Finite Group DatabasebetaFinite Group Databasebeta| order | 14300 |
| isoclinism | isoclinic class of C11⋊C5 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C13×C25 · Schur multiplier (H2) = C2 |
| direct product | C22×C13×C11⋊C25 |
| unambiguous semidirect product | (C22×C11)⋊(C13×C25) |
| unambiguous semidirect product | (C22×C11×C13)⋊C25 |
| derived, Sylow | C11 ⋊ C22×C13×C25 |
| Hall | C22×C11×C13 ⋊ C25 |
| Hall | C11×C13 ⋊ C22×C25 |
| Hall | C22×C11 ⋊ C13×C25 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14300 |
1820 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14300, 20);