Finite Group Databasebeta

← Group #464236

Character table — Group #464236

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222222244448888888888888888881616161616161616161616161616161616161616
order12222222222244444444888844444444888888888822244444444444888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111
χ31111111111111111111111111111-1-1-1-111-1-1-1-11111-111-1-1-1-1-1111111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-11111-1-1-1-1-1-1-11111-1-1
χ5111111111111111111111111-1-1-1-11111111111-1-1-1-1-111-1-1-1-1-111-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-11111111111
χ911111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11-111-1-1-11-111-1-111-1-111
χ1011111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11-1-111-1-11111
χ1111111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-11111-111-1-1-1-111-1-1
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-1111-1-11-11-1-11111-1-1-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-11111-1-1-11111-1-1-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-1111-1-11-1111-1-1-1-111-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-111-1-1-11-1-1-111-1-11111
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-111-1-1111-1-111-1-111
χ1722222222-2-2-2-222-22-2-2-22222200000000-2-20000000002200000-2-20000000000
χ1822222222-2-2-2-222-22-2-2-22222200000000-2-2000000000-2-200000220000000000
χ1922222222-2-2-2-222-22-2-2-22-2-2-2-200000000220000000002-200000-220000000000
χ2022222222-2-2-2-222-22-2-2-22-2-2-2-20000000022000000000-22000002-20000000000
χ2122222222-2-2-2-2-2-22-2222-2000022-2-200000022-2-200002000000-2000000000000
χ2222222222-2-2-2-2-2-22-2222-2000022-2-2000000-2-2220000-20000002000000000000
χ2322222222-2-2-2-2-2-22-2222-20000-2-22200000022-2-20000-20000002000000000000
χ2422222222-2-2-2-2-2-22-2222-20000-2-222000000-2-22200002000000-2000000000000
χ2522-2-2-22-222-2-222-2-2-222-2200000000000000000022-2-2000002-200000002-20000
χ2622-2-2-22-222-2-222-2-2-222-2200000000000000000022-2-200000-220000000-220000
χ2722-2-2-22-222-2-222-2-2-222-22000000000000000000-2-222000002-20000000-220000
χ2822-2-2-22-222-2-222-2-2-222-22000000000000000000-2-22200000-2200000002-20000
χ292-22-2-2-222-22-22-22-2-22-2220000000000000000002-22-20002-2000000000002-200
χ302-22-2-2-222-22-22-22-2-22-2220000000000000000002-22-2000-2200000000000-2200
χ312-22-2-2-222-22-22-22-2-22-222000000000000000000-22-220002-200000000000-2200
χ322-22-2-2-222-22-22-22-2-22-222000000000000000000-22-22000-22000000000002-200
χ332-2-222-2-2222-2-2222-22-2-2-200002-22-22i2i−2i−2i00000000000000000000000000002i−2i
χ342-2-222-2-2222-2-2222-22-2-2-200002-22-2−2i−2i2i2i0000000000000000000000000000−2i2i
χ352-2-222-2-2222-2-2222-22-2-2-20000-22-222i2i−2i−2i0000000000000000000000000000−2i2i
χ362-2-222-2-2222-2-2222-22-2-2-20000-22-22−2i−2i2i2i00000000000000000000000000002i−2i
χ372-2-222-2-2222-2-2-2-2-22-222222-2-2000000002-20000000000000000002-22-2000000
χ382-2-222-2-2222-2-2-2-2-22-222222-2-2000000002-2000000000000000000-22-22000000
χ392-2-222-2-2222-2-2-2-2-22-2222-2-22200000000-220000000000000000002-2-22000000
χ402-2-222-2-2222-2-2-2-2-22-2222-2-22200000000-22000000000000000000-222-2000000
χ412-2-222-2-22-2-222-2-2222-2-2222-2-22-2-220000-2200002-2-2200000000000000000000
χ422-2-222-2-22-2-222-2-2222-2-2222-2-2-222-20000-220000-222-200000000000000000000
χ432-2-222-2-22-2-222-2-2222-2-22-2-2222-2-2200002-20000-222-200000000000000000000
χ442-2-222-2-22-2-222-2-2222-2-22-2-222-222-200002-200002-2-2200000000000000000000
χ45444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000
χ464444-4-4-4-400000000000022−2222−2200002-22-20022−2200000000000000000000000000
χ474444-4-4-4-400000000000022−2222−220000-22-2200−222200000000000000000000000000
χ484444-4-4-4-4000000000000−2222−222200002-22-200−222200000000000000000000000000
χ494444-4-4-4-4000000000000−2222−22220000-22-220022−2200000000000000000000000000
χ5044-4-4-44-444-4-44-4444-4-44-4000000000000000000000000000000000000000000
χ5144-4-4-44-44-444-44-44-4-4-444000000000000000000000000000000000000000000
χ5244-4-4-44-44-444-4-44-4444-4-4000000000000000000000000000000000000000000
χ534-44-4-4-4444-44-44-4-444-44-4000000000000000000000000000000000000000000
χ544-44-4-4-4444-44-4-444-4-44-44000000000000000000000000000000000000000000
χ554-44-4-4-444-44-444-444-44-4-4000000000000000000000000000000000000000000
χ564-4-444-4-44-4-44444-4-4-444-4000000000000000000000000000000000000000000
χ574-4-44-444-400000000000022−22−222200002i−2i−2i2i00002i2−2i2000000000000000000000000
χ584-4-44-444-400000000000022−22−22220000−2i2i2i−2i0000−2i22i2000000000000000000000000
χ594-4-44-444-4000000000000−222222−2200002i−2i−2i2i0000−2i22i2000000000000000000000000
χ604-4-44-444-4000000000000−222222−220000−2i2i2i−2i00002i2−2i2000000000000000000000000
χ6188-8-88-88-8000000000000000000000000000000000000000000000000000000
χ628-88-888-8-8000000000000000000000000000000000000000000000000000000

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