Finite Group Databasebeta

← Group #260952

Character table — Group #260952

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444444444422444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-11-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-11-1-11-1111-1-1-11-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-11-1-11-1111-1-1-11-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-11-1-11-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-11-1-11-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1
χ911111111-1-111-1-1111111-111-1-111-11-1-1-11-111-1-111-1-111-1-111-1-1
χ1011111111-1-111-1-1111111-111-1-111-11-1-1-11-1-1-111-1-111-1-111-1-111
χ1111111111-1-111-1-1111111-111-1-1-1-11-11-11-1111-1-111-1-1-1-111-1-111
χ1211111111-1-111-1-1111111-111-1-1-1-11-11-11-11-1-111-1-11111-1-111-1-1
χ1311111111-1-111-1-11111-1-1-1-1-1-1111-1-111-1-1111-1-1-1-11111-1-1-1-111
χ1411111111-1-111-1-11111-1-1-1-1-1-1111-1-111-1-11-1-11111-1-1-1-11111-1-1
χ1511111111-1-111-1-11111-1-1-1-1-1-11-1-111-1111-111-1-1-1-111-1-11111-1-1
χ1611111111-1-111-1-11111-1-1-1-1-1-11-1-111-1111-1-1-11111-1-111-1-1-1-111
χ1722222222222-222-2-22-200-200-200002-200-220000000000000000
χ1822222222222-222-2-22-200-200-20000-22002-20000000000000000
χ192222222222-22-2-2-2-2-2200200-202-2-20002000000000000000000
χ202222222222-22-2-2-2-2-2200200-20-222000-2000000000000000000
χ212222222222-2-2-2-222-2-222-2-2-22-20000020000000000000000000
χ222222222222-2-2-2-222-2-2-2-2-2222200000-20000000000000000000
χ2322222222-2-22-2-2-2-2-22-200200200002200-2-20000000000000000
χ2422222222-2-22-2-2-2-2-22-20020020000-2-200220000000000000000
χ2522222222-2-2-2222-2-2-2200-200202-22000-2000000000000000000
χ2622222222-2-2-2222-2-2-2200-20020-22-20002000000000000000000
χ2722222222-2-2-2-22222-2-2222-2-2-2200000-20000000000000000000
χ2822222222-2-2-2-22222-2-2-2-2222-2-20000020000000000000000000
χ292-222-2-22-2002-2002-2-222i−2i02i−2i00000000000002-2002i−2i00000000
χ302-222-2-22-2002-2002-2-222i−2i02i−2i0000000000000-2200−2i2i00000000
χ312-222-2-22-2002-2002-2-22−2i2i0−2i2i00000000000002-200−2i2i00000000
χ322-222-2-22-2002-2002-2-22−2i2i0−2i2i0000000000000-22002i−2i00000000
χ332-222-2-22-200-22002-22-22i−2i0−2i2i000000000002i−2i002-20000000000
χ342-222-2-22-200-22002-22-22i−2i0−2i2i00000000000−2i2i00-220000000000
χ352-222-2-22-200-22002-22-2−2i2i02i−2i000000000002i−2i00-220000000000
χ362-222-2-22-200-22002-22-2−2i2i02i−2i00000000000−2i2i002-20000000000
χ37444-44-4-4-400004-4000000000000000000000000000000002-22-2
χ38444-44-4-4-400004-400000000000000000000000000000000-22-22
χ39444-44-4-4-40000-44000000000000000000000000000000002-2-22
χ40444-44-4-4-40000-4400000000000000000000000000000000-222-2
χ414-444-4-44-4004400-44-4-400000000000000000000000000000000
χ424-444-4-44-400-4-400-444400000000000000000000000000000000
χ434-4-444-4-444i−4i000000000000000000000000000000002-22i−2i0000
χ444-4-444-4-444i−4i00000000000000000000000000000000-22−2i2i0000
χ454-4-444-4-44−4i4i000000000000000000000000000000002-2−2i2i0000
χ464-4-444-4-44−4i4i00000000000000000000000000000000-222i−2i0000
χ4788-88-88-8-8000000000000000000000000000000000000000000
χ4888-8-8-8-888000000000000000000000000000000000000000000
χ498-88-8-88-88000000000000000000000000000000000000000000
χ508-8-8-8888-8000000000000000000000000000000000000000000

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