2-22-2-22222000000000000000000002-2-220000
χ442-22-2-222-2-22-22-2-2-22-2-2222200000000000000000000-222-20000
χ45888-8-8-8-88000000000000000000000000000000000000000000
χ4688-88-88-8-8000000000000000000000000000000000000000000
χ4788-8-88-88-8000000000000000000000000000000000000000000
χ488-8888-8-8-8000000000000000000000000000000000000000000
χ498-8-88-8-888000000000000000000000000000000000000000000
χ508-8-8-888-88000000000000000000000000000000000000000000

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