Finite Group DatabasebetaFinite Group Databasebeta| order | 16900 |
| isoclinism | isoclinic class of D13 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C13×C25 · Schur multiplier (H2) = C2 |
| direct product | C2×C13×C25×D13 |
| unambiguous semidirect product | C13⋊(C22×C13×C25) |
| unambiguous semidirect product | (C2×C13)⋊(C2×C13×C25) |
| Fitting | C2×C132×C25 ⋊ C2 |
| derived | C13 ⋊ C22×C13×C25 |
| Hall | C132×C25 ⋊ C22 |
| Sylow | C132 ⋊ C22×C25 |
96 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1300 |
5200 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16900, 85);