Finite Group Databasebeta

← Group #143672

Character table — Group #143672

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size111122222244444444888888888816161616161616163232323232323232
order1222444444244488888888888888161616161616161622444488
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111-111-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1111
χ511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-111-11-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-11-111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-1
χ922222222222222-2-2-2-2-2-22222-2-2-2-20000000000000000
χ1022222222222222-2-2-2-2-2-2-2-2-2-222220000000000000000
χ1122222222-2-2-22-2-22222-2-2000000000000000000200-200
χ1222222222-2-2-22-2-22222-2-2000000000000000000-200200
χ1322222222-2-2-22-2-2-2-2-2-22200000000000000000000002i−2i
χ1422222222-2-2-22-2-2-2-2-2-2220000000000000000000000−2i2i
χ15222222-2-222-2-22-2000000000022-2-222−2−222−2−200000000
χ16222222-2-222-2-22-2000000000022-2-2−2−222−2−22200000000
χ17222222-2-222-2-22-20000000000-2-22222−2−2−2−22200000000
χ18222222-2-222-2-22-20000000000-2-222−2−22222−2−200000000
χ192222-2-222222-2-2-222-2-22-20000000000002-22-200000000
χ202222-2-222222-2-2-222-2-22-2000000000000-22-2200000000
χ212222-2-222222-2-2-2-2-222-22000000002-22-2000000000000
χ222222-2-222222-2-2-2-2-222-2200000000-22-22000000000000
χ232222-2-222-2-2-2-22222-2-2-2200000000000000000200-2000
χ242222-2-222-2-2-2-22222-2-2-2200000000000000000-2002000
χ252222-2-222-2-2-2-222-2-2222-20000000000000000200-20000
χ262222-2-222-2-2-2-222-2-2222-20000000000000000-20020000
χ272222-2-2-2-222-22-2200000022-2-200002−2−222−2−2200000000
χ282222-2-2-2-222-22-2200000022-2-20000−222−2−222−200000000
χ292222-2-2-2-222-22-22000000-2-22200002−2−22−222−200000000
χ302222-2-2-2-222-22-22000000-2-2220000−222−22−2−2200000000
χ31444444-4-4-4-44-4-44000000000000000000000000000000
χ324444-4-4-4-4-4-4444-4000000000000000000000000000000
χ334-4-444-40000000022−2222−22002-22-20022−220000000000000000
χ344-4-444-40000000022−2222−2200-22-2200−22220000000000000000
χ354-4-444-400000000−2222−2222002-22-200−22220000000000000000
χ364-4-444-400000000−2222−222200-22-220022−220000000000000000
χ374-4-44-440000000022−22−2222002-2-2222−22000000000000000000
χ384-4-44-440000000022−22−222200-222-2−2222000000000000000000
χ394-4-44-4400000000−222222−22002-2-22−2222000000000000000000
χ404-4-44-4400000000−222222−2200-222-222−22000000000000000000
χ4188-8-8008-8000000000000000000000000000000000000
χ4288-8-800-88000000000000000000000000000000000000
χ438-88-800008i−8i0000000000000000000000000000000000
χ448-88-80000−8i8i0000000000000000000000000000000000

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