Finite Group Databasebeta

← Group #332634

Character table — Group #332634

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222444488888888888888881616161616161616161616161616161616163232
order12222244444444444444448888888824444444448888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-11-1-1-11-1-1-1-1-1-11111-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1111111111-1-1-1-1-1-1
χ51111111111111111-1-111-1-1111111111-1-1-11-1-1-11111-1-1-1-1-1-11-1
χ61111111111111111-1-111-1-111111111-111-1-111-1-1-1-1-111-1-1-1-1-11
χ71111111111111111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-1-1-11111111-1
χ81111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-11111-11
χ911111111111111-1-111-1-1-1-11111-1-1-1-11111111-1-1-111-1-111-1-1-1-1
χ1011111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-111-1-11111-1-111
χ1111111111111111-1-111-1-1-1-1-1-1-1-1111111111-1-1-111-1-111-1-111-1-1
χ1211111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-11-111-1-1-111-1-1-1-11111
χ1311111111111111-1-1-1-1-1-1111111-1-1-1-11-1-1-11-1-11-1-11111-1-111-11
χ1411111111111111-1-1-1-1-1-1111111-1-1-1-1-111-1-111111-1-1-1-1-1-1111-1
χ1511111111111111-1-1-1-1-1-111-1-1-1-111111-1-1-1111111-1-1-1-111-1-1-11
χ1611111111111111-1-1-1-1-1-111-1-1-1-11111-111-1-1-1-11-1-1111111-1-11-1
χ172222222222-2-2-2-22222-2-22200000000000-2000-2000000000000
χ182222222222-2-2-2-222-2-2-2-2-2-20000000000020002000000000000
χ192222222222-2-2-2-2-2-22222-2-200000000000-20002000000000000
χ202222222222-2-2-2-2-2-2-2-22222000000000002000-2000000000000
χ212222-2-222-2-222-2-20000000000002i2i−2i−2i2000-20002i−2i0000000000
χ222222-2-222-2-222-2-20000000000002i2i−2i−2i-20002000−2i2i0000000000
χ232222-2-222-2-222-2-2000000000000−2i−2i2i2i2000-2000−2i2i0000000000
χ242222-2-222-2-222-2-2000000000000−2i−2i2i2i-200020002i−2i0000000000
χ252222-2-2-2-222-22-220000000022-2-2000002-2002-20000000000000
χ262222-2-2-2-222-22-220000000022-2-200000-2200-220000000000000
χ272222-2-2-2-222-22-2200000000-2-222000002-200-220000000000000
χ282222-2-2-2-222-22-2200000000-2-22200000-22002-20000000000000
χ292-2-22-222-22-200002i−2i2i−2i002-2i2−i2i2−i22−22−2000000000000002−2i2−i200
χ302-2-22-222-22-200002i−2i2i−2i002-2−i2i2−i2i2−22−2200000000000000−22−i2i200
χ312-2-22-222-22-200002i−2i−2i2i00-22i2−i2i2−i22−22−200000000000000−22−i2i200
χ322-2-22-222-22-200002i−2i−2i2i00-22−i2i2−i2i2−22−22000000000000002−2i2−i200
χ332-2-22-222-22-20000−2i2i2i−2i00-22i2−i2i2−i2−22−22000000000000002−2−i2i200
χ342-2-22-222-22-20000−2i2i2i−2i00-22−i2i2−i2i22−22−200000000000000−22i2−i200
χ352-2-22-222-22-20000−2i2i−2i2i002-2i2−i2i2−i2−22−2200000000000000−22i2−i200
χ362-2-22-222-22-20000−2i2i−2i2i002-2−i2i2−i2i22−22−2000000000000002−2−i2i200
χ37444444-4-4-4-44-4-44000000000000000000000000000000000000
χ38444444-4-4-4-4-444-4000000000000000000000000000000000000
χ394444-4-444-4-4-4-444000000000000000000000000000000000000
χ404444-4-4-4-4444-44-4000000000000000000000000000000000000
χ414-4-444-44-4-4400000000000000002i2−2i2−2i22i200000000000000000000
χ424-4-444-44-4-440000000000000000−2i22i22i2−2i200000000000000000000
χ434-4-444-4-444-40000000000002i2−2i2−2i22i2000000000000000000000000
χ444-4-444-4-444-4000000000000−2i22i22i2−2i2000000000000000000000000
χ454-4-44-44-44-44000000004-4000000000000000000000000000000
χ464-4-44-44-44-4400000000-44000000000000000000000000000000
χ4788-8-80000000000000000000000000000000000000022−22000000
χ4888-8-800000000000000000000000000000000000000−2222000000
χ498-88-800000000000000000000000000000000000022−2200000000
χ508-88-8000000000000000000000000000000000000−222200000000

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