Finite Group Databasebeta

← Group #23989

Character table — Group #23989

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11112222224444444488888888888888888816161616
order1222222222444444442244444444444444444444
χ11111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-11-1-1-111-1-11-111-1-111-1-111-1-1
χ611111111111111-1-1-1-11-1-1-111-1-11-1-1-111-1-111-1-111
χ711111111111111-1-1-1-1-11-1-1-1-111-1111-1-111-1-1-1-111
χ811111111111111-1-1-1-1-11-1-1-1-111-11-1-111-1-11111-1-1
χ91111111111-1-1-1-111111-1-1-1-1-1111-11111-1-1-1-11-11-1
χ101111111111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-11111-11-11
χ111111111111-1-1-1-11111-11-1-111-1-1-111111-1-1-1-1-11-11
χ121111111111-1-1-1-11111-11-1-111-1-1-11-1-1-1-111111-11-1
χ131111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-11
χ141111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-111-1
χ151111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-111-1
χ161111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11-1-11
χ1722222-2-2-2-2222-2-222-2-2002-2000000000000000000
χ1822222-2-2-2-2222-2-2-2-22200-22000000000000000000
χ1922222-2-2-2-22-2-22222-2-200-22000000000000000000
χ2022222-2-2-2-22-2-222-2-222002-2000000000000000000
χ212222-222-2-2-200002-22-202002-2000-2000000000000
χ222222-222-2-2-200002-22-20-200-220002000000000000
χ232222-222-2-2-20000-22-220200-22000-2000000000000
χ242222-222-2-2-20000-22-220-2002-20002000000000000
χ252222-2-2-222-200002-2-222000002-2-20000000000000
χ262222-2-2-222-200002-2-22-200000-2220000000000000
χ272222-2-2-222-20000-222-2200000-22-20000000000000
χ282222-2-2-222-20000-222-2-2000002-220000000000000
χ292-2-2222-22-2-22i−2i2i−2i00000000000000002-2002i−2i0000
χ302-2-2222-22-2-22i−2i2i−2i0000000000000000-2200−2i2i0000
χ312-2-2222-22-2-2−2i2i−2i2i00000000000000002-200−2i2i0000
χ322-2-2222-22-2-2−2i2i−2i2i0000000000000000-22002i−2i0000
χ332-2-222-22-22-22i−2i−2i2i000000000000002-2002i−2i000000
χ342-2-222-22-22-22i−2i−2i2i00000000000000-2200−2i2i000000
χ352-2-222-22-22-2−2i2i2i−2i000000000000002-200−2i2i000000
χ362-2-222-22-22-2−2i2i2i−2i00000000000000-22002i−2i000000
χ374-4-44-44-4-444000000000000000000000000000000
χ384-4-44-4-444-44000000000000000000000000000000
χ3988-8-8000000000000000000000000000000000000
χ408-88-8000000000000000000000000000000000000

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