Finite Group DatabasebetaFinite Group Databasebeta| order | 16119 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C32 |
No aliases for this group.
| Fitting | 3−1+2×C199 ⋊ C3 |
| Sylow | C199 ⋊ #737 |
66 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5373 |
Polycyclic presentation:
3^4,199|c^3=d,b^a=bd,e^a=e^92,e^c=e^106759 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16119, 48);