Finite Group Databasebeta

← Group #337142

Character table — Group #337142

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888444444888888244
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1
χ3111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-11-11
χ4111111111111111111111111-1-1-1-1-1-111-1-1-1-1111111111-111-1-1-1-11111-1-1-1
χ51111111111111111111111-1-111111111111111111111-11-1-1-1-111-1-1-1-1-1-1-1
χ61111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111-11
χ71111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-1
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
χ10111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-11-1111-1-1-1-1111-1-1
χ11111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-111-1-111-111
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1-11111-1-111-1
χ13111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-11111-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-111-1-1-111
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-11-1111111-1-11-1-1
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
χ172222222222-2-2-2-222-2-20000002222-2-200000022-2-200000-20000000000000
χ182222222222-2-2-2-222-2-200000022-2-222000000-2-22200000-20000000000000
χ192222222222-2-2-2-222-2-2000000-2-222-2-2000000-2-2220000020000000000000
χ202222222222-2-2-2-222-2-2000000-2-2-2-22200000022-2-20000020000000000000
χ2122222222-2-22222-2-2-2-2222222000000-2-2000000000000-202-200000000000
χ2222222222-2-22222-2-2-2-22222-2-2000000-2-200000000000020-2200000000000
χ2322222222-2-22222-2-2-2-2-2-2-2-2220000002200000000000020-2-200000000000
χ2422222222-2-22222-2-2-2-2-2-2-2-2-2-200000022000000000000-202200000000000
χ252-222-2-22-22-200002-200i2i2−i2−i2002i−2i002i−2ii2−i222−2−2002-2i2i2−i2−i20000002−20000000
χ262-222-2-22-22-200002-200i2i2−i2−i2002i−2i00−2i2ii2−i2−2−22200-22−i2−i2i2i20000002−20000000
χ272-222-2-22-22-200002-200i2i2−i2−i200−2i2i002i−2ii2−i222−2−200-22−i2−i2i2i2000000−220000000
χ282-222-2-22-22-200002-200i2i2−i2−i200−2i2i00−2i2ii2−i2−2−222002-2i2i2−i2−i2000000−220000000
χ292-222-2-22-22-200002-200−i2−i2i2i2002i−2i002i−2i−i2i2−2−222002-2−i2−i2i2i2000000−220000000
χ302-222-2-22-22-200002-200−i2−i2i2i2002i−2i00−2i2i−i2i222−2−200-22i2i2−i2−i2000000−220000000
χ312-222-2-22-22-200002-200−i2−i2i2i200−2i2i002i−2i−i2i2−2−22200-22i2i2−i2−i20000002−20000000
χ322-222-2-22-22-200002-200−i2−i2i2i200−2i2i00−2i2i−i2i222−2−2002-2−i2−i2i2i20000002−20000000
χ332-2-2222-2-2-2-222-2-2222-2000000000000002i−2i2i−2i0000000000002i−2i00002-2000
χ342-2-2222-2-2-2-222-2-2222-2000000000000002i−2i2i−2i000000000000−2i2i0000-22000
χ352-2-2222-2-2-2-222-2-2222-200000000000000−2i2i−2i2i0000000000002i−2i0000-22000
χ362-2-2222-2-2-2-222-2-2222-200000000000000−2i2i−2i2i000000000000−2i2i00002-2000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-44-4-4-4004-44-40000000000000000000000000000000000000022−2200000
χ39444-44-4-4-4004-44-400000000000000000000000000000000000000−222200000
χ40444-44-4-4-400-44-44000000004-400000000000000000000000000000000000
χ41444-44-4-4-400-44-4400000000-4400000000000000000000000000000000000
χ4244-44-4-4-444-40000-4400000000004i−4i0000000000000000000000000000000
χ4344-44-4-4-444-40000-440000000000−4i4i0000000000000000000000000000000
χ4444-44-4-4-44-4400004-400000000000000002i2−2i2−2i22i200000000000000000000000
χ4544-44-4-4-44-4400004-40000000000000000−2i22i22i2−2i200000000000000000000000
χ4644-4-4-444-400000000002i2−2i22i2−2i20000000000000022−22002i−2i2i−2i000000000000000
χ4744-4-4-444-400000000002i2−2i22i2−2i200000000000000−222200−2i2i−2i2i000000000000000
χ4844-4-4-444-40000000000−2i22i2−2i22i20000000000000022−2200−2i2i−2i2i000000000000000
χ4944-4-4-444-40000000000−2i22i2−2i22i200000000000000−2222002i−2i2i−2i000000000000000
χ504-444-4-44-4-440000-44002i22i2−2i2−2i200000000−2i22i2000000000000000000000000000
χ514-444-4-44-4-440000-4400−2i2−2i22i22i2000000002i2−2i2000000000000000000000000000
χ524-4-4444-4-44444-4-4-4-4-4400000000000000000000000000000000000000000
χ534-4-4444-4-444-4-444-4-44-400000000000000000000000000000000000000000
χ544-4-4444-4-4-4-4-4-44444-4400000000000000000000000000000000000000000
χ554-4-4-44-444004-4-4400004-4-440000000000000000000000000000000000000
χ564-4-4-44-444004-4-440000-444-40000000000000000000000000000000000000
χ574-4-4-44-44400-444-40000000000000000000000000022−22−2222000000000000000
χ584-4-4-44-44400-444-400000000000000000000000000−222222−22000000000000000
χ598-88-8-88-88000000000000000000000000000000000000000000000000000

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