Finite Group DatabasebetaFinite Group Databasebeta| order | 19197 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C3 |
No aliases for this group.
| Sylow | C79 ⋊ #6899 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6399 |
Polycyclic presentation:
3^5,79|b^3=de,c^3=d^2,b^a=bd,c^a=ce,f^b=f^23,f^c=f^23909 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19197, 222);