Finite Group DatabasebetaFinite Group Databasebeta| order | 15633 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C32 |
No aliases for this group.
| Fitting | 3−1+2×C193 ⋊ C3 |
| Sylow | C193 ⋊ #737 |
66 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5211 |
Polycyclic presentation:
3^4,193|c^3=d,b^a=bd,e^a=e^108,e^c=e^84737 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15633, 48);