Finite Group DatabasebetaFinite Group Databasebeta| order | 36693 |
| automorphism | ? |
| homology | Abelianization (H1) = C92 · Schur multiplier (H2) = C33 |
| unambiguous semidirect product | C151⋊#6855 |
| Sylow | C151 ⋊ #6855 |
138 conjugacy classes of subgroups.
| transitive degree | μt(G) = 36693 |
Polycyclic presentation:
3^5,151|a^3=d,b^3=e,b^a=bc,f^b=f^324149 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36693, 69);