Finite Group Databasebeta

← Group #340272

Character table — Group #340272

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882244444488888888888888244444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111111111111111-1-1-11-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11
χ51111111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11
χ61111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1
χ71111111111111111111111-1-1-1-111-1-11111-1-1-1-1111111111-1-1-1-1-11111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-11-1111-1-111-1-1-11-1
χ10111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11-111-1-1-1-1-1-1111-11
χ11111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-111-1-111-111
χ12111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-11-1111111-1-11-1-1
χ13111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-11-1111-1-1-1-1111-1-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111-111-1-1-1-111-1-1-111
χ15111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-11-1-1-1-11111-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11-11-11111-1-111-11-1
χ172222222222-2-22-2-22-2-20000222200-2-222000000-2-20000000-200000000000
χ182222222222-2-22-2-22-2-2000022-2-200-2-2-2-2000000220000000200000000000
χ192222222222-2-22-2-22-2-20000-2-2220022-2-2000000220000000-200000000000
χ202222222222-2-22-2-22-2-20000-2-2-2-2002222000000-2-20000000200000000000
χ2122222222-2-222-222-2-2-222220000220000-2-20000000000-2-22000000000000
χ2222222222-2-222-222-2-2-222220000-2-20000-2-2000000000022-2000000000000
χ2322222222-2-222-222-2-2-2-2-2-2-200002200002200000000002-2-2000000000000
χ2422222222-2-222-222-2-2-2-2-2-2-20000-2-20000220000000000-222000000000000
χ2522-2-22-2-22-2-2-2-222222-2000000000000000022-2-200000000002-200002-2000
χ2622-2-22-2-22-2-2-2-222222-2000000000000000022-2-20000000000-220000-22000
χ2722-2-22-2-22-2-2-2-222222-20000000000000000-2-22200000000002-20000-22000
χ2822-2-22-2-22-2-2-2-222222-20000000000000000-2-2220000000000-2200002-2000
χ292-22-222-2-22-200-20020022−2−2002i−2i002i−2i002−2i2−i2i2−i22-222−2−2000000i2−i20000000
χ302-22-222-2-22-200-20020022−2−2002i−2i00−2i2i002−2−i2i2−i2i2-22−2−222000000i2−i20000000
χ312-22-222-2-22-200-20020022−2−200−2i2i002i−2i002−2i2−i2i2−i2-22−2−222000000−i2i20000000
χ322-22-222-2-22-200-20020022−2−200−2i2i00−2i2i002−2−i2i2−i2i22-222−2−2000000−i2i20000000
χ332-22-222-2-22-200-200200−2−222002i−2i002i−2i00−22−i2i2−i2i22-2−2−222000000−i2i20000000
χ342-22-222-2-22-200-200200−2−222002i−2i00−2i2i00−22i2−i2i2−i2-2222−2−2000000−i2i20000000
χ352-22-222-2-22-200-200200−2−22200−2i2i002i−2i00−22−i2i2−i2i2-2222−2−2000000i2−i20000000
χ362-22-222-2-22-200-200200−2−22200−2i2i00−2i2i00−22i2−i2i2−i22-2−2−222000000i2−i20000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ384444-4-4-4-4000000000022−2222−220000000022−22000000002-22-2000000000000000
χ394444-4-4-4-4000000000022−2222−2200000000−222200000000-22-22000000000000000
χ404444-4-4-4-40000000000−2222−22220000000022−2200000000-22-22000000000000000
χ414444-4-4-4-40000000000−2222−222200000000−2222000000002-22-2000000000000000
χ4244-4-44-4-444444-4-4-4-44-400000000000000000000000000000000000000000
χ4344-4-44-4-4444-4-4-444-4-4400000000000000000000000000000000000000000
χ4444-4-44-4-44-4-4444-4-44-4400000000000000000000000000000000000000000
χ454-44-444-4-4-4400400-4002222−22−220000000000−22220000000000000000000000000
χ464-44-444-4-4-4400400-400−22−222222000000000022−220000000000000000000000000
χ474-44-4-4-444004-404-4000000000000000000000000022−22−2222000000000000000
χ484-44-4-4-444004-404-40000000000000000000000000−222222−22000000000000000
χ494-44-4-4-44400-440-440004-4-440000000000000000000000000000000000000
χ504-44-4-4-44400-440-44000-444-40000000000000000000000000000000000000
χ514-4-444-44-44-400400-40000004-400000000000000000000000000000000000
χ524-4-444-44-44-400400-4000000-4400000000000000000000000000000000000
χ534-4-444-44-4-4400-40040000000000000000002i2−2i2−2i22i2000000000000000000000
χ544-4-444-44-4-4400-4004000000000000000000−2i22i22i2−2i2000000000000000000000
χ554-4-44-44-44004-40-44000000000000000000000000000000000000022−2200000
χ564-4-44-44-44004-40-440000000000000000000000000000000000000−222200000
χ574-4-44-44-4400-4404-4000000000004-40000000000000000000000000000000
χ584-4-44-44-4400-4404-400000000000-440000000000000000000000000000000
χ5988-8-8-888-8000000000000000000000000000000000000000000000000000

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