Finite Group Databasebeta

← Group #173558

Character table — Group #173558

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111111144444444444488888888888881616161616161616161616161616161616163232
order12222222224444444444224444444444424444488888888888844
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-11-1-1-1-1111-1-1-11-111111111-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-11-1-1-1-1111-1-1-11-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-111-1-1111-1-1-1-1-11-11-1-11111-1-1-1-1-1-1-1-111
χ611111111111111111111-1-111-1-1111-1-1-1-1-11-11-1-1-1-1-1-111111111-1-1
χ711111111111111111111-1-1-1-1111-1-111-1-1-1-11-1-111111-1-1-1-11111-1-1
χ811111111111111111111-1-1-1-1111-1-111-1-1-1-11-1-11-1-1-1-11111-1-1-1-111
χ911111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-11-1
χ1011111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-111-11
χ1111111111-1-1-1-111-1-1111111-1-1-1-1-11111-1-1-111-11-111-1-111-1-1-1-111-11
χ1211111111-1-1-1-111-1-1111111-1-1-1-1-11111-1-1-111-11-1-1-111-1-11111-1-11-1
χ1311111111-1-1-1-111-1-11111-1-111-1-1-1-1-111111-111-1-111-1-1-1-111-1-1111-1
χ1411111111-1-1-1-111-1-11111-1-111-1-1-1-1-111111-111-1-1-1-11111-1-111-1-1-11
χ1511111111-1-1-1-111-1-11111-1-1-1-111-111-1-11111-1-1-1111-1-1-1-11111-1-1-11
χ1611111111-1-1-1-111-1-11111-1-1-1-111-111-1-11111-1-1-11-1-11111-1-1-1-1111-1
χ17222222222222-2-2-2-222-2-2002200-22200000-20-20000000000000000
χ18222222222222-2-2-2-222-2-200-2-200-2-2-2000002020000000000000000
χ192222222222-2-22-2-2-2-2-22-222000020000-2-22000-2000000000000000
χ202222222222-2-22-2-2-2-2-22-2-2-200002000022-20002000000000000000
χ212222222222-2-2-2222-2-2-22000022-200220000-200-200000000000000
χ222222222222-2-2-2222-2-2-220000-2-2-200-2-20000200200000000000000
χ2322222222-2-2222-222-2-22-2220000-2000022-2000-2000000000000000
χ2422222222-2-2222-222-2-22-2-2-20000-20000-2-220002000000000000000
χ2522222222-2-222-22-2-2-2-2-22000022200-2-20000200-200000000000000
χ2622222222-2-222-22-2-2-2-2-220000-2-2200220000-200200000000000000
χ2722222222-2-2-2-2-2-22222-2-20022002-2-20000020-20000000000000000
χ2822222222-2-2-2-2-2-22222-2-200-2-20022200000-2020000000000000000
χ2922-2-2-2-2222-200022-2000-200002i−2i0002i−2i00000000i2−i2i2−i200002−22−200
χ3022-2-2-2-2222-200022-2000-200002i−2i0002i−2i00000000−i2i2−i2i20000−22−2200
χ3122-2-2-2-2222-200022-2000-20000−2i2i000−2i2i00000000i2−i2i2−i20000−22−2200
χ3222-2-2-2-2222-200022-2000-20000−2i2i000−2i2i00000000−i2i2−i2i200002−22−200
χ3322-2-2-2-222-220002-22000-200002i−2i000−2i2i00000000i2−i2−i2i200002−2−2200
χ3422-2-2-2-222-220002-22000-200002i−2i000−2i2i00000000−i2i2i2−i20000−222−200
χ3522-2-2-2-222-220002-22000-20000−2i2i0002i−2i00000000i2−i2−i2i20000−222−200
χ3622-2-2-2-222-220002-22000-20000−2i2i0002i−2i00000000−i2i2i2−i200002−2−2200
χ37444-4-44-4-40000400000-404-40000000000000000000000000000000
χ38444-4-44-4-40000400000-40-440000000000000000000000000000000
χ39444-4-44-4-40000-40000040000000000004i−4i00000000000000000000
χ40444-4-44-4-40000-4000004000000000000−4i4i00000000000000000000
χ4144-4-4-4-4444-4000-4-440004000000000000000000000000000000000
χ4244-4-4-4-444-44000-44-40004000000000000000000000000000000000
χ434-444-4-44-4000000004-40000000004i−4i000000000000000000000000
χ444-444-4-44-4000000004-4000000000−4i4i000000000000000000000000
χ454-444-4-44-400000000-4400004i−4i00000000000000000000000000000
χ464-444-4-44-400000000-440000−4i4i00000000000000000000000000000
χ474-44-44-4-44004i−4i00000000000000000000000000000002i−2i2-2000000
χ484-44-44-4-44004i−4i0000000000000000000000000000000−2i2i-22000000
χ494-44-44-4-4400−4i4i00000000000000000000000000000002i−2i-22000000
χ504-44-44-4-4400−4i4i0000000000000000000000000000000−2i2i2-2000000
χ5188-888-8-8-8000000000000000000000000000000000000000000000
χ528-8-88-88-88000000000000000000000000000000000000000000000
χ538-8-8-8888-8000000000000000000000000000000000000000000000

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