Finite Group Databasebeta

← Group #341031

Character table — Group #341031

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882244444488888888888888444444888888244
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111111111111111-11-1-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111-1-1111111-1-1-1-11111-1-1-1-11-111-1-1-1-1-1-1-1-11-11
χ4111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-11-1
χ51111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-11-1
χ61111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111-11
χ71111111111111111111111-1-1-1-111-1-1111111-1-1-1-111111-111-1-11111-1-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-11
χ10111111111111111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-111-11-1-111-1-1-1-111-1
χ11111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-111-1-111-111
χ12111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1111-1-111111-1-1
χ13111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-11111-1-1-1-11-1-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-11-1-1-1-111-1-1-111
χ15111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11-1-1-1-1-1111111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111111-1-111-1-11
χ17222222222-2-22-222-2-2-20000222200-2-20022-2-2000000000-20000000000000
χ18222222222-2-22-222-2-2-2000022-2-200-2-200-2-22200000000020000000000000
χ19222222222-2-22-222-2-2-20000-2-222002200-2-222000000000-20000000000000
χ20222222222-2-22-222-2-2-20000-2-2-2-200220022-2-200000000020000000000000
χ2122222222-222-22-2-22-2-2222200002200-2-200000000000020-2-200000000000
χ2222222222-222-22-2-22-2-222220000-2-200-2-2000000000000-202200000000000
χ2322222222-222-22-2-22-2-2-2-2-2-20000220022000000000000-20-2200000000000
χ2422222222-222-22-2-22-2-2-2-2-2-20000-2-20022000000000000202-200000000000
χ2522-22-2-22-2200-20-22000i2i2−i2−i2002i−2i002i−2ii2−i2002-222−2−2i2i2−i2−i200000000002−2000
χ2622-22-2-22-2200-20-22000i2i2−i2−i2002i−2i00−2i2ii2−i200-22−2−222−i2−i2i2i200000000002−2000
χ2722-22-2-22-2200-20-22000i2i2−i2−i200−2i2i002i−2ii2−i200-2222−2−2−i2−i2i2i20000000000−22000
χ2822-22-2-22-2200-20-22000i2i2−i2−i200−2i2i00−2i2ii2−i2002-2−2−222i2i2−i2−i20000000000−22000
χ2922-22-2-22-2200-20-22000−i2−i2i2i2002i−2i002i−2i−i2i2002-2−2−222−i2−i2i2i20000000000−22000
χ3022-22-2-22-2200-20-22000−i2−i2i2i2002i−2i00−2i2i−i2i200-2222−2−2i2i2−i2−i20000000000−22000
χ3122-22-2-22-2200-20-22000−i2−i2i2i200−2i2i002i−2i−i2i200-22−2−222i2i2−i2−i200000000002−2000
χ3222-22-2-22-2200-20-22000−i2−i2i2i200−2i2i00−2i2i−i2i2002-222−2−2−i2−i2i2i200000000002−2000
χ3322-2-2-22-22-2222-2-22-2-220000000000000000002i−2i2i−2i000000002-22i−2i0000000
χ3422-2-2-22-22-2222-2-22-2-220000000000000000002i−2i2i−2i00000000-22−2i2i0000000
χ3522-2-2-22-22-2222-2-22-2-22000000000000000000−2i2i−2i2i000000002-2−2i2i0000000
χ3622-2-2-22-22-2222-2-22-2-22000000000000000000−2i2i−2i2i00000000-222i−2i0000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-44-4-4-440040-4-400000004-400000000000000000000000000000000000
χ39444-44-4-4-440040-4-40000000-4400000000000000000000000000000000000
χ40444-44-4-4-4-400-40440000000000000000000002i2−2i2−2i22i20000000000000000000
χ41444-44-4-4-4-400-4044000000000000000000000−2i22i22i2−2i20000000000000000000
χ4244-44-4-44-4-400404-40002i22i2−2i2−2i200000000−2i22i2000000000000000000000000000
χ4344-44-4-44-4-400404-4000−2i2−2i22i22i2000000002i2−2i2000000000000000000000000000
χ4444-4-4-44-44444-4-44-4-44-400000000000000000000000000000000000000000
χ4544-4-4-44-444-4-4-444-44-4400000000000000000000000000000000000000000
χ4644-4-4-44-44-4-4-444-4444-400000000000000000000000000000000000000000
χ474-444-44-4-400000000002i2−2i22i2−2i200000000002i2−2i20000002-22-2000000000000000
χ484-444-44-4-400000000002i2−2i22i2−2i20000000000−2i22i2000000-22-22000000000000000
χ494-444-44-4-40000000000−2i22i2−2i22i200000000002i2−2i2000000-22-22000000000000000
χ504-444-44-4-40000000000−2i22i2−2i22i20000000000−2i22i20000002-22-2000000000000000
χ514-44-4-4-44404-40400-40000000000000000000000000000000000002i2−2i200000
χ524-44-4-4-44404-40400-4000000000000000000000000000000000000−2i22i200000
χ534-44-4-4-4440-440-400400000000004-40000000000000000000000000000000
χ544-44-4-4-4440-440-40040000000000-440000000000000000000000000000000
χ554-4-444-4-4404-40-4004004-4-440000000000000000000000000000000000000
χ564-4-444-4-4404-40-400400-444-40000000000000000000000000000000000000
χ574-4-444-4-440-440400-40000000000000000000000002i2−2i2−2i22i2000000000000000
χ584-4-444-4-440-440400-4000000000000000000000000−2i22i22i2−2i2000000000000000
χ598-8-8-8888-8000000000000000000000000000000000000000000000000000

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