Finite Group DatabasebetaFinite Group Databasebeta| order | 38151 |
| automorphism | ? |
| homology | Abelianization (H1) = C32 · Schur multiplier (H2) = C3 |
No aliases for this group.
| Fitting | C32⋊C9×C157 ⋊ C3 |
| Sylow | C157 ⋊ #6857 |
92 conjugacy classes of subgroups.
| transitive degree | μt(G) = 12717 |
Polycyclic presentation:
3^5,157|a^3=d,b^a=bc,c^a=cd,f^a=f^12,c^b=ce,f^b=f^121751 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(38151, 74);