Finite Group DatabasebetaFinite Group Databasebeta| order | 24420 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C5×C11 · Schur multiplier (H2) = C1 |
| direct product | C3×C5×C11×Dic37 |
| derived, Sylow | C37 ⋊ C3×C4×C5×C11 |
| Hall | C3×C5×C11×C37 ⋊ C4 |
| Hall | C5×C11×C37 ⋊ C3×C4 |
| Hall | C3×C11×C37 ⋊ C4×C5 |
| Hall | C3×C5×C37 ⋊ C4×C11 |
| Hall | C11×C37 ⋊ C3×C4×C5 |
| Hall | C5×C37 ⋊ C3×C4×C11 |
| Hall | C3×C37 ⋊ C4×C5×C11 |
48 conjugacy classes of subgroups.
| transitive degree | μt(G) = 24420 |
6600 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24420, 5);