Finite Group Databasebeta

← Group #337336

Character table — Group #337336

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882244444488888888888888444444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-1-111-1
χ311111111111111111111111111-1-11111111111111111-1-1-11-1-111-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-11
χ51111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11
χ61111111111111111111111-1-1-1-111-1-1111111-1-1-1-11111111-1-1-1-1-11111-1-1-1
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-11-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-111-1-111-111
χ11111111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1111-11
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1111111-1-11-1-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-11-1111-1-1-1-1111-1-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-11-1-1-1-11111-1-11-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-111-1-1-1-111-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-11-11111-1-111-11-1
χ17222222222-2-222-2-22-2-2000022-2-2002222-2-20000000000000-200000000000
χ18222222222-2-222-2-22-2-2000022-2-200-2-2-2-2220000000000000200000000000
χ19222222222-2-222-2-22-2-20000-2-2220022-2-2220000000000000-200000000000
χ20222222222-2-222-2-22-2-20000-2-22200-2-222-2-20000000000000200000000000
χ2122222222-222-2-222-2-2-22222000022000000-2-2000000002-2-2000000000000
χ2222222222-222-2-222-2-2-222220000-2-2000000-2-200000000-222000000000000
χ2322222222-222-2-222-2-2-2-2-2-2-20000220000002200000000-2-22000000000000
χ2422222222-222-2-222-2-2-2-2-2-2-20000-2-2000000220000000022-2000000000000
χ25222-2-2-2-22-2002-20020022−2−22-200002i−2i2i−2i002−222−2−2i2i2−i2−i2000000i2−i20000000
χ26222-2-2-2-22-2002-20020022−2−22-20000−2i2i−2i2i002−222−2−2−i2−i2i2i2000000−i2i20000000
χ27222-2-2-2-22-2002-20020022−2−2-2200002i−2i−2i2i002−2−2−222−i2−i2i2i2000000i2−i20000000
χ28222-2-2-2-22-2002-20020022−2−2-220000−2i2i2i−2i002−2−2−222i2i2−i2−i2000000−i2i20000000
χ29222-2-2-2-22-2002-200200−2−2222-200002i−2i2i−2i00−22−2−222−i2−i2i2i2000000−i2i20000000
χ30222-2-2-2-22-2002-200200−2−2222-20000−2i2i−2i2i00−22−2−222i2i2−i2−i2000000i2−i20000000
χ31222-2-2-2-22-2002-200200−2−222-2200002i−2i−2i2i00−2222−2−2i2i2−i2−i2000000−i2i20000000
χ32222-2-2-2-22-2002-200200−2−222-220000−2i2i2i−2i00−2222−2−2−i2−i2i2i2000000i2−i20000000
χ332-22-222-2-2-2-2-22222-22-20000000000000000002-22-2000000002i−2i00002i−2i000
χ342-22-222-2-2-2-2-22222-22-20000000000000000002-22-200000000−2i2i0000−2i2i000
χ352-22-222-2-2-2-2-22222-22-2000000000000000000-22-22000000002i−2i0000−2i2i000
χ362-22-222-2-2-2-2-22222-22-2000000000000000000-22-2200000000−2i2i00002i−2i000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-4-4-44400-4400-4002222−22−22000000000000−222200000000000000000000000
χ39444-4-4-4-44400-4400-400−22−22222200000000000022−2200000000000000000000000
χ4044-444-4-4-404-4004-4000000000000000000000000022−2222−22000000000000000
χ4144-444-4-4-404-4004-40000000000000000000000000−2222−2222000000000000000
χ4244-444-4-4-40-4400-440004-44-40000000000000000000000000000000000000
χ4344-444-4-4-40-4400-44000-44-440000000000000000000000000000000000000
χ4444-4-4-444-4000000000022−22−222200000000002i2−2i20000002i−2i−2i2i000000000000000
χ4544-4-4-444-4000000000022−22−22220000000000−2i22i2000000−2i2i2i−2i000000000000000
χ4644-4-4-444-40000000000−222222−2200000000002i2−2i2000000−2i2i2i−2i000000000000000
χ4744-4-4-444-40000000000−222222−220000000000−2i22i20000002i−2i−2i2i000000000000000
χ484-444-4-44-44004-400-40000000000000000000022−22−22220000000000000000000
χ494-444-4-44-44004-400-400000000000000000000−222222−220000000000000000000
χ504-444-4-44-4-400-44004000000004i−4i000000000000000000000000000000000
χ514-444-4-44-4-400-4400400000000−4i4i000000000000000000000000000000000
χ524-44-444-4-4444-4-4-4-444-400000000000000000000000000000000000000000
χ534-44-444-4-44-4-4-4-4444-4400000000000000000000000000000000000000000
χ544-44-444-4-4-44444-4-4-4-4400000000000000000000000000000000000000000
χ554-4-4-44-44404-400-44000000000000000000000000000000000000022−2200000
χ564-4-4-44-44404-400-440000000000000000000000000000000000000−222200000
χ574-4-4-44-4440-44004-4000000000004-40000000000000000000000000000000
χ584-4-4-44-4440-44004-400000000000-440000000000000000000000000000000
χ598-8-88-88-88000000000000000000000000000000000000000000000000000

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