Finite Group DatabasebetaFinite Group Databasebeta| order | 21756 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C37 · Schur multiplier (H2) = C1 |
| direct product | C3×C37×Dic49 |
| derived, Sylow | C49 ⋊ C3×C4×C37 |
| Hall | C3×C37×C49 ⋊ C4 |
| Hall | C37×C49 ⋊ C3×C4 |
| Hall | C3×C49 ⋊ C4×C37 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 21756 |
5772 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21756, 19);