Finite Group DatabasebetaFinite Group Databasebeta| order | 14300 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C11 · Schur multiplier (H2) = C1 |
| direct product | C11×#13049908 |
| Fitting, Hall | C11×C13×C25 ⋊ C4 |
| derived, Hall | C13×C25 ⋊ C4×C11 |
| Hall | C11×C25 ⋊ #261 |
| Hall | C11×C13 ⋊ #1035 |
| Sylow | C25 ⋊ C11×#261 |
| Sylow | C13 ⋊ C11×#1035 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3575 |
935 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14300, 25);