Finite Group Databasebeta

← Group #503013

Character table — Group #503013

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222222224444444444444444444444444444444444488
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11-1-111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-111-1-1-1-11-111-11111-1-1-11111-1-1-1-1-1-1
χ411111111111111111-1-111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1111111
χ5111111111111111-1-11111-1-1-1-1-1-111111-1-111-1-1-1-1-11111-1-1
χ6111111111111111-1-11111-1-1-1-1-1-1-1-11-1-1-1-111-11111-1-1-1-111
χ7111111111111111-1-1-1-1111111-1111-111-1-1-1-11-1-1-1-1-1-1-1-111
χ8111111111111111-1-1-1-1111111-11-1-1-1-1-1-1-1-1-1111111111-1-1
χ911111111111-1-11-11111-1-11111-1-11-1-11-11-11-1-111-1-111-1-11-1
χ1011111111111-1-11-11111-1-11111-1-1-11-1-111-11-1-1-1-111-1-111-11
χ1111111111111-1-11-111-1-1-1-1-1-1-1-1-111-111-11-1-11111-1-1-1-111-11
χ1211111111111-1-11-111-1-1-1-1-1-1-1-1-11-111-111-1-111-1-11111-1-11-1
χ1311111111111-1-11-1-1-111-1-1-1-1-1-1111-1-11-1-111-11-1-11111-1-1-11
χ1411111111111-1-11-1-1-111-1-1-1-1-1-111-11-1-11-111-1111-1-1-1-1111-1
χ1511111111111-1-11-1-1-1-1-1-1-111111-11-111-1-11-11-1-1-111-1-1111-1
χ1611111111111-1-11-1-1-1-1-1-1-111111-1-111-11-11-11-111-1-111-1-1-11
χ1722222222-2-2-222-2-200222-20000000020000-2-200000000000
χ1822222222-2-2-222-2-200-2-22-200000000-200002200000000000
χ1922222222-2-2-2-2-2-220022-2200000000-20000-2200000000000
χ2022222222-2-2-2-2-2-2200-2-2-2200000000200002-200000000000
χ21222222-2-222-222-2-22200-2200002000000-2-20000000000000
χ22222222-2-222-222-2-2-2-200-220000-2000000220000000000000
χ23222222-2-222-2-2-2-2222002-20000-2000000-220000000000000
χ24222222-2-222-2-2-2-22-2-2002-2000020000002-20000000000000
χ25222222-2-2-2-2222220000-2-222-2-202000000000-20000000000
χ26222222-2-2-2-2222220000-2-2-2-2220-200000000020000000000
χ27222222-2-2-2-22-2-22-200002222-2-20-200000000020000000000
χ28222222-2-2-2-22-2-22-2000022-2-22202000000000-20000000000
χ2922-2-22-22-22-2-200200000002i−2i2i−2i000000000000002i−2i002-200
χ3022-2-22-22-22-2-200200000002i−2i2i−2i00000000000000−2i2i00-2200
χ3122-2-22-22-22-2-20020000000−2i2i−2i2i000000000000002i−2i00-2200
χ3222-2-22-22-22-2-20020000000−2i2i−2i2i00000000000000−2i2i002-200
χ3322-2-22-2-22-22-200200000002i−2i−2i2i0000000000002i−2i002-20000
χ3422-2-22-2-22-22-200200000002i−2i−2i2i000000000000−2i2i00-220000
χ3522-2-22-2-22-22-20020000000−2i2i2i−2i0000000000002i−2i00-220000
χ3622-2-22-2-22-22-20020000000−2i2i2i−2i000000000000−2i2i002-20000
χ374444-4-4000004-400000000000000220-2-2000000000000000
χ384444-4-4000004-400000000000000-2-2022000000000000000
χ394444-4-400000-44000000000000002-20-22000000000000000
χ404444-4-400000-4400000000000000-2202-2000000000000000
χ4144-4-44-44-4-44400-4000000000000000000000000000000000
χ4244-4-44-4-444-4400-4000000000000000000000000000000000
χ4388-8-8-8800000000000000000000000000000000000000000
χ448-88-800000000000004-40000000000000000000000000000
χ458-88-80000000000000-440000000000000000000000000000
χ468-8-88000000000004i−4i000000000000000000000000000000
χ478-8-8800000000000−4i4i000000000000000000000000000000

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