Finite Group DatabasebetaFinite Group Databasebeta| order | 33948 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9×C23 · Schur multiplier (H2) = C1 |
| direct product | C9×C23×Dic41 |
| derived, Sylow | C41 ⋊ C4×C9×C23 |
| Hall | C9×C23×C41 ⋊ C4 |
| Hall | C23×C41 ⋊ C4×C9 |
| Hall | C9×C41 ⋊ C4×C23 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 33948 |
9108 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33948, 2);