Finite Group Databasebeta

← Group #263839

Character table — Group #263839

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11112222222222444444444444888888888888888161616161616161616161616161616163232
order12224444448888244444448888248888888888888444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-11-1-11-1-1-1-111-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111111-1-1-1-111-111-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111-1-1-1-11111111-1-111111-1-1-1-1111111-111-1-1-1-1-1-1-11111-1-1
χ6111111111111111-1-1-1-11111111-1-111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111
χ7111111111111111-1-1-1-11111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111
χ8111111111111111-1-1-1-11111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1
χ91111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-111-1111-1-1-1-111-1-11-1
χ101111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-111-11
χ111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-111111-1-11-1-111-1-111-1-111-11
χ121111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-11111-11-1-11-1-1-1111111-1-11-1
χ131111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-11111-11111-1-1-1-11-1-11-1-1-1-1111111-1-1-11
χ141111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-11111-11111-1-1-1-1-11-1-11-111-1-111-1-1111-1
χ151111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1111111111-111-11-1-111-1-1-1-1111-1
χ161111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-111111111-111-11111-1-1-1-111-1-1-11
χ172222222-2-220000-222-2-2-2-220000-2222-2-200000000000200-2000000000000
χ182222222-2-220000-222-2-2-2-220000-22-2-22200000000000-2002000000000000
χ192222222-2-220000-2-2-222-2-2200002-222-2-200000000000-2002000000000000
χ202222222-2-220000-2-2-222-2-2200002-2-2-22200000000000200-2000000000000
χ2122222-2-22222222-200002-2-222-2-2000000-200000000220-2-20000000000000
χ2222222-2-22222222-200002-2-222-2-2000000-200000000-2-20220000000000000
χ2322222-2-2222-2-2-2-2-200002-2-2-2-2220000002000000002-20-220000000000000
χ2422222-2-2222-2-2-2-2-200002-2-2-2-222000000200000000-2202-20000000000000
χ252222-22222-22222-222-2-2-22-2-2-2222-20000-222-2-20000000000000000000000
χ262222-22222-22222-2-2-222-22-2-2-222-220000-2-2-2220000000000000000000000
χ272222-22222-2-2-2-2-2-222-2-2-22-222-2-22-200002-2-2220000000000000000000000
χ282222-22222-2-2-2-2-2-2-2-222-22-222-2-2-220000222-2-20000000000000000000000
χ292222-222-2-2-20000222222-2-20000-2-20000000002i2i−2i−2i00000000002i−2i000000
χ302222-222-2-2-20000222222-2-20000-2-2000000000−2i−2i2i2i0000000000−2i2i000000
χ312222-222-2-2-200002-2-2-2-22-2-20000220000000002i2i−2i−2i0000000000−2i2i000000
χ322222-222-2-2-200002-2-2-2-22-2-2000022000000000−2i−2i2i2i00000000002i−2i000000
χ332222-2-2-222-2222220000-2-22-2-2-2-20000002000000000000002-22-200000000
χ342222-2-2-222-2222220000-2-22-2-2-2-2000000200000000000000-22-2200000000
χ352222-2-2-222-2-2-2-2-220000-2-222222000000-2000000000000002-2-2200000000
χ362222-2-2-222-2-2-2-2-220000-2-222222000000-200000000000000-222-200000000
χ3744444-4-4-4-44000040000-44-40000000000000000000000000000000000000
χ384444-4-4-4-4-4-40000-400004440000000000000000000000000000000000000
χ3944-4-40004-4044-4-40000000000000000000000000000000000000002-22-200
χ4044-4-40004-4044-4-4000000000000000000000000000000000000000-22-2200
χ4144-4-40004-40-4-4440000000000000000000000000000000000000002-2-2200
χ4244-4-40004-40-4-444000000000000000000000000000000000000000-222-200
χ434-44-440000-422−2222−220000000022−2200000022−22000002-22-2000000000000000000
χ444-44-440000-422−2222−220000000022−22000000−222200000-22-22000000000000000000
χ454-44-440000-4−2222−222200000000−222200000022−2200000-22-22000000000000000000
χ464-44-440000-4−2222−222200000000−2222000000−2222000002-22-2000000000000000000
χ474-44-4-40000422−2222−2200000000−222200002i2−2i200000002i−2i−2i2i000000000000000000
χ484-44-4-40000422−2222−2200000000−22220000−2i22i20000000−2i2i2i−2i000000000000000000
χ494-44-4-400004−2222−22220000000022−2200002i2−2i20000000−2i2i2i−2i000000000000000000
χ504-44-4-400004−2222−22220000000022−220000−2i22i200000002i−2i−2i2i000000000000000000
χ514-4-4404-400022−22−22220004i−4i0000022−220000000002i2−2i20000000000000000000000
χ524-4-4404-400022−22−2222000−4i4i0000022−22000000000−2i22i20000000000000000000000
χ534-4-4404-4000−222222−220004i−4i00000−2222000000000−2i22i20000000000000000000000
χ544-4-4404-4000−222222−22000−4i4i00000−22220000000002i2−2i20000000000000000000000
χ554-4-440-4400022−22−222204i−4i0000000−222200000002i2−2i2000000000000000000000000
χ564-4-440-4400022−22−22220−4i4i0000000−22220000000−2i22i2000000000000000000000000
χ574-4-440-44000−222222−2204i−4i000000022−220000000−2i22i2000000000000000000000000
χ584-4-440-44000−222222−220−4i4i000000022−2200000002i2−2i2000000000000000000000000
χ5988-8-8000-8800000000000000000000000000000000000000000000000000

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