Finite Group DatabasebetaFinite Group Databasebeta| order | 15633 |
| automorphism | ? |
| homology | Abelianization (H1) = C32 · Schur multiplier (H2) = C3 |
No aliases for this group.
| Fitting | 3−1+2×C193 ⋊ C3 |
| Sylow | C193 ⋊ AΣL(1,𝔽27) |
40 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1737 |
Polycyclic presentation:
3^4,193|b^a=bc,c^a=cd,e^a=e^108,e^b=e^84721 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15633, 30);