Finite Group Databasebeta

← Group #338945

Character table — Group #338945

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888244444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111111111111-1-1-1-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1
χ4111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1111111-111
χ51111111111111111111111-1-111111111-1-11111-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1-111
χ61111111111111111111111-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1-111111-1-1
χ71111111111111111111111-1-1-1-1-1-1111111-1-1-1-1111111-111-1-11-1-11111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-111-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-111-111-1-1-1-1-111-11-1
χ10111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-11-11-1-11-1-111-1-11-11
χ11111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1111111-111-1-1-111-1-1-1-11
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111111-11-1-11-1-1-1-11111-1
χ13111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-111-1
χ14111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-11-1-1-1-111-1-1111-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-11-1
χ172222222222-2-22-2-22-2-200002222-2-20000220000-2-20000-200000000000000
χ182222222222-2-22-2-22-2-2000022-2-2220000-2-20000220000-200000000000000
χ192222222222-2-22-2-22-2-20000-2-222-2-20000-2-20000220000200000000000000
χ202222222222-2-22-2-22-2-20000-2-2-2-2220000220000-2-20000200000000000000
χ2122222222-2-222-222-2-2-2222200000022-2-20000000000000-2-2002000000000
χ2222222222-2-222-222-2-2-22222000000-2-2-2-200000000000002200-2000000000
χ2322222222-2-222-222-2-2-2-2-2-2-200000022220000000000000-2200-2000000000
χ2422222222-2-222-222-2-2-2-2-2-2-2000000-2-22200000000000002-2002000000000
χ252-222-22-2-2-22-2-2-2222-22000000000000000022-2-20000000002i−2i0002i−2i00000
χ262-222-22-2-2-22-2-2-2222-22000000000000000022-2-2000000000−2i2i000−2i2i00000
χ272-222-22-2-2-22-2-2-2222-220000000000000000-2-2220000000002i−2i000−2i2i00000
χ282-222-22-2-2-22-2-2-2222-220000000000000000-2-222000000000−2i2i0002i−2i00000
χ292-22-22-2-222200-200-20022−2−22i−2i002-2002−2002−22−22i−2ii2i2−i2−i2000000i2−i20000000
χ302-22-22-2-222200-200-20022−2−22i−2i00-22002−200−22−22−2i2i−i2−i2i2i2000000i2−i20000000
χ312-22-22-2-222200-200-20022−2−2−2i2i002-2002−2002−22−2−2i2i−i2−i2i2i2000000−i2i20000000
χ322-22-22-2-222200-200-20022−2−2−2i2i00-22002−200−22−222i−2ii2i2−i2−i2000000−i2i20000000
χ332-22-22-2-222200-200-200−2−2222i−2i002-200−2200−22−222i−2i−i2−i2i2i2000000−i2i20000000
χ342-22-22-2-222200-200-200−2−2222i−2i00-2200−22002−22−2−2i2ii2i2−i2−i2000000−i2i20000000
χ352-22-22-2-222200-200-200−2−222−2i2i002-200−2200−22−22−2i2ii2i2−i2−i2000000i2−i20000000
χ362-22-22-2-222200-200-200−2−222−2i2i00-2200−22002−22−22i−2i−i2−i2i2i2000000i2−i20000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-4-44-44-400-4004000000004-4000000000000000000000000000000000
χ39444-4-4-44-44-400-400400000000-44000000000000000000000000000000000
χ40444-4-4-44-4-4400400-400000000000000000022−22−2222000000000000000000000
χ41444-4-4-44-4-4400400-4000000000000000000−222222−22000000000000000000000
χ4244-444-4-4-4004-404-4000000000000000000000000022−2222−22000000000000000
χ4344-444-4-4-4004-404-40000000000000000000000000−2222−2222000000000000000
χ4444-444-4-4-400-440-440004-44-40000000000000000000000000000000000000
χ4544-444-4-4-400-440-44000-44-440000000000000000000000000000000000000
χ464-444-44-4-44-4444-4-4-4-4400000000000000000000000000000000000000000
χ474-444-44-4-44-4-4-4444-44-400000000000000000000000000000000000000000
χ484-444-44-4-4-4444-4-4-444-400000000000000000000000000000000000000000
χ494-44-44-4-44-4-4004004002222−22−2200000000−2222000000000000000000000000000
χ504-44-44-4-44-4-400400400−22−2222220000000022−22000000000000000000000000000
χ514-4-44-4-444004-40-4400000000000000000000000000000000000000022−22000
χ524-4-44-4-444004-40-44000000000000000000000000000000000000000−2222000
χ534-4-44-4-44400-4404-400000000000004-400000000000000000000000000000
χ544-4-44-4-44400-4404-40000000000000-4400000000000000000000000000000
χ554-4-4-4444-4000000000022−22−222200000000002i2−2i20000002i−2i−2i2i000000000000000
χ564-4-4-4444-4000000000022−22−22220000000000−2i22i2000000−2i2i2i−2i000000000000000
χ574-4-4-4444-40000000000−222222−2200000000002i2−2i2000000−2i2i2i−2i000000000000000
χ584-4-4-4444-40000000000−222222−220000000000−2i22i20000002i−2i−2i2i000000000000000
χ5988-8-8-88-88000000000000000000000000000000000000000000000000000

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