Finite Group Databasebeta

← Group #340487

Character table — Group #340487

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888444444444444888888888888888844448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-11111-1-1-1-111111111111-1-1-1-1-111-1-1-1
χ311111111111111111111111111-1-11111-1-111-1-111111111-1-1-1-11111-11-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111
χ51111111111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-1-1-1-111
χ61111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-11111-1-11-1-1
χ71111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-11111-111
χ9111111111111111111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1
χ10111111111111111111-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ11111111111111111111-1-1-1-11111-1-111-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-111-1-111-1-11
χ12111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-1111111-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-11-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-1-1-11111-11-1-1-1-1111-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-11-1
χ172222222222-22-2-2-22-2-22222000000222200-2-200000000-2-2000000000-2000000000
χ182222222222-22-2-2-22-2-22222000000-2-2-2-2002200000000-2-20000000002000000000
χ192222222222-22-2-2-22-2-2-2-2-2-200000022-2-200-2-200000000220000000002000000000
χ202222222222-22-2-2-22-2-2-2-2-2-2000000-2-22200220000000022000000000-2000000000
χ2122222222-2-22-2222-2-2-200002222220000-2-200-2-2-2-20000000000000020000000000
χ2222222222-2-22-2222-2-2-200002222-2-20000220022-2-200000000000000-20000000000
χ2322222222-2-22-2222-2-2-20000-2-2-2-22200002200-2-22200000000000000-20000000000
χ2422222222-2-22-2222-2-2-20000-2-2-2-2-2-20000-2-20022220000000000000020000000000
χ25222-22-2-2-22-202000-20022-2-222−2−2002-22-20000002−222−2−200000022−2−200002−200000
χ26222-22-2-2-22-202000-20022-2-222−2−200-22-220000002−2−2−22200000022−2−20000−2200000
χ27222-22-2-2-22-202000-20022-2-2−2−222002-22-2000000−22−2−222000000−2−2220000−2200000
χ28222-22-2-2-22-202000-20022-2-2−2−22200-22-22000000−2222−2−2000000−2−22200002−200000
χ29222-22-2-2-22-202000-200-2-22222−2−2002-2-220000002−222−2−2000000−2−2220000−2200000
χ30222-22-2-2-22-202000-200-2-22222−2−200-222-20000002−2−2−222000000−2−22200002−200000
χ31222-22-2-2-22-202000-200-2-222−2−222002-2-22000000−22−2−22200000022−2−200002−200000
χ32222-22-2-2-22-202000-200-2-222−2−22200-222-2000000−2222−2−200000022−2−20000−2200000
χ332-222-2-2-2222-2-22-22-2-2200000000000000000000002i−2i2i−2i002i2i−2i−2i0000002-20000000
χ342-222-2-2-2222-2-22-22-2-2200000000000000000000002i−2i2i−2i00−2i−2i2i2i000000-220000000
χ352-222-2-2-2222-2-22-22-2-220000000000000000000000−2i2i−2i2i002i2i−2i−2i000000-220000000
χ362-222-2-2-2222-2-22-22-2-220000000000000000000000−2i2i−2i2i00−2i−2i2i2i0000002-20000000
χ372-2-2222-2-200-20-2220002−22−22-22-20000002i−2i002i−2i0000002−2i2−i2i2−i22−22−2000000i2−i2000
χ382-2-2222-2-200-20-2220002−22−22-22-2000000−2i2i00−2i2i0000002−2−i2i2−i2i22−22−2000000−i2i2000
χ392-2-2222-2-200-20-2220002−22−2-22-220000002i−2i00−2i2i0000002−2−i2i2−i2i2−22−22000000i2−i2000
χ402-2-2222-2-200-20-2220002−22−2-22-22000000−2i2i002i−2i0000002−2i2−i2i2−i2−22−22000000−i2i2000
χ412-2-2222-2-200-20-222000−22−222-22-20000002i−2i002i−2i000000−22−i2i2−i2i2−22−22000000−i2i2000
χ422-2-2222-2-200-20-222000−22−222-22-2000000−2i2i00−2i2i000000−22i2−i2i2−i2−22−22000000i2−i2000
χ432-2-2222-2-200-20-222000−22−22-22-220000002i−2i00−2i2i000000−22i2−i2i2−i22−22−2000000−i2i2000
χ442-2-2222-2-200-20-222000−22−22-22-22000000−2i2i002i−2i000000−22−i2i2−i2i22−22−2000000i2−i2000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-44-4-4-4-440-400040000002222−22−22000000000000−22220000000000000000000000000
χ47444-44-4-4-4-440-40004000000−22−22222200000000000022−220000000000000000000000000
χ4844-44-4-44-40040-4-44000000000000000000000000000000022−22−2222000000000000000
χ4944-44-4-44-40040-4-440000000000000000000000000000000−222222−22000000000000000
χ5044-44-4-44-400-4044-4000000000004-40000000000000000000000000000000000000
χ5144-44-4-44-400-4044-400000000000-440000000000000000000000000000000000000
χ524-444-4-4-44444-4-44-4-44-400000000000000000000000000000000000000000000000
χ534-444-4-4-44-4-444-44-44-4400000000000000000000000000000000000000000000000
χ544-444-4-4-44-4-4-444-4444-400000000000000000000000000000000000000000000000
χ554-44-4-444-44-40-400040000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ564-44-4-444-44-40-40004000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ574-44-4-444-4-4404000-40000000000000000004-400000000000000000000000000000
χ584-44-4-444-4-4404000-4000000000000000000-4400000000000000000000000000000
χ594-4-4444-4-400404-4-400022−2222−220000000000000000000000−22220000000000000000000
χ604-4-4444-4-400404-4-4000−2222−2222000000000000000000000022−220000000000000000000
χ614-4-4-44-444000000000022−22−222222−22−22220000000000000000000000002-2-2200000000000
χ624-4-4-44-444000000000022−22−2222−222222−22000000000000000000000000-222-200000000000
χ634-4-4-44-4440000000000−222222−2222−22−2222000000000000000000000000-222-200000000000
χ644-4-4-44-4440000000000−222222−22−222222−220000000000000000000000002-2-2200000000000
χ6588-8-8-88-88000000000000000000000000000000000000000000000000000000000

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