Finite Group Databasebeta

← Group #340709

Character table — Group #340709

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888244444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111111111111111-1-1-1-1-1111-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11-11
χ4111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-11111-11-1
χ51111111111111111111111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-11-1
χ61111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111-11
χ71111111111111111111111-1-1-1-1-1-11111-1-1-1-111111111111-1-1-1-1-11111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-111-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-11-1111-1-111-1-1-1-11
χ10111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-11-11-1-11-1-1-1-11111-1
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
χ12111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1111-11111-1-11-1-1
χ13111111111111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-11-1111-1-1-1-1111-1-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111-11-1-11-1-111-1-1-111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-11-1-1-1-11111-1-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11-1111-111-1-111-1-11
χ172222222222-22-2-2-22-2-200002222-2-20022000000-2-2000000000-2000000000
χ182222222222-22-2-2-22-2-2000022-2-2-2-200-2-2000000220000000002000000000
χ192222222222-22-2-2-22-2-20000-2-2222200-2-200000022000000000-2000000000
χ202222222222-22-2-2-22-2-20000-2-2-2-2220022000000-2-20000000002000000000
χ2122222222-2-22-2222-2-2-2222200000022000000-2-2000000-2-22000000000000
χ2222222222-2-22-2222-2-2-22222000000-2-2000000-2-200000022-2000000000000
χ2322222222-2-22-2222-2-2-2-2-2-2-200000022000000220000002-2-2000000000000
χ2422222222-2-22-2222-2-2-2-2-2-2-2000000-2-200000022000000-222000000000000
χ252-22-2-222-222-2-22-22-2-22000000000000002i2i−2i−2i000000000002-2000002i−2i000
χ262-22-2-222-222-2-22-22-2-22000000000000002i2i−2i−2i00000000000-2200000−2i2i000
χ272-22-2-222-222-2-22-22-2-2200000000000000−2i−2i2i2i000000000002-200000−2i2i000
χ282-22-2-222-222-2-22-22-2-2200000000000000−2i−2i2i2i00000000000-22000002i−2i000
χ292-2-22-22-222-202000-20022−2−2002i−2i2-200002−22−22−22i−2ii2i2−i2−i2000000i2−i20000000
χ302-2-22-22-222-202000-20022−2−2002i−2i-220000−22−222−2−2i2i−i2−i2i2i2000000i2−i20000000
χ312-2-22-22-222-202000-20022−2−200−2i2i2-200002−22−22−2−2i2i−i2−i2i2i2000000−i2i20000000
χ322-2-22-22-222-202000-20022−2−200−2i2i-220000−22−222−22i−2ii2i2−i2−i2000000−i2i20000000
χ332-2-22-22-222-202000-200−2−222002i−2i2-20000−22−22−222i−2i−i2−i2i2i2000000−i2i20000000
χ342-2-22-22-222-202000-200−2−222002i−2i-2200002−22−2−22−2i2ii2i2−i2−i2000000−i2i20000000
χ352-2-22-22-222-202000-200−2−22200−2i2i2-20000−22−22−22−2i2ii2i2−i2−i2000000i2−i20000000
χ362-2-22-22-222-202000-200−2−22200−2i2i-2200002−22−2−222i−2i−i2−i2i2i2000000i2−i20000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ3844-44-4-44-400404-4-40004-44-40000000000000000000000000000000000000
χ3944-44-4-44-400404-4-4000-44-440000000000000000000000000000000000000
χ4044-44-4-44-400-40-44400000000000000000000000002i2−2i22i2−2i2000000000000000
χ4144-44-4-44-400-40-4440000000000000000000000000−2i22i2−2i22i2000000000000000
χ4244-4-444-4-44-40-4000400000000000000002i2−2i2−2i22i200000000000000000000000
χ4344-4-444-4-44-40-400040000000000000000−2i22i22i2−2i200000000000000000000000
χ4444-4-444-4-4-4404000-40000004-400000000000000000000000000000000000
χ4544-4-444-4-4-4404000-4000000-4400000000000000000000000000000000000
χ464-4444-4-4-4000000000022−22−22220000000022−22000000002-2-22000000000000000
χ474-4444-4-4-4000000000022−22−222200000000−222200000000-222-2000000000000000
χ484-4444-4-4-40000000000−222222−220000000022−2200000000-222-2000000000000000
χ494-4444-4-4-40000000000−222222−2200000000−2222000000002-2-22000000000000000
χ504-44-4-444-4444-4-44-4-44-400000000000000000000000000000000000000000
χ514-44-4-444-4-4-444-44-44-4400000000000000000000000000000000000000000
χ524-44-4-444-4-4-4-444-4444-400000000000000000000000000000000000000000
χ534-4-44-44-44-440-40004002222−22−2200000000000000−2222000000000000000000000
χ544-4-44-44-44-440-4000400−22−2222220000000000000022−22000000000000000000000
χ554-4-4-44-4440040-4-4400000000000004-400000000000000000000000000000
χ564-4-4-44-4440040-4-440000000000000-4400000000000000000000000000000
χ574-4-4-44-44400-4044-4000000000000000000000000000000000000022−2200000
χ584-4-4-44-44400-4044-40000000000000000000000000000000000000−222200000
χ59888-8-8-8-88000000000000000000000000000000000000000000000000000

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