Finite Group Databasebeta

← Group #13090773

Character table — Group #13090773

Order 1458.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11122266666699181818181818181818181818181818181818182727272727272727275454548181818181818181
order13333333333333399999999999999999926699999999966181818181818
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1111111111-1-1-1-1-1-1-1-1
χ3111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ4111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111-1-11−i321−i321−i321+i321+i321+i32
χ5111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ6111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111-1-11+i321+i321+i321−i321−i321−i32
χ7111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ8111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-11−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−i321+i32-11−i321+i32-11−i321+i32
χ9111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32111−1+i32−1−i321−1−i321−1+i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ10111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32-1-1-1−1+i32−1−i321−1−i321−1+i321−1+i32−1−i321−i321+i321−i321+i32-11+i32-11−i32
χ11111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ12111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111-1-1-1−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i321−i321+i321+i32-11−i321−i321+i32-1
χ13111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ14111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-11−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321+i321−i32-11+i321−i32-11+i321−i32
χ15111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ16111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111-1-1-1−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i321+i321−i321−i32-11+i321+i321−i32-1
χ17111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32111−1−i32−1+i321−1+i321−1−i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ18111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32-1-1-1−1−i32−1+i321−1+i321−1−i321−1−i32−1+i321+i321−i321+i321−i32-11−i32-11+i32
χ19222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000222222-1-1-100000000
χ202222222222222221−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-100000000
χ212222222222222221+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-100000000
χ22222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1−i32-1-1-11−i321−i321−i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i320002−1+i3−1−i32−1+i3−1−i3-11−i321+i3200000000
χ23222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1−i321−i321−i321−i321+i321+i321+i32-1-1-11+i321+i321+i32-1-1-11−i321−i321−i32000−1+i3−1−i32−1−i32−1+i3-11−i321+i3200000000
χ24222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1−i321+i321+i321+i32-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i32-1-1-1000−1−i32−1+i3−1+i3−1−i32-11−i321+i3200000000
χ25222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1+i32-1-1-11+i321+i321+i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i320002−1−i3−1+i32−1−i3−1+i3-11+i321−i3200000000
χ26222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1+i321−i321−i321−i32-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i32-1-1-1000−1+i32−1−i3−1−i3−1+i32-11+i321−i3200000000
χ27222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1+i321+i321+i321+i321−i321−i321−i32-1-1-11−i321−i321−i32-1-1-11+i321+i321+i32000−1−i3−1+i32−1+i32−1−i3-11+i321−i3200000000
χ28666666-3-3-3-3-3-366-300000000000000000000000000000000000000
χ296666663−3i323−3i323−3i323+3i323+3i323+3i32−3+3i3−3−3i3-300000000000000000000000000000000000000
χ306666663+3i323+3i323+3i323−3i323−3i323−3i32−3−3i3−3+3i3-300000000000000000000000000000000000000
χ316−3+3i3−3−3i33−3i323+3i32-33−3+3i32−3−3i323−3+3i32−3−3i32000ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ500000000000000000000
χ326−3+3i3−3−3i33−3i323+3i32-33−3+3i32−3−3i323−3+3i32−3−3i32000ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ500000000000000000000
χ336−3+3i3−3−3i33−3i323+3i32-33−3+3i32−3−3i323−3+3i32−3−3i32000−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ500000000000000000000
χ346−3+3i3−3−3i33−3i323+3i32-3−3+3i32−3−3i323−3−3i323−3+3i32000ζ+2ζ4ζ−ζ4−2ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ500000000000000000000
χ356−3+3i3−3−3i33−3i323+3i32-3−3+3i32−3−3i323−3−3i323−3+3i32000ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ500000000000000000000
χ366−3+3i3−3−3i33−3i323+3i32-3−3+3i32−3−3i323−3−3i323−3+3i32000−2ζ−ζ4ζ+2ζ4ζ−ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ500000000000000000000
χ376−3+3i3−3−3i33−3i323+3i32-3−3−3i323−3+3i32−3+3i32−3−3i323000ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ500000000000000000000
χ386−3+3i3−3−3i33−3i323+3i32-3−3−3i323−3+3i32−3+3i32−3−3i323000ζ−ζ4−2ζ−ζ4ζ+2ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ500000000000000000000
χ396−3+3i3−3−3i33−3i323+3i32-3−3−3i323−3+3i32−3+3i32−3−3i323000−2ζ−ζ4ζ+2ζ4ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ500000000000000000000
χ406−3−3i3−3+3i33+3i323−3i32-33−3−3i32−3+3i323−3−3i32−3+3i320002ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ400000000000000000000
χ416−3−3i3−3+3i33+3i323−3i32-33−3−3i32−3+3i323−3−3i32−3+3i32000−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ400000000000000000000
χ426−3−3i3−3+3i33+3i323−3i32-33−3−3i32−3+3i323−3−3i32−3+3i32000−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ400000000000000000000
χ436−3−3i3−3+3i33+3i323−3i32-3−3+3i323−3−3i32−3−3i32−3+3i3230002ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ400000000000000000000
χ446−3−3i3−3+3i33+3i323−3i32-3−3+3i323−3−3i32−3−3i32−3+3i323000−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ400000000000000000000
χ456−3−3i3−3+3i33+3i323−3i32-3−3+3i323−3−3i32−3−3i32−3+3i323000−ζ2−2ζ52ζ2+ζ5−ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ400000000000000000000
χ466−3−3i3−3+3i33+3i323−3i32-3−3−3i32−3+3i323−3+3i323−3−3i320002ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ400000000000000000000
χ476−3−3i3−3+3i33+3i323−3i32-3−3−3i32−3+3i323−3+3i323−3−3i32000−ζ2+ζ5−ζ2−2ζ52ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ400000000000000000000
χ486−3−3i3−3+3i33+3i323−3i32-3−3−3i32−3+3i323−3+3i323−3−3i32000−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ400000000000000000000
χ499−9+9i32−9−9i32−9+9i32−9−9i3290000000000000000000000000003−3−3i32−3+3i3200000000000000000
χ509−9+9i32−9−9i32−9+9i32−9−9i329000000000000000000000000000-33+3i323−3i3200000000000000000
χ519−9−9i32−9+9i32−9−9i32−9+9i3290000000000000000000000000003−3+3i32−3−3i3200000000000000000
χ529−9−9i32−9+9i32−9−9i32−9+9i329000000000000000000000000000-33−3i323+3i3200000000000000000
χ53181818-9-9-900000000000000000000000000000000000000000000000

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