Finite Group DatabasebetaFinite Group Databasebeta| order | 25353 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C32 |
No aliases for this group.
| Fitting | C3×C9×C313 ⋊ C3 |
| Sylow | C313 ⋊ #737 |
66 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8451 |
Polycyclic presentation:
3^4,313|c^3=d,b^a=bd,e^b=e^2142841 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(25353, 47);