Finite Group Databasebeta

← Group #247659

Character table — Group #247659

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122222222444488888888888888888881616161616161616161616161616161616161616
order12222222444444444444222444444448888888822244444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-11-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-11111-1-1111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1
χ411111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111111-1-1-1-11111
χ5111111111111111111111-1-11111-1-11111111111-1-1-11-1-11-1-1-1-1-1-1-1-1-11111
χ6111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1111-1111111-1-1-1-1
χ7111111111111111111111-1-1-1-111-1-1-1-111111111-111-111-111-111-1-1-1-1-1-1-1-1
χ8111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-111111111
χ91111111111111111-1-111-11111-1-111-1-11111-1-1-1-1-1-1-1111-111-1-1-111-1-111-1-1
χ101111111111111111-1-111-11111-1-111-1-1-1-1-1-11111-1-1-1111-1-1-1-111-1-111-1-111
χ111111111111111111-1-111-111-1-1-1-111111111-1-1-1-1-111-1-1-11-1-1-11111-1-1-1-111
χ121111111111111111-1-111-111-1-1-1-11111-1-1-1-11111-111-1-1-1111-1-1-1-1-11111-1-1
χ131111111111111111-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1111-1-11111-1-1
χ141111111111111111-1-111-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1111-1-111-1-1-1-111
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-1111111-1-1-1-111-1-111
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1111-1-111111-1-111-1-1
χ172222222222-2-222-2-222-2-222200-2-2-2-20000000000-20000000020000000000
χ182222222222-2-222-2-222-2-22-2-200-2-2220000000000200000000-20000000000
χ192222222222-2-222-2-2-2-2-2-2-2220022-2-20000000000200000000-20000000000
χ202222222222-2-222-2-2-2-2-2-2-2-2-20022220000000000-20000000020000000000
χ2122222222-2-222-2-22222-2-2-200222-200-2-200000000000-20020000000000000
χ2222222222-2-222-2-22222-2-2-200-2-22-2002200000000000200-20000000000000
χ2322222222-2-222-2-222-2-2-2-220022-22002200000000000-200-20000000000000
χ2422222222-2-222-2-222-2-2-2-2200-2-2-2200-2-20000000000020020000000000000
χ2522222222-2-2-2-2-2-2-2-22222-20000-2200000000000002-202-200000000000000
χ2622222222-2-2-2-2-2-2-2-22222-20000-220000000000000-220-2200000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-222200002-200000000000002-20-2200000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222200002-20000000000000-2202-200000000000000
χ292-2-22-2-222-2-22-2222-2002-202-200002-2000000000000000000002-20000002-2
χ302-2-22-2-222-2-22-2222-2002-202-200002-200000000000000000000-22000000-22
χ312-2-22-2-222-2-22-2222-2002-20-220000-22000000000000000000002-2000000-22
χ322-2-22-2-222-2-22-2222-2002-20-220000-2200000000000000000000-220000002-2
χ332-2-22-2-222-2-2-2222-2200-2202-20000-22000000000000000002-200000002-200
χ342-2-22-2-222-2-2-2222-2200-2202-20000-2200000000000000000-220000000-2200
χ352-2-22-2-222-2-2-2222-2200-220-2200002-2000000000000000002-20000000-2200
χ362-2-22-2-222-2-2-2222-2200-220-2200002-200000000000000000-2200000002-200
χ374444-4-4-4-44-4004-400000000000000000000000000000000000000022−220000
χ384444-4-4-4-44-4004-4000000000000000000000000000000000000000−22220000
χ394444-4-4-4-4-4400-44000000000000000000000000000000000000022−22000000
χ404444-4-4-4-4-4400-440000000000000000000000000000000000000−2222000000
χ4144-4-44-44-4000000004i−4i00000000000002i2i−2i−2i22-2-200000000000000000000
χ4244-4-44-44-4000000004i−4i0000000000000−2i−2i2i2i-2-22200000000000000000000
χ4344-4-44-44-400000000−4i4i00000000000002i2i−2i−2i-2-22200000000000000000000
χ4444-4-44-44-400000000−4i4i0000000000000−2i−2i2i2i22-2-200000000000000000000
χ4544-4-4-44-44004-400-4400000004-40000000000000000000000000000000000
χ4644-4-4-44-44004-400-440000000-440000000000000000000000000000000000
χ4744-4-4-44-4400-44004-400000000000004-40000000000000000000000000000
χ4844-4-4-44-4400-44004-40000000000000-440000000000000000000000000000
χ494-44-44-4-44004400-4-400000000000000000002i2−2i22i2−2i200000000000000000000
χ504-44-44-4-44004400-4-40000000000000000000−2i22i2−2i22i200000000000000000000
χ514-44-44-4-4400-4-4004400000000000000022−2222−22000000000000000000000000
χ524-44-44-4-4400-4-40044000000000000000−2222−2222000000000000000000000000
χ534-4-4444-4-44-400-44000000000000000002i2−2i2−2i22i2000000000000000000000000
χ544-4-4444-4-44-400-4400000000000000000−2i22i22i2−2i2000000000000000000000000
χ554-4-4444-4-4-44004-40000000000000000000002i2−2i2−2i22i200000000000000000000
χ564-4-4444-4-4-44004-4000000000000000000000−2i22i22i2−2i200000000000000000000
χ574-4-44-4-444444-4-4-44-400-44000000000000000000000000000000000000000
χ584-4-44-4-44444-44-4-4-44004-4000000000000000000000000000000000000000
χ598-88-8-888-8000000000000000000000000000000000000000000000000000

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