Finite Group Databasebeta

← Group #325688

Character table — Group #325688

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444444444444444444444441616161616161616161616161616161632323232
order12222222444444444444444444888888888888888844448888888888882222
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ9111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11-11-1
χ10111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-11-11
χ11111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-11-11
χ12111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1111-11-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1111-1-11
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111-111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-11-1-11
χ172222222222-2-2-2-222-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000000000
χ182222222222-2-2-2-222-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2222200000000000000000000
χ192222222222-2-2-2-222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2222200000000000000000000
χ202222222222-2-2-2-222-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-200000000000000000000
χ2122222222-2-22222-2-2-2-222-2-222-2-200000000000000002-22-20000000000000000
χ2222222222-2-22222-2-2-2-222-2-222-2-20000000000000000-22-220000000000000000
χ2322222222-2-22222-2-2-2-2-2-222-2-22200000000000000002-2-220000000000000000
χ2422222222-2-22222-2-2-2-2-2-222-2-2220000000000000000-222-20000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-2-2-22200000000000000000000000000002i−2i2i−2i0000
χ2622222222-2-2-2-2-2-2-2-22222-2-2-2-2220000000000000000000000000000−2i2i−2i2i0000
χ2722222222-2-2-2-2-2-2-2-222-2-22222-2-200000000000000000000000000002i−2i−2i2i0000
χ2822222222-2-2-2-2-2-2-2-222-2-22222-2-20000000000000000000000000000−2i2i2i−2i0000
χ292222-2-2-2-22222-2-2-2-22-20000000022-2-222-2-2000000000000002i−2i002i−2i00000000
χ302222-2-2-2-22222-2-2-2-22-20000000022-2-222-2-200000000000000−2i2i00−2i2i00000000
χ312222-2-2-2-22222-2-2-2-22-200000000-2-222-2-222000000000000002i−2i00−2i2i00000000
χ322222-2-2-2-22222-2-2-2-22-200000000-2-222-2-22200000000000000−2i2i002i−2i00000000
χ332222-2-2-2-222-2-222-2-2-220000000022-2-2-2-2220000000000002i−2i002i−2i0000000000
χ342222-2-2-2-222-2-222-2-2-220000000022-2-2-2-222000000000000−2i2i00−2i2i0000000000
χ352222-2-2-2-222-2-222-2-2-2200000000-2-22222-2-20000000000002i−2i00−2i2i0000000000
χ362222-2-2-2-222-2-222-2-2-2200000000-2-22222-2-2000000000000−2i2i002i−2i0000000000
χ374444-4-4-4-4-4-444-4-444-4400000000000000000000000000000000000000000000
χ384444-4-4-4-4-4-4-4-444444-400000000000000000000000000000000000000000000
χ3944-4-444-4-400000000000000004-4000022−2222−222222−22−22000000000000000000000000
χ4044-4-444-4-400000000000000004-40000−2222−2222−22−222222000000000000000000000000
χ4144-4-444-4-40000000000000000-44000022−2222−22−22−222222000000000000000000000000
χ4244-4-444-4-40000000000000000-440000−2222−22222222−22−22000000000000000000000000
χ4344-4-4-4-4440000000000004-40000000022−22−222200002222−22−2200000000000000000000
χ4444-4-4-4-4440000000000004-400000000−222222−220000−22−22222200000000000000000000
χ4544-4-4-4-444000000000000-440000000022−22−22220000−22−22222200000000000000000000
χ4644-4-4-4-444000000000000-4400000000−222222−2200002222−22−2200000000000000000000
χ474-44-44-44-4004-44-40000000000000000000022−2222−2222−2222−2200000000000000000000
χ484-44-44-44-4004-44-400000000000000000000−2222−2222−2222−222200000000000000000000
χ494-44-44-44-400-44-440000000000000000000022−2222−22−2222−222200000000000000000000
χ504-44-44-44-400-44-4400000000000000000000−2222−222222−2222−2200000000000000000000
χ514-44-4-44-44004-4-4400004-4004-400000000000000000000000000000000000000
χ524-44-4-44-44004-4-440000-4400-4400000000000000000000000000000000000000
χ534-44-4-44-4400-444-400004-400-4400000000000000000000000000000000000000
χ544-44-4-44-4400-444-40000-44004-400000000000000000000000000000000000000
χ554-4-444-4-444-400004-40000000000000000004-4-44000000000000000000000000
χ564-4-444-4-444-400004-4000000000000000000-444-4000000000000000000000000
χ574-4-444-4-44-440000-4400000000004-44-400000000000000000000000000000000
χ584-4-444-4-44-440000-440000000000-44-4400000000000000000000000000000000
χ594-4-44-444-44-40000-4400000000000000000000004-4-4400000000000000000000
χ604-4-44-444-44-40000-440000000000000000000000-444-400000000000000000000
χ614-4-44-444-4-4400004-400000000004-4-4400000000000000000000000000000000
χ624-4-44-444-4-4400004-40000000000-444-400000000000000000000000000000000

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