Finite Group Databasebeta

← Group #284341

Character table — Group #284341

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444888888888888888888888888881616161616161616161616163232
order12222222444444444488882244444444448888888888888822444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ311111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1
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
χ51111111111111111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111
χ61111111111111111111111-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-111-1-11111-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-1-1-111
χ9111111111111111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-11-1-111-1-1-1-11-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-1-1-1-111-1-1-11
χ11111111111111111111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-11
χ12111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11-11111-1-1-1-11-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1111-1-111111-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-111111-1-111-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111-1-1-111-1-111-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1111-1-1-1-1-111111-1
χ172222222222-22-2-2-22-2-2222200002200-2-2000000-2-200000000002-20000000000
χ182222222222-22-2-2-22-2-222220000-2-20022000000-2-20000000000-220000000000
χ192222222222-22-2-2-22-2-2-2-2-2-20000220022000000220000000000-2-20000000000
χ202222222222-22-2-2-22-2-2-2-2-2-20000-2-200-2-2000000220000000000220000000000
χ2122222222-2-22-2222-2-2-2000022-2-2002200-2-222-2-2000000000000000000000000
χ2222222222-2-22-2222-2-2-2000022-2-200-2-20022-2-222000000000000000000000000
χ2322222222-2-22-2222-2-2-20000-2-222002200-2-2-2-222000000000000000000000000
χ2422222222-2-22-2222-2-2-20000-2-22200-2-2002222-2-2000000000000000000000000
χ252-2-2-222-22222-2-22-2-2-222i2i−2i−2i00000000000000002i−2i000000002-2002i−2i00000000
χ262-2-2-222-22222-2-22-2-2-222i2i−2i−2i00000000000000002i−2i00000000-2200−2i2i00000000
χ272-2-2-222-22222-2-22-2-2-22−2i−2i2i2i0000000000000000−2i2i000000002-200−2i2i00000000
χ282-2-2-222-22222-2-22-2-2-22−2i−2i2i2i0000000000000000−2i2i00000000-22002i−2i00000000
χ292-2-2-222-2222-2-22-22-22-22i2i−2i−2i2-22-2000000000000−2i2i0000000000000000002i−2i00
χ302-2-2-222-2222-2-22-22-22-22i2i−2i−2i-22-22000000000000−2i2i000000000000000000−2i2i00
χ312-2-2-222-2222-2-22-22-22-2−2i−2i2i2i2-22-20000000000002i−2i000000000000000000−2i2i00
χ322-2-2-222-2222-2-22-22-22-2−2i−2i2i2i-22-220000000000002i−2i0000000000000000002i−2i00
χ332-2-2-222-22-2-2-222-222-2200002-2-220000000000000022-2-222-2-200000000000000
χ342-2-2-222-22-2-2-222-222-2200002-2-2200000000000000-2-222-2-22200000000000000
χ352-2-2-222-22-2-2-222-222-220000-222-20000000000000022-2-2-2-22200000000000000
χ362-2-2-222-22-2-2-222-222-220000-222-200000000000000-2-22222-2-200000000000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000
χ38444-44-4-4-44-404000-400000000004-40000000000000000000000000000000000
χ39444-44-4-4-44-404000-40000000000-440000000000000000000000000000000000
χ40444-44-4-4-4-440-40004000000000000000000000000000000000000002i2−2i2000000
χ41444-44-4-4-4-440-4000400000000000000000000000000000000000000−2i22i2000000
χ4244-44-4-4-440040-4-4400000000000004i−4i00000000000000000000000000000000
χ4344-44-4-4-440040-4-440000000000000−4i4i00000000000000000000000000000000
χ4444-44-4-4-4400-4044-400000000000000000000000002i2−2i22i2−2i2000000000000000000
χ4544-44-4-4-4400-4044-40000000000000000000000000−2i22i2−2i22i2000000000000000000
χ4644-4-4-444-4000000000022−2222−22000000000000002i2−2i20000002i−2i2i−2i00000000000000
χ4744-4-4-444-4000000000022−2222−2200000000000000−2i22i2000000−2i2i−2i2i00000000000000
χ4844-4-4-444-40000000000−2222−2222000000000000002i2−2i2000000−2i2i−2i2i00000000000000
χ4944-4-4-444-40000000000−2222−222200000000000000−2i22i20000002i−2i2i−2i00000000000000
χ504-444-44-4-400000000002i2−2i2−2i22i200000000000022−22000000002i−2i−2i2i00000000000000
χ514-444-44-4-400000000002i2−2i2−2i22i2000000000000−222200000000−2i2i2i−2i00000000000000
χ524-444-44-4-40000000000−2i22i22i2−2i200000000000022−2200000000−2i2i2i−2i00000000000000
χ534-444-44-4-40000000000−2i22i22i2−2i2000000000000−2222000000002i−2i−2i2i00000000000000
χ544-44-4-4-44400404-4-400000000000000000000000002i2−2i2−2i22i2000000000000000000
χ554-44-4-4-44400404-4-40000000000000000000000000−2i22i22i2−2i2000000000000000000
χ564-44-4-4-44400-40-444000000000000000004-40000000000000000000000000000
χ574-44-4-4-44400-40-44400000000000000000-440000000000000000000000000000
χ584-4-444-44-44-40-40004000000000000004-4000000000000000000000000000000
χ594-4-444-44-44-40-4000400000000000000-44000000000000000000000000000000
χ604-4-444-44-4-4404000-400000000000000000000000000000000000000002i2−2i20000
χ614-4-444-44-4-4404000-40000000000000000000000000000000000000000−2i22i20000
χ624-4-4-444-44-4-444-44-444-400000000000000000000000000000000000000000000

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