Finite Group DatabasebetaFinite Group Databasebeta| order | 16562 |
| isoclinism | isoclinic class of D13 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C13×C49 · Schur multiplier (H2) = C1 |
| direct product | C13×D13×C49 |
| unambiguous semidirect product | C13⋊(C2×C13×C49) |
| Fitting, Hall | C132×C49 ⋊ C2 |
| derived | C13 ⋊ C2×C13×C49 |
| Sylow | C132 ⋊ C2×C49 |
42 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1274 |
5096 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C13×C49×#261, C49×#10621730, D132×C49, … |
| maximal normal subgroup of | C13×C49×#261, C49×#10621730, D132×C49, … |
| maximal quotient of | C13×C49×Dic13, C2×C13×D13×C49 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16562, 15);