Finite Group Databasebeta

← Group #4374

Character table — Group #4374

Order 180.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15
size112121520112121520112121520
order1552331515633151563
χ1111111111111111
χ231−521+52-1031−521+52-1031−521+52-10
χ331+521−52-1031+521−52-1031+521−52-10
χ44-1-1014-1-1014-1-101
χ55001-15001-15001-1
χ611111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ731−521+52-10−3+3i32−ζ2−ζ8−ζ11−ζ141−i320−3−3i32−ζ7−ζ13−ζ−ζ41+i320
χ831+521−52-10−3+3i32−ζ11−ζ14−ζ2−ζ81−i320−3−3i32−ζ−ζ4−ζ7−ζ131+i320
χ94-1-101−2+2i31−i321−i320−1+i32−2−2i31+i321+i320−1−i32
χ105001-1−5+5i3200−1+i321−i32−5−5i3200−1−i321+i32
χ1111111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ1231−521+52-10−3−3i32−ζ7−ζ13−ζ−ζ41+i320−3+3i32−ζ2−ζ8−ζ11−ζ141−i320
χ1331+521−52-10−3−3i32−ζ−ζ4−ζ7−ζ131+i320−3+3i32−ζ11−ζ14−ζ2−ζ81−i320
χ144-1-101−2−2i31+i321+i320−1−i32−2+2i31−i321−i320−1+i32
χ155001-1−5−5i3200−1−i321+i32−5+5i3200−1+i321−i32

Here ζ is a primitive root of unity of order 15 (ζ15 = 1); i = ζ3.