Finite Group Databasebeta

← Group #336144

Character table — Group #336144

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882244444488888888888888244444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111111111111111-1-1-11-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111-1-1111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11
χ51111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11
χ61111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1
χ71111111111111111111111-1-1-1-1-1-111111111-1-1-1-11111111-1-1-11111-1-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-11-111111-1-1-1-11-1-1
χ10111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-1-1-111-1-1-111
χ11111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-111111-11
χ12111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-11-11111-1-111-11-1
χ13111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-11-1111-1-111-1-1-11-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-111-1-111-1-1-1-11-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-11-1-1-1-111-1-111-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11-111-1-111111-1-1
χ17222222222-2-22-222-2-2-200002222-2-2000022-2-200000000000-200000000000
χ18222222222-2-22-222-2-2-2000022-2-2-2-20000-2-22200000000000200000000000
χ19222222222-2-22-222-2-2-20000-2-222220000-2-22200000000000-200000000000
χ20222222222-2-22-222-2-2-20000-2-2-2-222000022-2-200000000000200000000000
χ2122222222-222-22-2-22-2-2222200000022-2-20000000000002-2-2000000000000
χ2222222222-222-22-2-22-2-22222000000-2-2-2-2000000000000-222000000000000
χ2322222222-222-22-2-22-2-2-2-2-2-20000002222000000000000-2-22000000000000
χ2422222222-222-22-2-22-2-2-2-2-2-2000000-2-22200000000000022-2000000000000
χ252-222-2-2-22-2222-2-22-2-220000000000000000002i2i−2i−2i000000002i−2i002-200000
χ262-222-2-2-22-2222-2-22-2-220000000000000000002i2i−2i−2i00000000−2i2i00-2200000
χ272-222-2-2-22-2222-2-22-2-22000000000000000000−2i−2i2i2i000000002i−2i00-2200000
χ282-222-2-2-22-2222-2-22-2-22000000000000000000−2i−2i2i2i00000000−2i2i002-200000
χ292-22-22-22-2200-20-22000i2i2−i2−i2002i−2i2i−2i00i2−i2002-22−22−2i2i2−i2−i200000000002−2000
χ302-22-22-22-2200-20-22000i2i2−i2−i2002i−2i−2i2i00i2−i200-22−22−22−i2−i2i2i200000000002−2000
χ312-22-22-22-2200-20-22000i2i2−i2−i200−2i2i2i−2i00i2−i200-222−22−2−i2−i2i2i20000000000−22000
χ322-22-22-22-2200-20-22000i2i2−i2−i200−2i2i−2i2i00i2−i2002-2−22−22i2i2−i2−i20000000000−22000
χ332-22-22-22-2200-20-22000−i2−i2i2i2002i−2i2i−2i00−i2i2002-2−22−22−i2−i2i2i20000000000−22000
χ342-22-22-22-2200-20-22000−i2−i2i2i2002i−2i−2i2i00−i2i200-222−22−2i2i2−i2−i20000000000−22000
χ352-22-22-22-2200-20-22000−i2−i2i2i200−2i2i2i−2i00−i2i200-22−22−22i2i2−i2−i200000000002−2000
χ362-22-22-22-2200-20-22000−i2−i2i2i200−2i2i−2i2i00−i2i2002-22−22−2−i2−i2i2i200000000002−2000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-44-4-440040-4-400000004-400000000000000000000000000000000000
χ39444-4-44-4-440040-4-40000000-4400000000000000000000000000000000000
χ40444-4-44-4-4-400-40440000000000000000000002i2−2i2−2i22i20000000000000000000
χ41444-4-44-4-4-400-4044000000000000000000000−2i22i22i2−2i20000000000000000000
χ4244-4-4-4-44404-40400-40000000000000000000000002i2−2i22i2−2i2000000000000000
χ4344-4-4-4-44404-40400-4000000000000000000000000−2i22i2−2i22i2000000000000000
χ4444-4-4-4-4440-440-4004004-44-40000000000000000000000000000000000000
χ4544-4-4-4-4440-440-400400-44-440000000000000000000000000000000000000
χ464-444-4-4-44444-4-44-4-44-400000000000000000000000000000000000000000
χ474-444-4-4-444-4-4-444-44-4400000000000000000000000000000000000000000
χ484-444-4-4-44-4-4-444-4444-400000000000000000000000000000000000000000
χ494-44-44-44-4-400404-40002i22i2−2i2−2i200000000−2i22i2000000000000000000000000000
χ504-44-44-44-4-400404-4000−2i2−2i22i22i2000000002i2−2i2000000000000000000000000000
χ514-4-44-444-400000000002i2−2i2−2i22i200000000002i2−2i20000002-2-22000000000000000
χ524-4-44-444-400000000002i2−2i2−2i22i20000000000−2i22i2000000-222-2000000000000000
χ534-4-44-444-40000000000−2i22i22i2−2i200000000002i2−2i2000000-222-2000000000000000
χ544-4-44-444-40000000000−2i22i22i2−2i20000000000−2i22i20000002-2-22000000000000000
χ554-4-4-444-4404-40-40040000000000004-400000000000000000000000000000
χ564-4-4-444-4404-40-4004000000000000-4400000000000000000000000000000
χ574-4-4-444-440-440400-400000000000000000000000000000000002i2−2i20000000
χ584-4-4-444-440-440400-40000000000000000000000000000000000−2i22i20000000
χ5988-888-8-8-8000000000000000000000000000000000000000000000000000

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