Finite Group Databasebeta

← Group #336081

Character table — Group #336081

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888224444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1
χ3111111111111111111111111-1-11111-1-1111111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-11-11
χ4111111111111111111111111-1-1-1-1-1-11111-1-1-1-11111111-111-1-1-1-11111-1-1-1
χ51111111111111111111111-1-111111111111111111111-11-1-1-1-111-1-1-1-1-1-1-1
χ61111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111-11
χ71111111111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111-11-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-111-111-1-111-1-11-1-1
χ10111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-111-111-1-1-1-111-1-11
χ11111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-111-1-11111-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11-1-1-11111-1-1-111
χ13111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-11-1-1-1-1-1-111-111
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111-11-1-1-1-111-1-111-1
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-11111111-1-1-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11-1-111111-1-1111-1-1
χ17222222222-2-22-222-2-2-222222200000000-2-20000000000-20-2200000000000
χ18222222222-2-22-222-2-2-22222-2-200000000-2-20000000000202-200000000000
χ19222222222-2-22-222-2-2-2-2-2-2-2220000000022000000000020-2-200000000000
χ20222222222-2-22-222-2-2-2-2-2-2-2-2-200000000220000000000-202200000000000
χ2122222222-222-22-2-22-2-20000002222-2-222000000-2-200000-20000000000000
χ2222222222-222-22-2-22-2-200000022-2-222-2-20000002200000-20000000000000
χ2322222222-222-22-2-22-2-2000000-2-222-2-2-2-2000000220000020000000000000
χ2422222222-222-22-2-22-2-2000000-2-2-2-22222000000-2-20000020000000000000
χ252-222-22-2-202-20-20020022−2−2002i−2i002i−2i002−2i2i2−i2−i22-222−2−2000000i2−i20000000
χ262-222-22-2-202-20-20020022−2−2002i−2i00−2i2i002−2−i2−i2i2i2-22−2−222000000i2−i20000000
χ272-222-22-2-202-20-20020022−2−200−2i2i002i−2i002−2i2i2−i2−i2-22−2−222000000−i2i20000000
χ282-222-22-2-202-20-20020022−2−200−2i2i00−2i2i002−2−i2−i2i2i22-222−2−2000000−i2i20000000
χ292-222-22-2-202-20-200200−2−222002i−2i002i−2i00−22−i2−i2i2i22-2−2−222000000−i2i20000000
χ302-222-22-2-202-20-200200−2−222002i−2i00−2i2i00−22i2i2−i2−i2-2222−2−2000000−i2i20000000
χ312-222-22-2-202-20-200200−2−22200−2i2i002i−2i00−22−i2−i2i2i2-2222−2−2000000i2−i20000000
χ322-222-22-2-202-20-200200−2−22200−2i2i00−2i2i00−22i2i2−i2−i22-2−2−222000000i2−i20000000
χ332-2-2-2222-2-2222-2-22-2-2200000000000000002-22-200000000002i−2i00002i−2i000
χ342-2-2-2222-2-2222-2-22-2-2200000000000000002-22-20000000000−2i2i0000−2i2i000
χ352-2-2-2222-2-2222-2-22-2-220000000000000000-22-2200000000002i−2i0000−2i2i000
χ362-2-2-2222-2-2222-2-22-2-220000000000000000-22-220000000000−2i2i00002i−2i000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-44-4-4-4400-40-44000000000000000000000000022−2222−22000000000000000
χ39444-44-4-4-4400-40-440000000000000000000000000−2222−2222000000000000000
χ40444-44-4-4-4-400404-40004-44-40000000000000000000000000000000000000
χ41444-44-4-4-4-400404-4000-44-440000000000000000000000000000000000000
χ4244-4-4-44-4404-40400-40000000000000000002i2−2i2−2i22i2000000000000000000000
χ4344-4-4-44-4404-40400-4000000000000000000−2i22i22i2−2i2000000000000000000000
χ4444-4-4-44-440-440-400400000000004-40000000000000000000000000000000
χ4544-4-4-44-440-440-40040000000000-440000000000000000000000000000000
χ464-444-44-4-40-440400-4002222−22−220000000000−22220000000000000000000000000
χ474-444-44-4-40-440400-400−22−222222000000000022−220000000000000000000000000
χ484-44-4-4-444000000000022−22−22220000000022−22000000002-2-22000000000000000
χ494-44-4-4-444000000000022−22−222200000000−222200000000-222-2000000000000000
χ504-44-4-4-4440000000000−222222−220000000022−2200000000-222-2000000000000000
χ514-44-4-4-4440000000000−222222−2200000000−2222000000002-2-22000000000000000
χ524-4-444-4-4440040-4-400000000000000000000000000000000000002i2−2i200000
χ534-4-444-4-4440040-4-40000000000000000000000000000000000000−2i22i200000
χ544-4-444-4-44-400-404400000004-400000000000000000000000000000000000
χ554-4-444-4-44-400-40440000000-4400000000000000000000000000000000000
χ564-4-4-4444-4444-4-44-4-44-400000000000000000000000000000000000000000
χ574-4-4-4444-44-4-4-444-44-4400000000000000000000000000000000000000000
χ584-4-4-4444-4-4-4-444-4444-400000000000000000000000000000000000000000
χ5988-88-8-88-8000000000000000000000000000000000000000000000000000

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