Finite Group Databasebeta

← Group #14515870

Character table — Group #14515870

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55
size11111133336669999181818181818181827272727363636363636363636363636545454545454108108108108108108108108
order123366336641212991818121236363636363633669999991818181818181212121212123366991818
χ11111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ311111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ41111111111111111111111111−1+i32−1−i32−1+i32−1−i32111111111111−1+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
χ51111111111111111111111111−1+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+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i321111
χ61111111111111111111111111−1+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+i32−1−i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i32
χ71111111111111111111111111−1−i32−1+i32−1−i32−1+i32111111111111−1−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
χ81111111111111111111111111−1−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−i32−1+i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i32
χ91111111111111111111111111−1−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−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i321111
χ102-222-2-222-2-200022-2-20000000022-2-2-1-1-1-1-1-1111111000000-1-111-1-111
χ112-222-2-222-2-200022-2-20000000022-2-21−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i320000001−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ122-222-2-222-2-200022-2-20000000022-2-21+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i320000001+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ132-222-2-222-2-200022-2-200000000−1+i3−1−i31−i31+i3-1-1-1-1-1-11111110000001−i321+i32−1+i32−1−i321+i321−i32−1−i32−1+i32
χ142-222-2-222-2-200022-2-200000000−1+i3−1−i31−i31+i31−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i320000001+i321−i32−1−i32−1+i32-1-111
χ152-222-2-222-2-200022-2-200000000−1+i3−1−i31−i31+i31+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000-1-1111−i321+i32−1+i32−1−i32
χ162-222-2-222-2-200022-2-200000000−1−i3−1+i31+i31−i3-1-1-1-1-1-11111110000001+i321−i32−1−i32−1+i321−i321+i32−1+i32−1−i32
χ172-222-2-222-2-200022-2-200000000−1−i3−1+i31+i31−i31−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000-1-1111+i321−i32−1−i32−1+i32
χ182-222-2-222-2-200022-2-200000000−1−i3−1+i31+i31−i31+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i320000001−i321+i32−1+i32−1−i32-1-111
χ193333333333333−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32000000000000000000000000000000
χ203333333333333−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32000000000000000000000000000000
χ213333333333-1-1-13333-1-1-1-1-1-1-1-13333000000000000-1-1-1-1-1-100000000
χ223333333333-1-1-13333-1-1-1-1-1-1-1-1−3+3i32−3−3i32−3+3i32−3−3i320000000000001−i321−i321−i321+i321+i321+i3200000000
χ233333333333-1-1-13333-1-1-1-1-1-1-1-1−3−3i32−3+3i32−3−3i32−3+3i320000000000001+i321+i321+i321−i321−i321−i3200000000
χ243333333333-1-1-1−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321−i321−i321+i321+i321+i3200000000000000002−1+i3−1−i32−1+i3−1−i300000000
χ253333333333-1-1-1−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321−i321−i321+i321+i321+i320000000000000000−1+i3−1−i32−1−i32−1+i300000000
χ263333333333-1-1-1−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321−i321−i321+i321+i321+i320000000000000000−1−i32−1+i3−1+i3−1−i3200000000
χ273333333333-1-1-1−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321+i321+i321−i321−i321−i3200000000000000002−1−i3−1+i32−1−i3−1+i300000000
χ283333333333-1-1-1−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321+i321+i321−i321−i321−i320000000000000000−1+i32−1−i3−1−i3−1+i3200000000
χ293333333333-1-1-1−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321+i321+i321−i321−i321−i320000000000000000−1−i3−1+i32−1+i32−1−i300000000
χ30333333−3+3i32−3−3i32−3+3i32−3−3i323330000−3+3i32−3−3i320000000000ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ500000000000000
χ31333333−3+3i32−3−3i32−3+3i32−3−3i323330000−3+3i32−3−3i320000000000ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ500000000000000
χ32333333−3+3i32−3−3i32−3+3i32−3−3i323330000−3+3i32−3−3i320000000000−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ500000000000000
χ33333333−3−3i32−3+3i32−3−3i32−3+3i323330000−3−3i32−3+3i3200000000002ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ400000000000000
χ34333333−3−3i32−3+3i32−3−3i32−3+3i323330000−3−3i32−3+3i320000000000−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ400000000000000
χ35333333−3−3i32−3+3i32−3−3i32−3+3i323330000−3−3i32−3+3i320000000000−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ400000000000000
χ366-666-6-666-6-6000−3+3i3−3−3i33−3i33+3i300000000000000000000000000000000000000
χ376-666-6-666-6-6000−3−3i3−3+3i33+3i33−3i300000000000000000000000000000000000000
χ386-666-6-6−3+3i3−3−3i33−3i33+3i300000000000000000002ζ+ζ4−ζ−2ζ4−ζ+ζ4ζ2+2ζ5−2ζ2−ζ5ζ2−ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ500000000000000
χ396-666-6-6−3+3i3−3−3i33−3i33+3i30000000000000000000−ζ+ζ42ζ+ζ4−ζ−2ζ4ζ2−ζ5ζ2+2ζ5−2ζ2−ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ500000000000000
χ406-666-6-6−3+3i3−3−3i33−3i33+3i30000000000000000000−ζ−2ζ4−ζ+ζ42ζ+ζ4−2ζ2−ζ5ζ2−ζ5ζ2+2ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ500000000000000
χ416-666-6-6−3−3i3−3+3i33+3i33−3i30000000000000000000ζ2+2ζ5−2ζ2−ζ5ζ2−ζ5−ζ−2ζ4−ζ+ζ42ζ+ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ400000000000000
χ426-666-6-6−3−3i3−3+3i33+3i33−3i30000000000000000000ζ2−ζ5ζ2+2ζ5−2ζ2−ζ52ζ+ζ4−ζ−2ζ4−ζ+ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ400000000000000
χ436-666-6-6−3−3i3−3+3i33+3i33−3i30000000000000000000−2ζ2−ζ5ζ2−ζ5ζ2+2ζ5−ζ+ζ42ζ+ζ4−ζ−2ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ400000000000000
χ44999999−9+9i32−9−9i32−9+9i32−9−9i32-3-3-300003−3i323+3i32000000000000000000000000000000000000
χ45999999−9−9i32−9+9i32−9−9i32−9+9i32-3-3-300003+3i323−3i32000000000000000000000000000000000000
χ4699−9+9i32−9−9i32−9+9i32−9−9i3200009−9+9i32−9−9i32000000000000000000000000000000000000000000
χ4799−9+9i32−9−9i32−9+9i32−9−9i320000-33−3i323+3i320000002ζ+4ζ42ζ−2ζ4−4ζ−2ζ44ζ2+2ζ5−2ζ2+2ζ5−2ζ2−4ζ5000000000000000000000000000000
χ4899−9+9i32−9−9i32−9+9i32−9−9i320000-33−3i323+3i320000002ζ−2ζ4−4ζ−2ζ42ζ+4ζ4−2ζ2+2ζ5−2ζ2−4ζ54ζ2+2ζ5000000000000000000000000000000
χ4999−9+9i32−9−9i32−9+9i32−9−9i320000-33−3i323+3i32000000−4ζ−2ζ42ζ+4ζ42ζ−2ζ4−2ζ2−4ζ54ζ2+2ζ5−2ζ2+2ζ5000000000000000000000000000000
χ5099−9−9i32−9+9i32−9−9i32−9+9i3200009−9−9i32−9+9i32000000000000000000000000000000000000000000
χ5199−9−9i32−9+9i32−9−9i32−9+9i320000-33+3i323−3i320000004ζ2+2ζ5−2ζ2+2ζ5−2ζ2−4ζ52ζ−2ζ4−4ζ−2ζ42ζ+4ζ4000000000000000000000000000000
χ5299−9−9i32−9+9i32−9−9i32−9+9i320000-33+3i323−3i32000000−2ζ2+2ζ5−2ζ2−4ζ54ζ2+2ζ5−4ζ−2ζ42ζ+4ζ42ζ−2ζ4000000000000000000000000000000
χ5399−9−9i32−9+9i32−9−9i32−9+9i320000-33+3i323−3i32000000−2ζ2−4ζ54ζ2+2ζ5−2ζ2+2ζ52ζ+4ζ42ζ−2ζ4−4ζ−2ζ4000000000000000000000000000000
χ5418-18−9+9i3−9−9i39−9i39+9i30000000000000000000000000000000000000000000000000
χ5518-18−9−9i3−9+9i39+9i39−9i30000000000000000000000000000000000000000000000000

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