Finite Group Databasebeta

← Group #339228

Character table — Group #339228

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888444444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111-1-1-1-1111111-1-1-1-11-1-1-111-1-1-1-1-1-111-1
χ3111111111111111111111111-1-1111111111111111111-11-1-1-1-1-1-1-1-111-1-1-1
χ4111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-11
χ51111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-11
χ61111111111111111111111-1-111-1-1-1-11111-1-1-1-11111111-1-1-1111111-1-1-1-1-1
χ71111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-1-111111111-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-11-1-1
χ10111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-111111-11
χ11111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-11-1-111-1-1-111
χ12111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-111-1111-1-111-11-1
χ13111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-11111-1-1-111-1-1-11-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-111-1-111-111
χ15111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-1-1111-1-1-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-111-11-1-111111-1-1
χ17222222222-2-22-2-222-2-222220022000000000000-2-200002000-2-2000000000
χ18222222222-2-22-2-222-2-2222200-2-2000000000000-2-20000-200022000000000
χ19222222222-2-22-2-222-2-2-2-2-2-20022000000000000220000-2000-22000000000
χ20222222222-2-22-2-222-2-2-2-2-2-200-2-200000000000022000020002-2000000000
χ2122222222-222-222-2-2-2-20000220022-2-222-2-200000000000-20000000000000
χ2222222222-222-222-2-2-2-200002200-2-2-2-2-2-2220000000000020000000000000
χ2322222222-222-222-2-2-2-20000-2-2002222-2-22200000000000-20000000000000
χ2422222222-222-222-2-2-2-20000-2-200-2-22222-2-20000000000020000000000000
χ2522-22-2-22-2-2-2-2222-22-2200000000000000002i2i−2i−2i000000002i−2i00002-200000
χ2622-22-2-22-2-2-2-2222-22-2200000000000000002i2i−2i−2i00000000−2i2i0000-2200000
χ2722-22-2-22-2-2-2-2222-22-220000000000000000−2i−2i2i2i000000002i−2i0000-2200000
χ2822-22-2-22-2-2-2-2222-22-220000000000000000−2i−2i2i2i00000000−2i2i00002-200000
χ2922-2-22-2-2202-202-20000i2i2−i2−i200002-22-2002-2i2−i2i2−i2i2−i2i2i2−i2−i20000000000i2−i2000
χ3022-2-22-2-2202-202-20000i2i2−i2−i200002-2-2200-22−i2i2−i2i2i2−i2−i2−i2i2i20000000000i2−i2000
χ3122-2-22-2-2202-202-20000i2i2−i2−i20000-222-200-22i2−i2i2−i2i2−i2−i2−i2i2i20000000000−i2i2000
χ3222-2-22-2-2202-202-20000i2i2−i2−i20000-22-22002-2−i2i2−i2i2i2−i2i2i2−i2−i20000000000−i2i2000
χ3322-2-22-2-2202-202-20000−i2−i2i2i200002-22-2002-2−i2i2−i2i2−i2i2−i2−i2i2i20000000000−i2i2000
χ3422-2-22-2-2202-202-20000−i2−i2i2i200002-2-2200-22i2−i2i2−i2−i2i2i2i2−i2−i20000000000−i2i2000
χ3522-2-22-2-2202-202-20000−i2−i2i2i20000-222-200-22−i2i2−i2i2−i2i2i2i2−i2−i20000000000i2−i2000
χ3622-2-22-2-2202-202-20000−i2−i2i2i20000-22-22002-2i2−i2i2−i2−i2i2−i2−i2i2i20000000000i2−i2000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-44-4-404-40-44000000004-400000000000000000000000000000000000
χ39444-4-44-4-404-40-4400000000-4400000000000000000000000000000000000
χ40444-4-44-4-40-4404-40000000000000000000022−22−2222000000000000000000000
χ41444-4-44-4-40-4404-400000000000000000000−222222−22000000000000000000000
χ4244-44-4-44-4444-4-4-44-4-4400000000000000000000000000000000000000000
χ4344-44-4-44-44-4-4-4444-44-400000000000000000000000000000000000000000
χ4444-44-4-44-4-4444-4-4-444-400000000000000000000000000000000000000000
χ4544-4-44-4-440-440-4400002i22i2−2i2−2i20000000000000000−2i22i20000000000000000000
χ4644-4-44-4-440-440-440000−2i2−2i22i22i200000000000000002i2−2i20000000000000000000
χ474-444-4-4-44400-400-44004i−4i4i−4i0000000000000000000000000000000000000
χ484-444-4-4-44400-400-4400−4i4i−4i4i0000000000000000000000000000000000000
χ494-444-4-4-44-4004004-40000000000000000000000002i2−2i22i2−2i2000000000000000
χ504-444-4-4-44-4004004-4000000000000000000000000−2i22i2−2i22i2000000000000000
χ514-4-4444-4-4400400-4-4000000004-4000000000000000000000000000000000
χ524-4-4444-4-4400400-4-400000000-44000000000000000000000000000000000
χ534-4-4444-4-4-400-4004400000000000000000000000000000000002i2−2i20000000
χ544-4-4444-4-4-400-400440000000000000000000000000000000000−2i22i20000000
χ554-4-4-4-4444000000000022−22−22220000000022−22000000002-2-22000000000000000
χ564-4-4-4-4444000000000022−22−222200000000−222200000000-222-2000000000000000
χ574-4-4-4-44440000000000−222222−220000000022−2200000000-222-2000000000000000
χ584-4-4-4-44440000000000−222222−2200000000−2222000000002-2-22000000000000000
χ598-88-88-88-8000000000000000000000000000000000000000000000000000

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