Finite Group Databasebeta

← Group #169463

Character table — Group #169463

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444424444444444444444488888888888824
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-11-1-1-1-1-11-1-11-11111-1-1-1-11111-1-1
χ411111111111111111111111-1-11-1-1-1-1-11-1-11-1-1-1-1-11111-1-1-1-111
χ51111111111111111111-1-1-1-111111-11-1-11-1-1-11111-1-1-1-1-1-1-1-111
χ61111111111111111111-1-1-1-111111-11-1-11-1-1-1-1-1-1-111111111-1-1
χ71111111111111111111-1-1-1-1-1-11-1-11-11-1-11-1111111111-1-1-1-1-1-1
χ81111111111111111111-1-1-1-1-1-11-1-11-11-1-11-11-1-1-1-1-1-1-1-1111111
χ911111111-1-11-1-111111-111-1-111-1-1-111-11-11-1-111-1-111-1-111-1-11-1
χ1011111111-1-11-1-111111-111-1-111-1-1-111-11-11-1-1-1-111-1-111-1-111-11
χ1111111111-1-11-1-111111-111-1-1-1-1-111-1-1111-1-1111-1-1-1-11111-1-1-11
χ1211111111-1-11-1-111111-111-1-1-1-1-111-1-1111-1-11-1-11111-1-1-1-1111-1
χ1311111111-1-11-1-111111-1-1-11111-1-1-1-111-1-1-11111-1-1-1-111-1-1111-1
χ1411111111-1-11-1-111111-1-1-11111-1-1-1-111-1-1-111-1-11111-1-111-1-1-11
χ1511111111-1-11-1-111111-1-1-111-1-1-1111-1-1-1111-111-1-111-1-1-1-111-11
χ1611111111-1-11-1-111111-1-1-111-1-1-1111-1-1-1111-1-1-111-1-11111-1-11-1
χ1722222222222-2-2-2-2-2-22-200000020020200-20-200000000000000
χ1822222222222-2-2-2-2-2-22-2000000200-20-20020200000000000000
χ192222222222-222-2-222-2-2000022-2220-200-200000000000000000
χ202222222222-222-2-222-2-20000-2-2-2-2-20200200000000000000000
χ212222222222-2-2-222-2-2-22222200-200000-200-2000000000000000
χ222222222222-2-2-222-2-2-22-2-2-2-200-2000002002000000000000000
χ2322222222-2-2222-2-2-2-222000000-20020-200-20200000000000000
χ2422222222-2-2222-2-2-2-222000000-200-2020020-200000000000000
χ2522222222-2-2-22222-2-2-2-222-2-200200000-2002000000000000000
χ2622222222-2-2-22222-2-2-2-2-2-22200200000200-2000000000000000
χ2722222222-2-2-2-2-2-2-222-220000222-2-20-200200000000000000000
χ2822222222-2-2-2-2-2-2-222-220000-2-22220200-200000000000000000
χ292-222-2-22-22i−2i02i−2i002-20000002-202i−2i0000000000002−2i2−i22−2i2−i200
χ302-222-2-22-22i−2i02i−2i002-20000002-202i−2i000000000000−22−i2i2−22−i2i200
χ312-222-2-22-22i−2i02i−2i002-2000000-220−2i2i0000000000002−2i2−i2−22−i2i200
χ322-222-2-22-22i−2i02i−2i002-2000000-220−2i2i000000000000−22−i2i22−2i2−i200
χ332-222-2-22-2−2i2i0−2i2i002-20000002-20−2i2i0000000000002−2−i2i22−2−i2i200
χ342-222-2-22-2−2i2i0−2i2i002-20000002-20−2i2i000000000000−22i2−i2−22i2−i200
χ352-222-2-22-2−2i2i0−2i2i002-2000000-2202i−2i0000000000002−2−i2i2−22i2−i200
χ362-222-2-22-2−2i2i0−2i2i002-2000000-2202i−2i000000000000−22i2−i22−2−i2i200
χ37444-44-4-4-4000004-40000004-4000000000000000000000000000
χ38444-44-4-4-4000004-4000000-44000000000000000000000000000
χ39444-44-4-4-400000-4400004-400000000000000000000000000000
χ40444-44-4-4-400000-440000-4400000000000000000000000000000
χ4144-44-44-4-4004000000-400000000000000000022−22000000000000
χ4244-44-44-4-4004000000-4000000000000000000−2222000000000000
χ4344-44-44-4-400-40000004000000000000000000002i2−2i20000000000
χ4444-44-44-4-400-4000000400000000000000000000−2i22i20000000000
χ454-444-4-44-44i−4i0−4i4i00-44000000000000000000000000000000000
χ464-444-4-44-4−4i4i04i−4i00-44000000000000000000000000000000000
χ4788-8-8-8-888000000000000000000000000000000000000000000
χ488-88-8-88-88000000000000000000000000000000000000000000
χ498-8-888-8-88000000000000000000000000000000000000000000
χ508-8-8-8888-8000000000000000000000000000000000000000000

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