Finite Group DatabasebetaFinite Group Databasebeta| order | 28860 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C5×C37 · Schur multiplier (H2) = C1 |
| direct product | C3×C5×C37×Dic13 |
| derived, Sylow | C13 ⋊ C3×C4×C5×C37 |
| Hall | C3×C5×C13×C37 ⋊ C4 |
| Hall | C5×C13×C37 ⋊ C3×C4 |
| Hall | C3×C13×C37 ⋊ C4×C5 |
| Hall | C13×C37 ⋊ C3×C4×C5 |
| Hall | C3×C5×C13 ⋊ C4×C37 |
| Hall | C5×C13 ⋊ C3×C4×C37 |
| Hall | C3×C13 ⋊ C4×C5×C37 |
48 conjugacy classes of subgroups.
| transitive degree | μt(G) = 28860 |
8880 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(28860, 7);