Finite Group Databasebeta

← Group #173502

Character table — Group #173502

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111111144444444444488888888888881616161616161616161616161616161616163232
order12222222444444444444444444444444444444488888888888824
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ5111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1
χ911111111-1-1-1-1-1-1111111-111-1-111-1-111-1-11-11-11-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-1-1-1111111-111-1-111-1-111-1-11-11-11-1-1-111-1-111-1-111-11
χ1111111111-1-1-1-1-1-1111111-111-1-1-1-111-1-111-11-111-111-1-1-1-11111-1-1-11
χ1211111111-1-1-1-1-1-1111111-111-1-1-1-111-1-111-11-111-1-1-11111-1-1-1-1111-1
χ1311111111-1-1-1-1-1-1111111-1-1-11111-1-1-1-1111-1-11-1111-1-111-1-1-1-111-11
χ1411111111-1-1-1-1-1-1111111-1-1-11111-1-1-1-1111-1-11-11-1-111-1-11111-1-11-1
χ1511111111-1-1-1-1-1-1111111-1-1-111-1-11111-1-1-111-1-1111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1-1-1111111-1-1-111-1-11111-1-1-111-1-11-1-11111-1-111-1-1-11
χ17222222222222-2-2-222-2-2-2-22222000000000000-2-200000000000000
χ18222222222222-2-2-222-2-2-2-2-2-2-2-20000000000002200000000000000
χ192222222222-2-222-2-2-222-2-200000000222200-2-20000000000000000
χ202222222222-2-222-2-2-222-2-200000000-2-2-2-200220000000000000000
χ212222222222-2-2-2-22-2-2-2-222000022-2-20000-22000000000000000000
χ222222222222-2-2-2-22-2-2-2-2220000-2-22200002-2000000000000000000
χ2322222222-2-222222-2-2-2-22-2000022220000-2-2000000000000000000
χ2422222222-2-222222-2-2-2-22-20000-2-2-2-2000022000000000000000000
χ2522222222-2-222-2-2-2-2-222-220000000022-2-200-220000000000000000
χ2622222222-2-222-2-2-2-2-222-2200000000-2-222002-20000000000000000
χ2722222222-2-2-2-222-222-2-2-2222-2-2000000000000-2200000000000000
χ2822222222-2-2-2-222-222-2-2-22-2-2220000000000002-200000000000000
χ292-2-2-22-222002-22-2-200002000002-22-200000000002−22−22−22−2000000
χ302-2-2-22-222002-22-2-200002000002-22-20000000000−22−22−22−22000000
χ312-2-2-22-222002-22-2-20000200000-22-2200000000002−22−2−22−22000000
χ322-2-2-22-222002-22-2-20000200000-22-220000000000−22−222−22−2000000
χ332-2-2-22-22200-22-22-200002000002-2-2200000000002−2−222−2−22000000
χ342-2-2-22-22200-22-22-200002000002-2-220000000000−222−2−222−2000000
χ352-2-2-22-22200-22-22-20000200000-222-200000000002−2−22−222−2000000
χ362-2-2-22-22200-22-22-20000200000-222-20000000000−222−22−2−22000000
χ37444-44-4-4-400000004-40000004-40000000000000000000000000000
χ38444-44-4-4-400000004-4000000-440000000000000000000000000000
χ39444-44-4-4-40000000-4400004-4000000000000000000000000000000
χ40444-44-4-4-40000000-440000-44000000000000000000000000000000
χ4144-44-4-4-444-400000000000000000000000000000000000002i−2i2i−2i00
χ4244-44-4-4-444-40000000000000000000000000000000000000−2i2i−2i2i00
χ4344-44-4-4-44-4400000000000000000000000000000000000002i−2i−2i2i00
χ4444-44-4-4-44-440000000000000000000000000000000000000−2i2i2i−2i00
χ4544-4-4-444-40000000004-40000000000004i−4i00000000000000000000
χ4644-4-4-444-40000000004-4000000000000−4i4i00000000000000000000
χ4744-4-4-444-4000000000-4400000000004i−4i0000000000000000000000
χ4844-4-4-444-4000000000-440000000000−4i4i0000000000000000000000
χ494-4-4-44-444004-4-4440000-4000000000000000000000000000000000
χ504-4-4-44-44400-444-440000-4000000000000000000000000000000000
χ518-888-8-88-8000000000000000000000000000000000000000000000
χ528-88-8-88-88000000000000000000000000000000000000000000000
χ538-8-8888-8-8000000000000000000000000000000000000000000000

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