Finite Group Databasebeta

← Group #168917

Character table — Group #168917

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222224444444422224444442444444488888888888824
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ6111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ911111111-1-11-1-11111111-1-1-1-111-1-1-111-11-11-111-1-111-1-111-1-11-1
χ1011111111-1-11-1-11111111-1-1-1-111-1-1-111-11-11-1-1-111-1-111-1-111-11
χ1111111111-1-11-1-11111111-1-1-1-1-1-1111-11-1-11-1111-1-111-1-1-1-111-11
χ1211111111-1-11-1-11111111-1-1-1-1-1-1111-11-1-11-11-1-111-1-11111-1-11-1
χ1311111111-1-11-1-111111-1-111-1-111-1-1-11-11-11-1111-1-1-1-11111-1-1-11
χ1411111111-1-11-1-111111-1-111-1-111-1-1-11-11-11-11-1-11111-1-1-1-1111-1
χ1511111111-1-11-1-111111-1-111-1-1-1-1111-1-111-11-111-1-1-1-111-1-1111-1
χ1611111111-1-11-1-111111-1-111-1-1-1-1111-1-111-11-1-1-11111-1-111-1-1-11
χ172222222222222-2-2-2-222222-2-2000000-2-2000000000000000000
χ182222222222222-2-2-2-22-2-2-2-2-2-200000022000000000000000000
χ192222222222-2-2-222-2-2-200002-2000000002-2-2200000000000000
χ202222222222-2-2-222-2-2-200002-200000000-222-200000000000000
χ212222222222-2-2-2-2-222-20000-222222-2-200000000000000000000
χ222222222222-2-2-2-2-222-20000-22-2-2-2-22200000000000000000000
χ2322222222-2-22-2-2-2-2-2-2222-2-222000000-22000000000000000000
χ2422222222-2-22-2-2-2-2-2-22-2-222220000002-2000000000000000000
χ2522222222-2-2-22222-2-2-20000-220000000022-2-200000000000000
χ2622222222-2-2-22222-2-2-20000-2200000000-2-22200000000000000
χ2722222222-2-2-222-2-222-200002-222-2-22-200000000000000000000
χ2822222222-2-2-222-2-222-200002-2-2-222-2200000000000000000000
χ292-22-2-2-2222-2-22-2000022-22-2000000000000002−22−22−22−2000000
χ302-22-2-2-2222-2-22-2000022-22-200000000000000−22−22−22−22000000
χ312-22-2-2-2222-2-22-200002-22-22000000000000002−22−2−22−22000000
χ322-22-2-2-2222-2-22-200002-22-2200000000000000−22−222−22−2000000
χ332-22-2-2-222-22-2-22000022-2-22000000000000002−2−222−2−22000000
χ342-22-2-2-222-22-2-22000022-2-2200000000000000−222−2−222−2000000
χ352-22-2-2-222-22-2-2200002-222-2000000000000002−2−22−222−2000000
χ362-22-2-2-222-22-2-2200002-222-200000000000000−222−22−2−22000000
χ374-444-44-4-400000004-40000000004i−4i0000000000000000000000
χ384-444-44-4-400000004-4000000000−4i4i0000000000000000000000
χ394-444-44-4-40000000-4400000004i−4i000000000000000000000000
χ404-444-44-4-40000000-440000000−4i4i000000000000000000000000
χ414-44-4-4-4444-44-440000-400000000000000000000000000000000
χ424-44-4-4-444-4444-40000-400000000000000000000000000000000
χ434-4-4-444-44000004-4000000000000000000000000000000022−2200
χ444-4-4-444-44000004-40000000000000000000000000000000−222200
χ454-4-4-444-4400000-440000000000000000000000000000022−220000
χ464-4-4-444-4400000-4400000000000000000000000000000−22220000
χ47888-88-8-8-8000000000000000000000000000000000000000000
χ4888-88-8-8-88000000000000000000000000000000000000000000
χ4988-8-8-888-8000000000000000000000000000000000000000000
χ508-8-888-88-8000000000000000000000000000000000000000000

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