Finite Group Databasebeta

← Group #295209

Character table — Group #295209

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111111144444444444488888888888881616161616161616161616161616161616163232
order12222222444444444444444448888888824444444448888888822
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ7111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911111111-1-11-1-1-1-111111-111111111-1-1-1-11-1-1-11-11-11-111-1-111-1-11-1
χ1011111111-1-11-1-1-1-111111-111111111-1-1-1-1-11-1-1-11-11-1111-1-1-1-111-11
χ1111111111-1-11-1-1-1-111111-11111-1-1-1-111111-1-1-11-11-11-1-1-111-1-111-11
χ1211111111-1-11-1-1-1-111111-11111-1-1-1-11111-11-1-1-11-11-11-1-11111-1-11-1
χ1311111111-1-11-1-1-1-111111-1-1-1-1-11111-1-1-1-11-1111-1-11-11-1-11111-1-1-11
χ1411111111-1-11-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1111-111-11-1-1-111-1-1111-1
χ1511111111-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-111111-1111-1-11-1111-1-1-1-1111-1
χ1611111111-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-11111-1111-111-11-111-1-111-1-1-11
χ172222222222222-2-2-2-2-2-22-222-2-200000000002-20000000000000000
χ182222222222222-2-2-2-2-2-22-2-2-2220000000000-220000000000000000
χ192222222222-2-2-22222-2-2-2-20000000000002-200-2200000000000000
χ202222222222-2-2-22222-2-2-2-2000000000000-22002-200000000000000
χ212222222222-2-2-2-2-2-2-222-220000000000000000002-2-220000000000
χ222222222222-2-2-2-2-2-2-222-22000000000000000000-222-20000000000
χ2322222222-2-22-2-222-2-2-2-22222-2-20000000000-220000000000000000
χ2422222222-2-22-2-222-2-2-2-222-2-22200000000002-20000000000000000
χ2522222222-2-2-22222-2-222-2-200000000000000000022-2-20000000000
χ2622222222-2-2-22222-2-222-2-2000000000000000000-2-2220000000000
χ2722222222-2-2-222-2-222-2-2-220000000000002200-2-200000000000000
χ2822222222-2-2-222-2-222-2-2-22000000000000-2-2002200000000000000
χ292-22-222-2-200200002-22-2-202i−2i2i−2i00002i2i−2i−2i0000000000002-2000000
χ302-22-222-2-200200002-22-2-202i−2i2i−2i0000−2i−2i2i2i000000000000-22000000
χ312-22-222-2-200200002-22-2-20−2i2i−2i2i00002i2i−2i−2i000000000000-22000000
χ322-22-222-2-200200002-22-2-20−2i2i−2i2i0000−2i−2i2i2i0000000000002-2000000
χ332-22-222-2-20020000-22-22-202i−2i−2i2i2i2i−2i−2i000000000000002-200000000
χ342-22-222-2-20020000-22-22-202i−2i−2i2i−2i−2i2i2i00000000000000-2200000000
χ352-22-222-2-20020000-22-22-20−2i2i2i−2i2i2i−2i−2i00000000000000-2200000000
χ362-22-222-2-20020000-22-22-20−2i2i2i−2i−2i−2i2i2i000000000000002-200000000
χ37444-4-4-44-40004-400000000000000000000000000000000002i−2i2i−2i00
χ38444-4-4-44-40004-40000000000000000000000000000000000−2i2i−2i2i00
χ39444-4-4-44-4000-4400000000000000000000000000000000002i−2i−2i2i00
χ40444-4-4-44-4000-440000000000000000000000000000000000−2i2i2i−2i00
χ4144-444-4-4-44-40000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ4244-444-4-4-44-4000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ4344-444-4-4-4-440000000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ4444-444-4-4-4-44000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ454-44-444-4-400-400004-4-444000000000000000000000000000000000
χ464-44-444-4-400-40000-444-44000000000000000000000000000000000
χ474-4-4-44-444000004-400000000002-2-222-2-2200000000000000000000
χ484-4-4-44-444000004-40000000000-222-2-222-200000000000000000000
χ494-4-4-44-44400000-4400000000002-2-22-222-200000000000000000000
χ504-4-4-44-44400000-440000000000-222-22-2-2200000000000000000000
χ5188-8-8-88-88000000000000000000000000000000000000000000000
χ528-888-8-8-88000000000000000000000000000000000000000000000
χ538-8-88-888-8000000000000000000000000000000000000000000000

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