Finite Group Databasebeta

← Group #340324

Character table — Group #340324

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888444444888888244
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11
χ3111111111111111111111111-1-1111111111111111111-11-1-1-1-1-1-1-1-111-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1
χ51111111111111111111111-1-1111111-1-1-1-1111111-1-1-1-11-111-1-1-1-1-1-1-1-111-1
χ61111111111111111111111-1-111-1-1-1-1111111-1-1-1-111111-111-1-11111-1-1-1-1-1
χ71111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-11-1-1
χ10111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-111-111-1-111-1-1-11-1
χ11111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-11-1-1-1-111-1-1-111
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-1-111-1-1-1-11-11
χ13111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-111111-11
χ14111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-11-1-1-111-1-111-111
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-111111-1-111-11-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-1-1111-1-111111-1-1
χ172222222222-2-22-2-22-2-22222002200000000-2-20000000020-2-200000000000
χ182222222222-2-22-2-22-2-2222200-2-200000000-2-200000000-202200000000000
χ192222222222-2-22-2-22-2-2-2-2-2-20022000000002200000000-20-2200000000000
χ202222222222-2-22-2-22-2-2-2-2-2-200-2-2000000002200000000202-200000000000
χ2122222222-2-222-222-2-2-20000220022-2-222-2-200000000000-20000000000000
χ2222222222-2-222-222-2-2-200002200-2-222-2-22200000000000-20000000000000
χ2322222222-2-222-222-2-2-20000-2-20022-2-2-2-2220000000000020000000000000
χ2422222222-2-222-222-2-2-20000-2-200-2-22222-2-20000000000020000000000000
χ2522-2-22-22-2002-202-2000i2i2−i2−i22i−2i002-2002i−2i00i2−i2i2i2−i2−i222−2−200000000002−2000
χ2622-2-22-22-2002-202-2000i2i2−i2−i22i−2i00-2200−2i2i00i2−i2−i2−i2i2i2−2−22200000000002−2000
χ2722-2-22-22-2002-202-2000i2i2−i2−i2−2i2i002-200−2i2i00i2−i2i2i2−i2−i2−2−2220000000000−22000
χ2822-2-22-22-2002-202-2000i2i2−i2−i2−2i2i00-22002i−2i00i2−i2−i2−i2i2i222−2−20000000000−22000
χ2922-2-22-22-2002-202-2000−i2−i2i2i22i−2i002-2002i−2i00−i2i2−i2−i2i2i2−2−2220000000000−22000
χ3022-2-22-22-2002-202-2000−i2−i2i2i22i−2i00-2200−2i2i00−i2i2i2i2−i2−i222−2−20000000000−22000
χ3122-2-22-22-2002-202-2000−i2−i2i2i2−2i2i002-200−2i2i00−i2i2−i2−i2i2i222−2−200000000002−2000
χ3222-2-22-22-2002-202-2000−i2−i2i2i2−2i2i00-22002i−2i00−i2i2i2i2−i2−i2−2−22200000000002−2000
χ332-2-22-2-222-2-2-2-222222-20000000000000000002-22-2000000002-2002-200000
χ342-2-22-2-222-2-2-2-222222-20000000000000000002-22-200000000-2200-2200000
χ352-2-22-2-222-2-2-2-222222-2000000000000000000-22-22000000002-200-2200000
χ362-2-22-2-222-2-2-2-222222-2000000000000000000-22-2200000000-22002-200000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-4-4-4400000000002i2−2i22i2−2i2000000000022−220000002i−2i2i−2i000000000000000
χ39444-4-4-4-4400000000002i2−2i22i2−2i20000000000−2222000000−2i2i−2i2i000000000000000
χ40444-4-4-4-440000000000−2i22i2−2i22i2000000000022−22000000−2i2i−2i2i000000000000000
χ41444-4-4-4-440000000000−2i22i2−2i22i20000000000−22220000002i−2i2i−2i000000000000000
χ4244-44-44-4-44-400400-4004-4-440000000000000000000000000000000000000
χ4344-44-44-4-44-400400-400-444-40000000000000000000000000000000000000
χ4444-44-44-4-4-4400-40040000000000000000000000002i2−2i2−2i22i2000000000000000
χ4544-44-44-4-4-4400-4004000000000000000000000000−2i22i22i2−2i2000000000000000
χ4644-4-44-44-400-440-440002i22i2−2i2−2i2000000000000−2i22i200000000000000000000000
χ4744-4-44-44-400-440-44000−2i2−2i22i22i20000000000002i2−2i200000000000000000000000
χ484-4444-4-4-44-400-4004000000004i−4i000000000000000000000000000000000
χ494-4444-4-4-44-400-400400000000−4i4i000000000000000000000000000000000
χ504-4444-4-4-4-4400400-4000000000000000000000000000000000022−220000000
χ514-4444-4-4-4-4400400-40000000000000000000000000000000000−22220000000
χ524-44-4-444-4004-40-4400000000000004i−4i00000000000000000000000000000
χ534-44-4-444-4004-40-440000000000000−4i4i00000000000000000000000000000
χ544-44-4-444-400-4404-40000000000000000000002i2−2i2−2i22i20000000000000000000
χ554-44-4-444-400-4404-4000000000000000000000−2i22i22i2−2i20000000000000000000
χ564-4-44-4-4444444-4-4-4-44-400000000000000000000000000000000000000000
χ574-4-44-4-44444-4-4-444-4-4400000000000000000000000000000000000000000
χ584-4-44-4-444-4-4444-4-44-4400000000000000000000000000000000000000000
χ598-8-8-888-88000000000000000000000000000000000000000000000000000

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