Finite Group Databasebeta

← Group #1198

Character table — Group #1198

Order 120.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24
size1122332244662244665510101515
order1236445101530202051015302020226644
χ1111111111111111111111111
χ21111-1-11111-1-11111-1-11111-1-1
χ31-11-1i−i1-11-1i−i1-11-1i−i1-11-1i−i
χ41-11-1−ii1-11-1−ii1-11-1−ii1-11-1−ii
χ522-1-10022-1-10022-1-10022-1-100
χ62-2-11002-2-11002-2-11002-2-1100
χ7111111111111111111-1-1-1-1-1-1
χ81111-1-11111-1-11111-1-1-1-1-1-111
χ91-11-1i−i1-11-1i−i1-11-1i−i-11-11−ii
χ101-11-1−ii1-11-1−ii1-11-1−ii-11-11i−i
χ1122-1-10022-1-10022-1-100-2-21100
χ122-2-11002-2-11002-2-1100-221-100
χ13222222−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52000000
χ142222-2-2−1+52−1+52−1+52−1+521−521−52−1−52−1−52−1−52−1−521+521+52000000
χ152-22-22i−2i−1+521−52−1+521−52−ζ11−ζ19ζ11+ζ19−1−521+52−1−521+52−ζ3−ζ7ζ3+ζ7000000
χ162-22-2−2i2i−1+521−52−1+521−52ζ11+ζ19−ζ11−ζ19−1−521+52−1−521+52ζ3+ζ7−ζ3−ζ7000000
χ1744-2-200−1+5−1+51−521−5200−1−5−1−51+521+5200000000
χ184-4-2200−1+51−51−52−1+5200−1−51+51+52−1−5200000000
χ19222222−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52000000
χ202222-2-2−1−52−1−52−1−52−1−521+521+52−1+52−1+52−1+52−1+521−521−52000000
χ212-22-22i−2i−1−521+52−1−521+52−ζ3−ζ7ζ3+ζ7−1+521−52−1+521−52−ζ11−ζ19ζ11+ζ19000000
χ222-22-2−2i2i−1−521+52−1−521+52ζ3+ζ7−ζ3−ζ7−1+521−52−1+521−52ζ11+ζ19−ζ11−ζ19000000
χ2344-2-200−1−5−1−51+521+5200−1+5−1+51−521−5200000000
χ244-4-2200−1−51+51+52−1−5200−1+51−51−52−1+5200000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.