Finite Group DatabasebetaFinite Group Databasebeta| order | 33129 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C32 |
No aliases for this group.
| Fitting | 3−1+2×C409 ⋊ C3 |
| Sylow | C409 ⋊ #737 |
66 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11043 |
Polycyclic presentation:
3^4,409|c^3=d,b^a=bd,e^a=e^53,e^c=e^3551529 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33129, 48);