Finite Group Databasebeta

← Group #264553

Character table — Group #264553

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444888888888888888888888888881616161616161616161616163232
order12222222444444444488882244444444448888888888888822244488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ311111111111111111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-11-1-11-1-1-1-1-1-1-1-111
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1-111-1111111-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-111111-1-11-1-11111-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-111-111-1-1-1-1-1-111
χ9111111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-11-1
χ10111111111111111111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-1-11
χ11111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1111-1-1-1-111-1-1-11
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1-11111-1-1-1-11-1
χ13111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111-1-111111-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-1-111-1-111-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-111111-1-111-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1111-1-1-1-1-111111-1
χ172222222222-22-2-2-22-2-222220000002200-2-20000-2-200000000200-20000000000
χ182222222222-22-2-2-22-2-22222000000-2-200220000-2-200000000-20020000000000
χ192222222222-22-2-2-22-2-2-2-2-2-200000022002200002200000000-200-20000000000
χ202222222222-22-2-2-22-2-2-2-2-2-2000000-2-200-2-20000220000000020020000000000
χ2122222222-2-22-2222-2-2-2000022-2-22200-2-20022-2-2000000000000000000000000
χ2222222222-2-22-2222-2-2-2000022-2-2-2-2002200-2-222000000000000000000000000
χ2322222222-2-22-2222-2-2-20000-2-2222200-2-200-2-222000000000000000000000000
χ2422222222-2-22-2222-2-2-20000-2-222-2-200220022-2-2000000000000000000000000
χ252-2-2-2-222222-2-222-2-22-200002-22-2000000000000002i2i−2i−2i2i2i−2i−2i00000000000000
χ262-2-2-2-222222-2-222-2-22-200002-22-200000000000000−2i−2i2i2i−2i−2i2i2i00000000000000
χ272-2-2-2-222222-2-222-2-22-20000-22-22000000000000002i2i−2i−2i−2i−2i2i2i00000000000000
χ282-2-2-2-222222-2-222-2-22-20000-22-2200000000000000−2i−2i2i2i2i2i−2i−2i00000000000000
χ292-2-2-2-2222-2-222-2-2222-222-2-200000000000000002-20000000002-202-200000000
χ302-2-2-2-2222-2-222-2-2222-222-2-200000000000000002-2000000000-220-2200000000
χ312-2-2-2-2222-2-222-2-2222-2-2-2220000000000000000-220000000002-20-2200000000
χ322-2-2-2-2222-2-222-2-2222-2-2-2220000000000000000-22000000000-2202-200000000
χ332-2-2-2-2222-2-2-2222-22-2222-2-22-2-22000000000000-220000000000000000002-200
χ342-2-2-2-2222-2-2-2222-22-2222-2-2-222-2000000000000-22000000000000000000-2200
χ352-2-2-2-2222-2-2-2222-22-22-2-2222-2-220000000000002-2000000000000000000-2200
χ362-2-2-2-2222-2-2-2222-22-22-2-222-222-20000000000002-20000000000000000002-200
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000
χ38444-4-44-4-44-404000-40000000000004-400000000000000000000000000000000
χ39444-4-44-4-44-404000-4000000000000-4400000000000000000000000000000000
χ40444-4-44-4-4-440-40004000000000000000000000000000000000000002i2−2i2000000
χ41444-4-44-4-4-440-4000400000000000000000000000000000000000000−2i22i2000000
χ4244-44-4-44-400000000002i2−2i22i2−2i2000000000000002i2−2i20000002-22-200000000000000
χ4344-44-4-44-400000000002i2−2i22i2−2i200000000000000−2i22i2000000-22-2200000000000000
χ4444-44-4-44-40000000000−2i22i2−2i22i2000000000000002i2−2i2000000-22-2200000000000000
χ4544-44-4-44-40000000000−2i22i2−2i22i200000000000000−2i22i20000002-22-200000000000000
χ4644-4-44-4-4400404-4-4000000000004i−4i0000000000000000000000000000000000
χ4744-4-44-4-4400404-4-400000000000−4i4i0000000000000000000000000000000000
χ4844-4-44-4-4400-40-444000000000000000000000000022−2222−22000000000000000000
χ4944-4-44-4-4400-40-4440000000000000000000000000−2222−2222000000000000000000
χ504-444-4-4-440040-44-400000000000000000000000002i2−2i2−2i22i2000000000000000000
χ514-444-4-4-440040-44-40000000000000000000000000−2i22i22i2−2i2000000000000000000
χ524-444-4-4-4400-404-440000000000000004-4000000000000000000000000000000
χ534-444-4-4-4400-404-44000000000000000-44000000000000000000000000000000
χ544-44-44-44-400000000002i2−2i2−2i22i200000000000022−22000000002i−2i−2i2i00000000000000
χ554-44-44-44-400000000002i2−2i2−2i22i2000000000000−222200000000−2i2i2i−2i00000000000000
χ564-44-44-44-40000000000−2i22i22i2−2i200000000000022−2200000000−2i2i2i−2i00000000000000
χ574-44-44-44-40000000000−2i22i22i2−2i2000000000000−2222000000002i−2i−2i2i00000000000000
χ584-4-4444-4-44-40-40004000000000000000000000000000000000000000022−220000
χ594-4-4444-4-44-40-400040000000000000000000000000000000000000000−22220000
χ604-4-4444-4-4-4404000-400000000000000004i−4i0000000000000000000000000000
χ614-4-4444-4-4-4404000-40000000000000000−4i4i0000000000000000000000000000
χ624-4-4-4-4444444-4-4-44-4-4400000000000000000000000000000000000000000000

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