Finite Group Databasebeta

← Group #263822

Character table — Group #263822

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11112222222222444444444444888888888888888161616161616161616161616161616163232
order12224444448888244444448888248888888888888222224444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111111-1-1-1-1-1111111-111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-1-1-1111111-1-11111-1-11-1-11111-11111-1-1-1-1-1-1-1-1-1-1-111
χ61111111111111111-1-1-1-1111111-1-11111-1-11-1-11111-1-1-1-1-111-111-1-11111-1-1
χ71111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-111111-1-11-1-1111111-1-1
χ81111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-1-1-11111111-1-1-1-111
χ91111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-11-111-1-1-111-1-11-1
χ101111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-111-111-11-1-1-1-111-11
χ111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-11111-111-1-11-1-11-111-1-111-11
χ121111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-111-11-1-111111-1-11-1
χ131111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-111-1-1-1-1-111-1-1-11-1-1111-1-1111-1
χ141111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-111-1-1-1-1-1-1-1111-1-11-11111-1-1-11
χ151111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1111111111-1-1-111-11-1-111-1-1-11
χ161111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-11111111-1-1111-111-1-1-1-1-1111-1
χ172222222-22-20000-2-222-2-2-2200002-222-2-20000000002000000-20000000000
χ182222222-22-20000-2-222-2-2-2200002-2-2-222000000000-200000020000000000
χ192222222-22-20000-2-2-2-222-220000-2222-2-2000000000-200000020000000000
χ202222222-22-20000-2-2-2-222-220000-22-2-2220000000002000000-20000000000
χ2122222-2-22222222-220000-2-222-2-200000000-200000000000220-2-200000000
χ2222222-2-22222222-220000-2-222-2-200000000-200000000000-2-202200000000
χ2322222-2-2222-2-2-2-2-220000-2-2-2-222000000002000000000002-20-2200000000
χ2422222-2-2222-2-2-2-2-220000-2-2-2-22200000000200000000000-2202-200000000
χ252222-2222-222222-2-222-2-22-2-2-222-22000022-2-2-20000000000000000000000
χ262222-2222-222222-2-2-2-2222-2-2-2222-20000-2-2-2220000000000000000000000
χ272222-2222-22-2-2-2-2-2-222-2-22-222-2-2-220000-2-22220000000000000000000000
χ282222-2222-22-2-2-2-2-2-2-2-2222-222-2-22-20000222-2-20000000000000000000000
χ292222-222-2-2-20000222222-2-20000-2-20000000002i2i−2i−2i00000000002i−2i000000
χ302222-222-2-2-20000222222-2-20000-2-2000000000−2i−2i2i2i0000000000−2i2i000000
χ312222-222-2-2-2000022-2-2-2-2-2-20000220000000002i2i−2i−2i0000000000−2i2i000000
χ322222-222-2-2-2000022-2-2-2-2-2-2000022000000000−2i−2i2i2i00000000002i−2i000000
χ332222-2-2-22-2222222-20000-22-2-2-2-200000000200000002-22-20000000000000
χ342222-2-2-22-2222222-20000-22-2-2-2-20000000020000000-22-220000000000000
χ352222-2-2-22-22-2-2-2-22-20000-22222200000000-200000002-2-220000000000000
χ362222-2-2-22-22-2-2-2-22-20000-22222200000000-20000000-222-20000000000000
χ3744444-4-4-44-400004-400004-40000000000000000000000000000000000000
χ384444-4-4-4-4-4-40000-440000440000000000000000000000000000000000000
χ3944-4-404-40002222−22−2200004i−4i000022−220000000002i2−2i20000000000000000000000
χ4044-4-404-40002222−22−220000−4i4i000022−22000000000−2i22i20000000000000000000000
χ4144-4-404-4000−22−22222200004i−4i0000−2222000000000−2i22i20000000000000000000000
χ4244-4-404-4000−22−2222220000−4i4i0000−22220000000002i2−2i20000000000000000000000
χ4344-4-40-440002222−22−22004i−4i000000−22220000002i2−2i20000000000000000000000000
χ4444-4-40-440002222−22−2200−4i4i000000−2222000000−2i22i20000000000000000000000000
χ4544-4-40-44000−22−222222004i−4i00000022−22000000−2i22i20000000000000000000000000
χ4644-4-40-44000−22−22222200−4i4i00000022−220000002i2−2i20000000000000000000000000
χ474-44-44000-4022−2222−220000000022−220000002i2−2i2000002i−2i2i−2i000000000000000000
χ484-44-44000-4022−2222−220000000022−22000000−2i22i200000−2i2i−2i2i000000000000000000
χ494-44-44000-40−2222−222200000000−22220000002i2−2i200000−2i2i−2i2i000000000000000000
χ504-44-44000-40−2222−222200000000−2222000000−2i22i2000002i−2i2i−2i000000000000000000
χ514-44-4-40004022−2222−2200000000−2222000022−2200000002-2-22000000000000000000
χ524-44-4-40004022−2222−2200000000−22220000−22220000000-222-2000000000000000000
χ534-44-4-400040−2222−22220000000022−22000022−220000000-222-2000000000000000000
χ544-44-4-400040−2222−22220000000022−220000−222200000002-2-22000000000000000000
χ554-4-44000-4044-4-440000000000000000000000000000000000000002-22-200
χ564-4-44000-4044-4-44000000000000000000000000000000000000000-22-2200
χ574-4-44000-404-444-40000000000000000000000000000000000000002-2-2200
χ584-4-44000-404-444-4000000000000000000000000000000000000000-222-200
χ598-8-8800080-80000000000000000000000000000000000000000000000000

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