Finite Group DatabasebetaFinite Group Databasebeta| order | 19197 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C27 · Schur multiplier (H2) = C3 |
No aliases for this group.
| Sylow | C79 ⋊ C9⋊C27 |
52 conjugacy classes of subgroups.
| transitive degree | μt(G) = 19197 |
Polycyclic presentation:
3^5,79|a^3=d,b^3=c,d^3=e,b^a=bc,f^a=f^552205 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19197, 118);