Finite Group Databasebeta

← Group #490301

Character table — Group #490301

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11112222444444444888888161616161616161616161616161616161616161616163232
order1222224444444888822448822444444888888161616161616161644
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ411111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1
χ511111111111111111-1-1-1-1111-11-11-11-1-1-111111111-1-1-1-1-1-1
χ611111111111111111-1-1-1-1111-11-11-11-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111-1-1-1-111-11-11-11-11-1-11111-1-1-1-11111-1-1
χ811111111111111111-1-1-1-111-11-11-11-11-1-1-1-1-1-11111-1-1-1-111
χ91111-1-1111-1-1-1111111-11-1-1-1111-1-11-1-11-111-1-111-1-111-1-11-1
χ101111-1-1111-1-1-1111111-11-1-1-1111-1-11-1-11-1-1-111-1-111-1-111-11
χ111111-1-1111-1-1-1111111-11-1-1-1-1-1-111-1111-111-1-1-1-111-1-1111-1
χ121111-1-1111-1-1-1111111-11-1-1-1-1-1-111-1111-1-1-11111-1-111-1-1-11
χ131111-1-1111-1-1-111111-11-11-1-11-111-1-1-11-1111-1-111-1-1-1-111-11
χ141111-1-1111-1-1-111111-11-11-1-11-111-1-1-11-11-1-111-1-11111-1-11-1
χ151111-1-1111-1-1-111111-11-11-1-1-11-1-1111-1-1111-1-1-1-11111-1-1-11
χ161111-1-1111-1-1-111111-11-11-1-1-11-1-1111-1-11-1-11111-1-1-1-1111-1
χ172222222222222-2-2-2-22222-2-200000000-2-200000000000000
χ182222222222222-2-2-2-2-2-2-2-2-2-2000000002200000000000000
χ1922222222-2-22-2-222-2-200002-2020-20-2020000000000000000
χ2022222222-2-22-2-222-2-200002-20-202020-20000000000000000
χ2122222222-2-22-2-2-2-2220000-2220-20-20200000000000000000
χ2222222222-2-22-2-2-2-2220000-22-202020-200000000000000000
χ23222222-2-2-2-2-222000022-2-200000000000000002−22−22−22−200
χ24222222-2-2-2-2-222000022-2-20000000000000000−22−22−22−2200
χ25222222-2-2-2-2-2220000-2-22200000000000000002−22−2−22−2200
χ26222222-2-2-2-2-2220000-2-2220000000000000000−22−222−22−200
χ272222-2-2222-2-2-22-2-2-2-22-22-22200000000-2200000000000000
χ282222-2-2222-2-2-22-2-2-2-2-22-2222000000002-200000000000000
χ292222-2-222-22-22-222-2-20000-2202020-20-20000000000000000
χ302222-2-222-22-22-222-2-20000-220-20-202020000000000000000
χ312222-2-222-22-22-2-2-22200002-220-2020-200000000000000000
χ322222-2-222-22-22-2-2-22200002-2-2020-20200000000000000000
χ332222-2-2-2-2-222-2200002-2-2200000000000000002−2−222−2−2200
χ342222-2-2-2-2-222-2200002-2-220000000000000000−222−2−222−200
χ352222-2-2-2-2-222-220000-222-200000000000000002−2−22−222−200
χ362222-2-2-2-2-222-220000-222-20000000000000000−222−22−2−2200
χ37444444-4-444-4-4-40000000000000000000000000000000000
χ384444-4-4-4-44-444-40000000000000000000000000000000000
χ394-44-400-4400000004-40000000000000000002i2−2i20000000000
χ404-44-400-4400000004-4000000000000000000−2i22i20000000000
χ414-44-400-440000000-4400000000000000002i2−2i2000000000000
χ424-44-400-440000000-440000000000000000−2i22i2000000000000
χ4388-8-800000000042−4200000000000000000000000000000000
χ4488-8-8000000000−424200000000000000000000000000000000
χ458-88-8008-8000000000000000000000000000000000000000
χ468-8-888-800000000000000000000000000000000000000000
χ478-8-88-8800000000000000000000000000000000000000000

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