Finite Group Databasebeta

← Group #336249

Character table — Group #336249

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882244444488888888888888224444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-11111-1-1-1-111-1-1-11-1-1-1-1-1-1-111
χ311111111111111111111111111-1-11111111111111111-1-11-1-1-1-1-1-1-111-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111-11111-1-11-1-1
χ51111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1
χ61111111111111111111111-1-1-1-111-1-1111111-1-1-1-1111111-1-1-111111-1-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111111-111
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-111-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11-1111-111-1-1-1-1-11-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1111111-1
χ11111111111111111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-11-1-111-1-11-11
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-111111-1-111-1-11
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111-1111-1-1-111-1-1-1-11
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11-1-1-1-1-111-1-1111-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-111-1-1111-1-1-1-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1111-1-11111-11-1
χ172222222222-22-2-2-22-2-2222200002200-2-2000000000000-2-20002000000000
χ182222222222-22-2-2-22-2-222220000-2-200-2-200000000000022000-2000000000
χ192222222222-22-2-2-22-2-2-2-2-2-20000220022000000000000-22000-2000000000
χ202222222222-22-2-2-22-2-2-2-2-2-20000-2-200220000000000002-20002000000000
χ2122222222-2-22-2222-2-2-2000022-2-2002200-2-2220000000000-2000000000000
χ2222222222-2-22-2222-2-2-2000022-2-200-2-20022-2-200000000002000000000000
χ2322222222-2-22-2222-2-2-20000-2-22200220022-2-20000000000-2000000000000
χ2422222222-2-22-2222-2-2-20000-2-22200-2-200-2-22200000000002000000000000
χ252-22-22-22-222-2-22-22-2-220000000000000000002i2i−2i−2i00000002i−2i0002-200000
χ262-22-22-22-222-2-22-22-2-220000000000000000002i2i−2i−2i0000000−2i2i000-2200000
χ272-22-22-22-222-2-22-22-2-22000000000000000000−2i−2i2i2i00000002i−2i000-2200000
χ282-22-22-22-222-2-22-22-2-22000000000000000000−2i−2i2i2i0000000−2i2i0002-200000
χ292-2-2-2-222200-20-22200022−2−22-200002-22−2002-22−22−222−2−200000000002−2000
χ302-2-2-2-222200-20-22200022−2−22-20000-222−200-222−22−2−2−2220000000000−22000
χ312-2-2-2-222200-20-22200022−2−2-2200002-22−200-22−22−22−2−22200000000002−2000
χ322-2-2-2-222200-20-22200022−2−2-220000-222−2002-2−22−2222−2−20000000000−22000
χ332-2-2-2-222200-20-222000−2−2222-200002-2−22002-2−22−22−2−2220000000000−22000
χ342-2-2-2-222200-20-222000−2−2222-20000-22−2200-22−22−2222−2−200000000002−2000
χ352-2-2-2-222200-20-222000−2−222-2200002-2−2200-222−22−222−2−20000000000−22000
χ362-2-2-2-222200-20-222000−2−222-220000-22−22002-22−22−2−2−22200000000002−2000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-4-4-44000000000022−2222−2200000000002i2−2i20000002i−2i2i−2i000000000000000
χ39444-4-4-4-44000000000022−2222−220000000000−2i22i2000000−2i2i−2i2i000000000000000
χ40444-4-4-4-440000000000−2222−222200000000002i2−2i2000000−2i2i−2i2i000000000000000
χ41444-4-4-4-440000000000−2222−22220000000000−2i22i20000002i−2i2i−2i000000000000000
χ4244-44-4-44-40040-4-440000000000000000000002i2−2i2−2i22i20000000000000000000
χ4344-44-4-44-40040-4-44000000000000000000000−2i22i22i2−2i20000000000000000000
χ4444-44-4-44-400-4044-40000000004i−4i000000000000000000000000000000000
χ4544-44-4-44-400-4044-4000000000−4i4i000000000000000000000000000000000
χ4644-4-444-4-44-404000-4000000000000000000000000000000000022−220000000
χ4744-4-444-4-44-404000-40000000000000000000000000000000000−22220000000
χ4844-4-444-4-4-440-4000400000000004i−4i0000000000000000000000000000000
χ4944-4-444-4-4-440-400040000000000−4i4i0000000000000000000000000000000
χ504-44-44-44-4444-4-44-4-44-400000000000000000000000000000000000000000
χ514-44-44-44-4-4-444-44-44-4400000000000000000000000000000000000000000
χ524-44-44-44-4-4-4-444-4444-400000000000000000000000000000000000000000
χ534-4-444-4-444-40-40004004-4-440000000000000000000000000000000000000
χ544-4-444-4-444-40-4000400-444-40000000000000000000000000000000000000
χ554-4-444-4-44-4404000-40000000000000000000000002i2−2i2−2i22i2000000000000000
χ564-4-444-4-44-4404000-4000000000000000000000000−2i22i22i2−2i2000000000000000
χ574-4-4-4-444400404-4-40002222−22−2200000000−2222000000000000000000000000000
χ584-4-4-4-444400404-4-4000−22−2222220000000022−22000000000000000000000000000
χ598-888-88-8-8000000000000000000000000000000000000000000000000000

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