Finite Group Databasebeta

← Group #489381

Character table — Group #489381

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1111222222224444444448888888888888888888881616161616161616161632323232
order122244448888244448888244481616161616161616161616161616161622444444882288
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111
χ6111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ7111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1
χ8111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111
χ9111111111111-1-11-1-1-1-1111-1-11-11111-1-1-1-11111-1-1-1-1111-1-1-11-11-11-11-1
χ10111111111111-1-11-1-1-1-1111-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1111-111-1-11-11
χ11111111111111-1-11-1-1-1-1111-1-11-1-1-1-1-11111-1-1-1-11111111-1-1-11-11-1-11-11
χ12111111111111-1-11-1-1-1-1111-1-11-1-1-1-1-11111-1-1-1-11111-1-1-1111-111-11-11-1
χ13111111111111-1-11-1-1-1-111-111-1-11111-1-1-1-1-1-1-1-1111111-11-1-1-11-11-111-1
χ14111111111111-1-11-1-1-1-111-111-1-11111-1-1-1-1-1-1-1-11111-1-11-1111-1-111-1-11
χ15111111111111-1-11-1-1-1-111-111-1-1-1-1-1-111111111-1-1-1-111-11-1-1-11-111-1-11
χ16111111111111-1-11-1-1-1-111-111-1-1-1-1-1-111111111-1-1-1-1-1-11-1111-1-11-111-1
χ1722222222-2-2-2-222222-2-2-2-22222-2000000000000000000000000-2-20000
χ1822222222-2-2-2-222222-2-2-2-2-2-2-2-2-2000000000000000000000000220000
χ1922222222-2-2-2-2-2-22-2-222-2-22-2-222000000000000000000000000-220000
χ2022222222-2-2-2-2-2-22-2-222-2-2-222-220000000000000000000000002-20000
χ21222222-2-2000022-2-2-200002-22-2022−2−222−2−222−2−222−2−200000000000000
χ22222222-2-2000022-2-2-200002-22-20−2−222−2−222−2−222−2−22200000000000000
χ23222222-2-2000022-2-2-20000-22-22022−2−222−2−2−2−222−2−22200000000000000
χ24222222-2-2000022-2-2-20000-22-220−2−222−2−22222−2−222−2−200000000000000
χ25222222-2-20000-2-2-222000022-2-2022−2−2−2−22222−2−2−2−22200000000000000
χ26222222-2-20000-2-2-222000022-2-20−2−22222−2−2−2−22222−2−200000000000000
χ27222222-2-20000-2-2-2220000-2-222022−2−2−2−222−2−22222−2−200000000000000
χ28222222-2-20000-2-2-2220000-2-2220−2−22222−2−222−2−2−2−22200000000000000
χ292222-2-22222222-2-2-22-2-2-2-2000020000000000000000002-200-22000000
χ302222-2-22222222-2-2-22-2-2-2-200002000000000000000000-22002-2000000
χ312222-2-2222222-22-22-222-2-20000-20000000000000000002200-2-2000000
χ322222-2-2222222-22-22-222-2-20000-2000000000000000000-2-20022000000
χ332222-2-222-2-2-2-22-2-2-2222220000-200000000000000002-2002-200000000
χ342222-2-222-2-2-2-22-2-2-2222220000-20000000000000000-2200-2200000000
χ352222-2-222-2-2-2-2-22-22-2-2-2220000200000000000000002-200-2200000000
χ362222-2-222-2-2-2-2-22-22-2-2-222000020000000000000000-22002-200000000
χ374444-4-4-4-400004-444-4000000000000000000000000000000000000000
χ384444-4-4-4-40000-444-44000000000000000000000000000000000000000
χ3944-4-44-4002222−22−22000000022−220000000002ζ+2ζ7−2ζ−2ζ72ζ3+2ζ5−2ζ3−2ζ50000000000000000000000
χ4044-4-44-4002222−22−22000000022−22000000000−2ζ−2ζ72ζ+2ζ7−2ζ3−2ζ52ζ3+2ζ50000000000000000000000
χ4144-4-44-400−22−2222220000000−22220000000002ζ3+2ζ5−2ζ3−2ζ5−2ζ−2ζ72ζ+2ζ70000000000000000000000
χ4244-4-44-400−22−2222220000000−2222000000000−2ζ3−2ζ52ζ3+2ζ52ζ+2ζ7−2ζ−2ζ70000000000000000000000
χ4344-4-4-44002222−22−220000000−2222000002ζ+2ζ7−2ζ−2ζ72ζ3+2ζ5−2ζ3−2ζ500000000000000000000000000
χ4444-4-4-44002222−22−220000000−222200000−2ζ−2ζ72ζ+2ζ7−2ζ3−2ζ52ζ3+2ζ500000000000000000000000000
χ4544-4-4-4400−22−222222000000022−22000002ζ3+2ζ5−2ζ3−2ζ5−2ζ−2ζ72ζ+2ζ700000000000000000000000000
χ4644-4-4-4400−22−222222000000022−2200000−2ζ3−2ζ52ζ3+2ζ52ζ+2ζ7−2ζ−2ζ700000000000000000000000000
χ474-4-44004-40000000004-40000000000000002-22-22-22-200000000000000
χ484-4-44004-40000000004-4000000000000000-22-22-22-2200000000000000
χ494-4-44004-4000000000-440000000000000002-22-2-22-2200000000000000
χ504-4-44004-4000000000-44000000000000000-22-222-22-200000000000000
χ514-4-4400-444-44-4000000000000000000000022−22−2222000000000000000000
χ524-4-4400-444-44-40000000000000000000000−222222−22000000000000000000
χ534-4-4400-44-44-440000000000000000000000000022−22−222200000000000000
χ544-4-4400-44-44-4400000000000000000000000000−222222−2200000000000000
χ558-88-8000042−42−424200000000000000000000000000000000000000000000
χ568-88-80000−424242−4200000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 16 (ζ16 = 1).