Finite Group DatabasebetaFinite Group Databasebeta| order | 19197 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C9 · Schur multiplier (H2) = C3 |
No aliases for this group.
| Fitting | C3×C27×C79 ⋊ C3 |
| Sylow | C79 ⋊ #6873 |
52 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6399 |
Polycyclic presentation:
3^5,79|a^3=d,d^3=e^2,b^a=bc,c^a=ce,f^a=f^23,c^b=ce,f^b=f^232157 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19197, 115);