Finite Group Databasebeta

← Group #490132

Character table — Group #490132

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11112222444444444888888161616161616161616161616161616161616161616163232
order1222444424444888824448822244444888888161616161616161644
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
χ511111111111111111-1-1-1-11111-1-1-111-1-1-11111-1-1-1-11111-1-1
χ611111111111111111-1-1-1-11111-1-1-111-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111-1-1-1-111-1-1111-1-11-1-111111111-1-1-1-1-1-1
χ811111111111111111-1-1-1-111-1-1111-1-11-1-1-1-1-1-1-1-1-1-1111111
χ91111-1-111-11-1-1111111-1-11-1-11-111-11-1-11-111-1-111-1-111-1-11-1
χ101111-1-111-11-1-1111111-1-11-1-11-111-11-1-11-1-1-111-1-111-1-111-11
χ111111-1-111-11-1-1111111-1-11-1-1-11-1-11-1111-111-1-1-1-111-1-1111-1
χ121111-1-111-11-1-1111111-1-11-1-1-11-1-11-1111-1-1-11111-1-111-1-1-11
χ131111-1-111-11-1-111111-111-1-1-11-1-1-111-11-1111-1-1-1-11111-1-1-11
χ141111-1-111-11-1-111111-111-1-1-11-1-1-111-11-11-1-11111-1-1-1-1111-1
χ151111-1-111-11-1-111111-111-1-1-1-1111-1-11-1-1111-1-111-1-1-1-111-11
χ161111-1-111-11-1-111111-111-1-1-1-1111-1-11-1-11-1-111-1-11111-1-11-1
χ172222222222222-2-2-2-22222-2-200000000-2-200000000000000
χ182222222222222-2-2-2-2-2-2-2-2-2-2000000002200000000000000
χ1922222222-2-22-2-22-2-2200002-2002-2-20020000000000000000
χ2022222222-2-22-2-22-2-2200002-200-22200-20000000000000000
χ2122222222-2-22-2-2-222-20000-222-2000-2200000000000000000
χ2222222222-2-22-2-2-222-20000-22-220002-200000000000000000
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
χ272222-2-2222-2-22-22-2-220000-22002-2200-20000000000000000
χ282222-2-2222-2-22-22-2-220000-2200-22-20020000000000000000
χ292222-2-2222-2-22-2-222-200002-222000-2-200000000000000000
χ302222-2-2222-2-22-2-222-200002-2-2-20002200000000000000000
χ312222-2-222-22-2-22-2-2-2-22-2-222200000000-2200000000000000
χ322222-2-222-22-2-22-2-2-2-2-222-222000000002-200000000000000
χ332222-2-2-2-22-22-2200002-22-200000000000000002−2−222−2−2200
χ342222-2-2-2-22-22-2200002-22-20000000000000000−222−2−222−200
χ352222-2-2-2-22-22-220000-22-2200000000000000002−2−22−222−200
χ362222-2-2-2-22-22-220000-22-220000000000000000−222−22−2−2200
χ37444444-4-444-4-4-40000000000000000000000000000000000
χ384444-4-4-4-4-4444-40000000000000000000000000000000000
χ394-4-44004-400000400-400000000000000002i2−2i2000000000000
χ404-4-44004-400000400-40000000000000000−2i22i2000000000000
χ414-4-44004-400000-400400000000000000000022−220000000000
χ424-4-44004-400000-4004000000000000000000−22220000000000
χ4388-8-8000000000042−420000000000000000000000000000000
χ4488-8-80000000000−42420000000000000000000000000000000
χ458-88-88i−8i00000000000000000000000000000000000000000
χ468-88-8−8i8i00000000000000000000000000000000000000000
χ478-8-8800-88000000000000000000000000000000000000000

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