Finite Group DatabasebetaFinite Group Databasebeta| order | 14661 |
| automorphism | ? |
| homology | Abelianization (H1) = C32 · Schur multiplier (H2) = C3 |
No aliases for this group.
| Fitting | C3×C9×C181 ⋊ C3 |
| Sylow | C181 ⋊ #731 |
28 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4887 |
Polycyclic presentation:
3^4,181|b^3=d,b^a=bc,c^a=cd,e^a=e^481637 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14661, 32);