Finite Group Databasebeta

← Group #170898

Character table — Group #170898

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111111144444444444488888888888881616161616161616161616161616161616163232
order12222222444444444444224448888888824444444448888888844
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1
χ31111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-11111-1-1-1-111
χ511111111111111111111-1-11-1-111111111-111-1-1-111-1-11111-1-1-1-1-1-1
χ611111111111111111111-1-11-1-111111111-1-1-111-1-1-111-1-1-1-1-1-1-1-111
χ711111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1111111
χ811111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111111-1-1
χ911111111-1-1-1-11-1-11111111-1-1-11111-1-1-1-1-11-11-111-11-111-1-111-1-11-1
χ1011111111-1-1-1-11-1-11111111-1-1-11111-1-1-1-1-1-11-111-11-11-1-11111-1-1-11
χ1111111111-1-1-1-11-1-11111111-1-1-1-1-1-1-11111-11-11-111-11-1-1-111-1-111-11
χ1211111111-1-1-1-11-1-11111111-1-1-1-1-1-1-11111-1-11-111-11-1111-1-1-1-1111-1
χ1311111111-1-1-1-11-1-111111-1-1-1111111-1-1-1-111-1-11-11-1-1111-1-1-1-111-11
χ1411111111-1-1-1-11-1-111111-1-1-1111111-1-1-1-11-111-1-1-111-1-1-111-1-1111-1
χ1511111111-1-1-1-11-1-111111-1-1-111-1-1-1-1111111-1-11-11-1-11-1-11111-1-11-1
χ1611111111-1-1-1-11-1-111111-1-1-111-1-1-1-111111-111-1-1-111-111-1-111-1-1-11
χ17222222222222-2-2-222-2-2-200-200000000000002-2000-220000000000
χ18222222222222-2-2-222-2-2-200-20000000000000-220002-20000000000
χ192222222222-2-22-2-2-2-2-2-22002000000000002-2000-22000000000000
χ202222222222-2-22-2-2-2-2-2-2200200000000000-220002-2000000000000
χ212222222222-2-2-222-2-222-222-22200000000-20000-200000000000000
χ222222222222-2-2-222-2-222-2-2-2-2-2-20000000020000200000000000000
χ2322222222-2-222222-2-2-2-2200-20000000000022000-2-2000000000000
χ2422222222-2-222222-2-2-2-2200-200000000000-2-200022000000000000
χ2522222222-2-222-2-2-2-2-222-2222-2-20000000020000-200000000000000
χ2622222222-2-222-2-2-2-2-222-2-2-222200000000-20000200000000000000
χ2722222222-2-2-2-2-22222-2-2-2002000000000000022000-2-20000000000
χ2822222222-2-2-2-2-22222-2-2-20020000000000000-2-2000220000000000
χ292-222-2-22-22i−2i0002i−2i002-202-202i−2ii2i2−i2−i222−2−200000000000000i2−i22−200
χ302-222-2-22-22i−2i0002i−2i002-202-202i−2i−i2−i2i2i2−2−22200000000000000−i2i2−2200
χ312-222-2-22-22i−2i0002i−2i002-20-220−2i2ii2i2−i2−i222−2−200000000000000−i2i2−2200
χ322-222-2-22-22i−2i0002i−2i002-20-220−2i2i−i2−i2i2i2−2−22200000000000000i2−i22−200
χ332-222-2-22-2−2i2i000−2i2i002-202-20−2i2ii2i2−i2−i2−2−22200000000000000i2−i2−2200
χ342-222-2-22-2−2i2i000−2i2i002-202-20−2i2i−i2−i2i2i222−2−200000000000000−i2i22−200
χ352-222-2-22-2−2i2i000−2i2i002-20-2202i−2ii2i2−i2−i2−2−22200000000000000−i2i22−200
χ362-222-2-22-2−2i2i000−2i2i002-20-2202i−2i−i2−i2i2i222−2−200000000000000i2−i2−2200
χ37444-44-4-4-4004-400000000000002-22-22-22-200000000000000000000
χ38444-44-4-4-4004-40000000000000-22-22-22-2200000000000000000000
χ39444-44-4-4-400-4400000000000002-22-2-22-2200000000000000000000
χ40444-44-4-4-400-440000000000000-22-222-22-200000000000000000000
χ414-444-4-44-44i−4i000−4i4i00-440000000000000000000000000000000000
χ424-444-4-44-4−4i4i0004i−4i00-440000000000000000000000000000000000
χ434-44-4-44-4400004000000-4000002i2−2i2−2i22i2000000000000000000000000
χ444-44-4-44-4400004000000-400000−2i22i22i2−2i2000000000000000000000000
χ454-44-4-44-440000-4000000400000000022−22−222200000000000000000000
χ464-44-4-44-440000-40000004000000000−222222−2200000000000000000000
χ474-4-444-4-4400000004-4000000000000000000000000002i2−2i200000000
χ484-4-444-4-4400000004-400000000000000000000000000−2i22i200000000
χ494-4-444-4-440000000-4400000000000000000000000000002i2−2i2000000
χ504-4-444-4-440000000-440000000000000000000000000000−2i22i2000000
χ5188-88-88-8-8000000000000000000000000000000000000000000000
χ5288-8-8-8-888000000000000000000000000000000000000000000000
χ538-8-8-8888-8000000000000000000000000000000000000000000000

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