Finite Group Databasebeta

← Group #336964

Character table — Group #336964

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888244444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111111111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-111
χ3111111111111111111111111-1-1111111111111111111-11-1-1-1-111-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-1
χ51111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1
χ61111111111111111111111-1-111-1-1-1-111-1-1-1-1111111111-111-1-1-1-11111-1-1-1
χ71111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-111
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-11-1111-1-111-1-1-1-11
χ10111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-111-1-1111-11
χ11111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-11111-1
χ12111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-11-1111111-1-1-11-1
χ13111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-1111-1-1-1-111-11-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1-11111-1-111-1
χ15111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111-1-1-1-1-111-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11-11111-1-111-1-11
χ172222222222-2-2-2-222-2-20000220022-2-200000022-2-200000-20000000000000
χ182222222222-2-2-2-222-2-200002200-2-2-2-2000000-2-2220000020000000000000
χ192222222222-2-2-2-222-2-20000-2-2002222000000-2-22200000-20000000000000
χ202222222222-2-2-2-222-2-20000-2-200-2-22200000022-2-20000020000000000000
χ2122222222-2-22222-2-2-2-2222200220000-2-200000000000020-2-200000000000
χ2222222222-2-22222-2-2-2-2222200-2-20000-2-2000000000000-202200000000000
χ2322222222-2-22222-2-2-2-2-2-2-2-20022000022000000000000-202-200000000000
χ2422222222-2-22222-2-2-2-2-2-2-2-200-2-200002200000000000020-2200000000000
χ2522-2-22-22-2-2-222-2-2222-2000000000000002i2i−2i−2i0000000000002i−2i00002-2000
χ2622-2-22-22-2-2-222-2-2222-2000000000000002i2i−2i−2i000000000000−2i2i0000-22000
χ2722-2-22-22-2-2-222-2-2222-200000000000000−2i−2i2i2i0000000000002i−2i0000-22000
χ2822-2-22-22-2-2-222-2-2222-200000000000000−2i−2i2i2i000000000000−2i2i00002-2000
χ292-22-2-222-22-200002-200i2i2−i2−i22-2002-200i2−i2i2−i2i2−i22-200i2i2−i2−i2000000i2−i20000000
χ302-22-2-222-22-200002-200i2i2−i2−i22-200-2200i2−i2i2−i2i2−i2-2200−i2−i2i2i2000000−i2i20000000
χ312-22-2-222-22-200002-200i2i2−i2−i2-22002-200i2−i2−i2i2−i2i2-2200−i2−i2i2i2000000i2−i20000000
χ322-22-2-222-22-200002-200i2i2−i2−i2-2200-2200i2−i2−i2i2−i2i22-200i2i2−i2−i2000000−i2i20000000
χ332-22-2-222-22-200002-200−i2−i2i2i22-2002-200−i2i2−i2i2−i2i22-200−i2−i2i2i2000000−i2i20000000
χ342-22-2-222-22-200002-200−i2−i2i2i22-200-2200−i2i2−i2i2−i2i2-2200i2i2−i2−i2000000i2−i20000000
χ352-22-2-222-22-200002-200−i2−i2i2i2-22002-200−i2i2i2−i2i2−i2-2200i2i2−i2−i2000000−i2i20000000
χ362-22-2-222-22-200002-200−i2−i2i2i2-2200-2200−i2i2i2−i2i2−i22-200−i2−i2i2i2000000i2−i20000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-4-4-44004-44-4000000000000000000000000002i2−2i22i2−2i2000000000000000
χ39444-4-4-4-44004-44-400000000000000000000000000−2i22i2−2i22i2000000000000000
χ40444-4-4-4-4400-44-4400004i−4i4i−4i0000000000000000000000000000000000000
χ41444-4-4-4-4400-44-440000−4i4i−4i4i0000000000000000000000000000000000000
χ4244-44-44-4-4004-4-4400000000004-4000000000000000000000000000000000
χ4344-44-44-4-4004-4-440000000000-44000000000000000000000000000000000
χ4444-44-44-4-400-444-40000000000000000000000000000000000000022−2200000
χ4544-44-44-4-400-444-400000000000000000000000000000000000000−222200000
χ4644-4-44-44-44444-4-4-4-4-4400000000000000000000000000000000000000000
χ4744-4-44-44-444-4-444-4-44-400000000000000000000000000000000000000000
χ4844-4-44-44-4-4-4-4-44444-4400000000000000000000000000000000000000000
χ494-4444-4-4-4000000000022−22−2222000000000000000022−222-2-22000000000000000
χ504-4444-4-4-4000000000022−22−22220000000000000000−2222-222-2000000000000000
χ514-4444-4-4-40000000000−222222−22000000000000000022−22-222-2000000000000000
χ524-4444-4-4-40000000000−222222−220000000000000000−22222-2-22000000000000000
χ534-44-4-444-4-440000-44002i22i2−2i2−2i200000000−2i22i2000000000000000000000000000
χ544-44-4-444-4-440000-4400−2i2−2i22i22i2000000002i2−2i2000000000000000000000000000
χ554-4-44-4-4444-40000-440000000000004-400000000000000000000000000000
χ564-4-44-4-4444-40000-44000000000000-4400000000000000000000000000000
χ574-4-44-4-444-4400004-4000000000000000022−22−222200000000000000000000000
χ584-4-44-4-444-4400004-40000000000000000−222222−2200000000000000000000000
χ598-8-8-888-88000000000000000000000000000000000000000000000000000

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