Finite Group Databasebeta

← Group #14518163

Character table — Group #14518163

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1113336999999999991212181818182424272727272727272727272736363636545454727272727272108108108108108108
order13326632669918181818181833333633266181818181818181899996663333336618181818
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111−1+i32−1−i321111−1+i32−1−i3211111111111−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ3111111111111111111−1−i32−1+i321111−1−i32−1+i3211111111111−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ41111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32
χ51111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211−1+i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i32−1−i3211−1+i32
χ61111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i32−1−i321−1−i32−1+i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i32−1+i321−1+i32−1−i321
χ71111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32
χ81111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i32−1+i321−1+i32−1−i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i32−1−i321−1−i32−1+i321
χ91111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211−1−i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i32−1+i3211−1−i32
χ101111111-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1
χ111111111-1-1-111111111−1+i32−1−i321111−1+i32−1−i32-1-1-1-1-1-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321+i321−i321−i321+i321+i32
χ121111111-1-1-111111111−1−i32−1+i321111−1−i32−1+i32-1-1-1-1-1-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321−i321+i321+i321−i321−i32
χ131111111-1-1-1−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1−i32111-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321+i321−i321+i32
χ141111111-1-1-1−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1−i3211−1+i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321−i321+i321+i32-1-11−i32
χ151111111-1-1-1−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i32−1−i321−1−i32−1+i32-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−1+i32−1−i3211−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3211+i321−i32-11−i321+i32-1
χ161111111-1-1-1−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1+i32111-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321−i321+i321−i32
χ171111111-1-1-1−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i32−1+i321−1+i32−1−i32-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321−1−i32−1+i3211−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211−i321+i32-11+i321−i32-1
χ181111111-1-1-1−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1+i3211−1−i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321+i321−i321−i32-1-11+i32
χ1922222220002222222222-1-1-1222000000000002222-1-1-1-1-1-1-1-1-1000000
χ20222222200022222222−1+i3−1−i3-1-1-12−1+i3−1−i300000000000−1+i3−1+i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32000000
χ21222222200022222222−1−i3−1+i3-1-1-12−1−i3−1+i300000000000−1−i3−1−i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32000000
χ222222222000−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322-11−i321+i3222200000000000−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i32-11−i321+i32000000
χ232222222000−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1−i3-11−i321+i322−1+i3−1−i300000000000−1−i322−1+i3-11−i321+i321−i321+i32-11+i32-11−i32000000
χ242222222000−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i3-11−i321+i322−1−i3−1+i3000000000002−1+i3−1−i32-11−i321+i321+i32-11−i321−i321+i32-1000000
χ252222222000−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322-11+i321−i3222200000000000−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i32-11+i321−i32000000
χ262222222000−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−i3-11+i321−i322−1+i3−1−i3000000000002−1−i3−1+i32-11+i321−i321−i32-11+i321+i321−i32-1000000
χ272222222000−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1+i3-11+i321−i322−1−i3−1+i300000000000−1+i322−1−i3-11+i321−i321+i321−i32-11−i32-11+i32000000
χ28333-1-1-1333333-1-1-1-1-1-100333-100-1-1-13-1-1-13-1-1-10000-1-1-1000000000000
χ29333-1-1-13333−3+3i32−3−3i321−i321−i321−i321+i321+i321+i32003−3+3i32−3−3i32-100-1-1-1−3+3i321−i321−i321−i32−3−3i321+i321+i321+i320000-11−i321+i32000000000000
χ30333-1-1-13333−3−3i32−3+3i321+i321+i321+i321−i321−i321−i32003−3−3i32−3+3i32-100-1-1-1−3−3i321+i321+i321+i32−3+3i321−i321−i321−i320000-11+i321−i32000000000000
χ31333-1-1-13-3-3-333-1-1-1-1-1-100333-100111-3111-31110000-1-1-1000000000000
χ32333-1-1-13-3-3-3−3+3i32−3−3i321−i321−i321−i321+i321+i321+i32003−3+3i32−3−3i32-1001113−3i32−1+i32−1+i32−1+i323+3i32−1−i32−1−i32−1−i320000-11−i321+i32000000000000
χ33333-1-1-13-3-3-3−3−3i32−3+3i321+i321+i321+i321−i321−i321−i32003−3−3i32−3+3i32-1001113+3i32−1−i32−1−i32−1−i323−3i32−1+i32−1+i32−1+i320000-11+i321−i32000000000000
χ34666666-30000000000066000-3-3-3000000000000000000000000000000
χ35666666-300000000000−3+3i3−3−3i3000-33−3i323+3i32000000000000000000000000000000
χ36666666-300000000000−3−3i3−3+3i3000-33+3i323−3i32000000000000000000000000000000
χ37666-2-2-2600066-2-2-2-2-2-200-3-3-3-200000000000000000111000000000000
χ38666-2-2-26000−3+3i3−3−3i31−i31−i31−i31+i31+i31+i300-33−3i323+3i32-2000000000000000001−1+i32−1−i32000000000000
χ39666-2-2-26000−3−3i3−3+3i31+i31+i31+i31−i31−i31−i300-33+3i323−3i32-2000000000000000001−1−i32−1+i32000000000000
χ409−9+9i32−9−9i329−9+9i32−9−9i3203−3+3i32−3−3i3200000000000000003−3+3i32−3−3i32000000000000000000000000000
χ419−9+9i32−9−9i329−9+9i32−9−9i320-33−3i323+3i320000000000000000-33−3i323+3i32000000000000000000000000000
χ429−9+9i32−9−9i32-33−3i323+3i3203−3+3i32−3−3i32002ζ+4ζ42ζ−2ζ4−4ζ−2ζ44ζ2+2ζ5−2ζ2+2ζ5−2ζ2−4ζ500000000-11−i321+i3202ζ2ζ42ζ702ζ22ζ52ζ80000000000000000000
χ439−9+9i32−9−9i32-33−3i323+3i3203−3+3i32−3−3i32002ζ−2ζ4−4ζ−2ζ42ζ+4ζ4−2ζ2+2ζ5−2ζ2−4ζ54ζ2+2ζ500000000-11−i321+i3202ζ72ζ2ζ402ζ52ζ82ζ20000000000000000000
χ449−9+9i32−9−9i32-33−3i323+3i3203−3+3i32−3−3i3200−4ζ−2ζ42ζ+4ζ42ζ−2ζ4−2ζ2−4ζ54ζ2+2ζ5−2ζ2+2ζ500000000-11−i321+i3202ζ42ζ72ζ02ζ82ζ22ζ50000000000000000000
χ459−9+9i32−9−9i32-33−3i323+3i320-33−3i323+3i32002ζ+4ζ42ζ−2ζ4−4ζ−2ζ44ζ2+2ζ5−2ζ2+2ζ5−2ζ2−4ζ5000000001−1+i32−1−i320−2ζ−2ζ4−2ζ70−2ζ2−2ζ5−2ζ80000000000000000000
χ469−9+9i32−9−9i32-33−3i323+3i320-33−3i323+3i32002ζ−2ζ4−4ζ−2ζ42ζ+4ζ4−2ζ2+2ζ5−2ζ2−4ζ54ζ2+2ζ5000000001−1+i32−1−i320−2ζ7−2ζ−2ζ40−2ζ5−2ζ8−2ζ20000000000000000000
χ479−9+9i32−9−9i32-33−3i323+3i320-33−3i323+3i3200−4ζ−2ζ42ζ+4ζ42ζ−2ζ4−2ζ2−4ζ54ζ2+2ζ5−2ζ2+2ζ5000000001−1+i32−1−i320−2ζ4−2ζ7−2ζ0−2ζ8−2ζ2−2ζ50000000000000000000
χ489−9−9i32−9+9i329−9−9i32−9+9i3203−3−3i32−3+3i3200000000000000003−3−3i32−3+3i32000000000000000000000000000
χ499−9−9i32−9+9i329−9−9i32−9+9i320-33+3i323−3i320000000000000000-33+3i323−3i32000000000000000000000000000
χ509−9−9i32−9+9i32-33+3i323−3i3203−3−3i32−3+3i32004ζ2+2ζ5−2ζ2+2ζ5−2ζ2−4ζ52ζ−2ζ4−4ζ−2ζ42ζ+4ζ400000000-11+i321−i3202ζ52ζ22ζ802ζ2ζ72ζ40000000000000000000
χ519−9−9i32−9+9i32-33+3i323−3i3203−3−3i32−3+3i3200−2ζ2+2ζ5−2ζ2−4ζ54ζ2+2ζ5−4ζ−2ζ42ζ+4ζ42ζ−2ζ400000000-11+i321−i3202ζ82ζ52ζ202ζ72ζ42ζ0000000000000000000
χ529−9−9i32−9+9i32-33+3i323−3i3203−3−3i32−3+3i3200−2ζ2−4ζ54ζ2+2ζ5−2ζ2+2ζ52ζ+4ζ42ζ−2ζ4−4ζ−2ζ400000000-11+i321−i3202ζ22ζ82ζ502ζ42ζ2ζ70000000000000000000
χ539−9−9i32−9+9i32-33+3i323−3i320-33+3i323−3i32004ζ2+2ζ5−2ζ2+2ζ5−2ζ2−4ζ52ζ−2ζ4−4ζ−2ζ42ζ+4ζ4000000001−1−i32−1+i320−2ζ5−2ζ2−2ζ80−2ζ−2ζ7−2ζ40000000000000000000
χ549−9−9i32−9+9i32-33+3i323−3i320-33+3i323−3i3200−2ζ2+2ζ5−2ζ2−4ζ54ζ2+2ζ5−4ζ−2ζ42ζ+4ζ42ζ−2ζ4000000001−1−i32−1+i320−2ζ8−2ζ5−2ζ20−2ζ7−2ζ4−2ζ0000000000000000000
χ559−9−9i32−9+9i32-33+3i323−3i320-33+3i323−3i3200−2ζ2−4ζ54ζ2+2ζ5−2ζ2+2ζ52ζ+4ζ42ζ−2ζ4−4ζ−2ζ4000000001−1−i32−1+i320−2ζ2−2ζ8−2ζ50−2ζ4−2ζ−2ζ70000000000000000000
χ56181818-6-6-6-90000000000000000300000000000000000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.