Finite Group DatabasebetaFinite Group Databasebeta| order | 33540 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C5×C13 · Schur multiplier (H2) = C1 |
| direct product | C3×C5×C13×Dic43 |
| derived, Sylow | C43 ⋊ C3×C4×C5×C13 |
| Hall | C3×C5×C13×C43 ⋊ C4 |
| Hall | C5×C13×C43 ⋊ C3×C4 |
| Hall | C3×C13×C43 ⋊ C4×C5 |
| Hall | C3×C5×C43 ⋊ C4×C13 |
| Hall | C13×C43 ⋊ C3×C4×C5 |
| Hall | C5×C43 ⋊ C3×C4×C13 |
| Hall | C3×C43 ⋊ C4×C5×C13 |
48 conjugacy classes of subgroups.
| transitive degree | μt(G) = 33540 |
8970 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33540, 6);