Finite Group Databasebeta

← Group #171795

Character table — Group #171795

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222244444444444488888888888888888888161616161616161616161616161616161616
order12222222444422444444444422222244444488888888244444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111-1-1-1-1111111111-1-1-1-1-11-1-1-1-1-1-1-11111
χ411111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1111111-1-1-1-1
χ5111111111111111111111111-1-111-1-1-1-111-1-111111111-11-1111-1-111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-111111111
χ7111111111111111111111111-1-1-1-111-1-1-1-11111111111-1-11-1-1-1-11-1-11111-1-1-1-1
χ8111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-111-1111-1-1-1-11111
χ911111111-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-111-1111-1-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-111-1-1-11-111-1-111-1-111
χ1111111111-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1-11111-1-11111-1-1
χ1211111111-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-11111-1-1-111111-1-111-1-1-1-111
χ1311111111-1-1-1-1-1-11-1-1-1-111111-1-111-1-111-1-1111111-1-1-1-111-1-111-11-1-1-1-111-1-111
χ1411111111-1-1-1-1-1-11-1-1-1-111111-1-111-1-111-1-111-1-1-1-1111111-1-1-1-1-111111-1-111-1-1
χ1511111111-1-1-1-1-1-11-1-1-1-111111-1-1-1-1111111-1-11111-1-1-1-11-111-1-1-1-11111-1-1-1-111
χ1611111111-1-1-1-1-1-11-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-111111-11111-1-1-1-1-1-11111-1-1
χ17222222222222222-2-2-2-2-2-2-2-220000220000220000000000-20000-20000000000
χ18222222222222222-2-2-2-2-2-2-2-220000-2-20000-2-200000000002000020000000000
χ19222222222222-2-2-222-2-2-2-222-200220000-2-200000000000-20200000000000000
χ20222222222222-2-2-222-2-2-2-222-200-2-20000220000000000020-200000000000000
χ21222222222222-2-2-2-2-22222-2-2-222000022000000000000-200000-200000000000
χ22222222222222-2-2-2-2-22222-2-2-2-2-20000-2-2000000000000200000200000000000
χ2322222222-2-2-2-222-222-2-222-2-2-2220000-2-2000000000000200000-200000000000
χ2422222222-2-2-2-222-222-2-222-2-2-2-2-2000022000000000000-200000200000000000
χ2522222222-2-2-2-222-2-2-222-2-222-2002200002200000000000-20-200000000000000
χ2622222222-2-2-2-222-2-2-222-2-222-200-2-20000-2-20000000000020200000000000000
χ2722222222-2-2-2-2-2-222222-2-2-2-220000220000-2-20000000000-2000020000000000
χ2822222222-2-2-2-2-2-222222-2-2-2-220000-2-2000022000000000020000-20000000000
χ292-222-22-2-22i2i−2i−2i000002i−2i2-20002-200002i−2i000022−2−2i2i2−i2−i2000000000000002−2i2−i2
χ302-222-22-2-22i2i−2i−2i000002i−2i2-20002-200002i−2i0000−2−222−i2−i2i2i200000000000000−22−i2i2
χ312-222-22-2-22i2i−2i−2i000002i−2i2-2000-220000−2i2i000022−2−2i2i2−i2−i200000000000000−22−i2i2
χ322-222-22-2-22i2i−2i−2i000002i−2i2-2000-220000−2i2i0000−2−222−i2−i2i2i2000000000000002−2i2−i2
χ332-222-22-2-2−2i−2i2i2i00000−2i2i2-20002-20000−2i2i000022−2−2−i2−i2i2i2000000000000002−2−i2i2
χ342-222-22-2-2−2i−2i2i2i00000−2i2i2-20002-20000−2i2i0000−2−222i2i2−i2−i200000000000000−22i2−i2
χ352-222-22-2-2−2i−2i2i2i00000−2i2i2-2000-2200002i−2i000022−2−2−i2−i2i2i200000000000000−22i2−i2
χ362-222-22-2-2−2i−2i2i2i00000−2i2i2-2000-2200002i−2i0000−2−222i2i2−i2−i2000000000000002−2−i2i2
χ372-22-22-22-22-22-22-2200000000-200002-200002-2i2−i2i2−i2i2−i2i2−i20000000000i2−i2i2−i20000
χ382-22-22-22-22-22-22-2200000000-200002-200002-2−i2i2−i2i2−i2i2−i2i20000000000−i2i2−i2i20000
χ392-22-22-22-22-22-22-2200000000-20000-220000-22i2−i2i2−i2i2−i2i2−i20000000000−i2i2−i2i20000
χ402-22-22-22-22-22-22-2200000000-20000-220000-22−i2i2−i2i2−i2i2−i2i20000000000i2−i2i2−i20000
χ412-22-22-22-2-22-22-22200000000-200002-20000-22i2−i2i2−i2−i2i2−i2i20000000000i2−i2−i2i20000
χ422-22-22-22-2-22-22-22200000000-200002-20000-22−i2i2−i2i2i2−i2i2−i20000000000−i2i2i2−i20000
χ432-22-22-22-2-22-22-22200000000-20000-2200002-2i2−i2i2−i2−i2i2−i2i20000000000−i2i2i2−i20000
χ442-22-22-22-2-22-22-22200000000-20000-2200002-2−i2i2−i2i2i2−i2i2−i20000000000i2−i2−i2i20000
χ45444-4-4-4-444i−4i−4i4i0000000000000000000000002i−2i−2i2i-222-2000000000000000000
χ46444-4-4-4-444i−4i−4i4i000000000000000000000000−2i2i2i−2i2-2-22000000000000000000
χ47444-4-4-4-44−4i4i4i−4i0000000000000000000000002i−2i−2i2i2-2-22000000000000000000
χ48444-4-4-4-44−4i4i4i−4i000000000000000000000000−2i2i2i−2i-222-2000000000000000000
χ494-444-44-4-44i4i−4i−4i00000−4i4i-4400000000000000000000000000000000000000000
χ504-444-44-4-4−4i−4i4i4i000004i−4i-4400000000000000000000000000000000000000000
χ514-44-44-44-44-44-4-44-400000000400000000000000000000000000000000000000
χ524-44-44-44-4-44-444-4-400000000400000000000000000000000000000000000000
χ534-4-44-4-44400000000000004-40000000004-40000000000000000000000000000
χ544-4-44-4-44400000000000004-4000000000-440000000000000000000000000000
χ554-4-44-4-4440000000000000-440004-40000000000000000000000000000000000
χ564-4-44-4-4440000000000000-44000-440000000000000000000000000000000000
χ574-4-4-444-4400000004-400000000000000000000000000000002-2002-200000000
χ584-4-4-444-4400000004-40000000000000000000000000000000-2200-2200000000
χ594-4-4-444-440000000-4400000000000000000000000000000002-200-2200000000
χ604-4-4-444-440000000-440000000000000000000000000000000-22002-200000000
χ6188-888-8-8-8000000000000000000000000000000000000000000000000000000
χ6288-8-8-888-8000000000000000000000000000000000000000000000000000000

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