Finite Group DatabasebetaFinite Group Databasebeta| order | 14300 |
| isoclinism | isoclinic class of #1035 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C11×C13 · Schur multiplier (H2) = C1 |
| direct product | C11×C13×#1035 |
| Fitting, Hall | C11×C13×C25 ⋊ C4 |
| derived, Sylow | C25 ⋊ C4×C11×C13 |
| Hall | C13×C25 ⋊ C4×C11 |
| Hall | C11×C25 ⋊ C4×C13 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3575 |
1430 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14300, 24);