Finite Group DatabasebetaFinite Group Databasebeta| order | 14300 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C25 · Schur multiplier (H2) = C2 |
| direct product | C2×C13⋊(D11⋊C25) |
| unambiguous semidirect product | (C2×C13)⋊(D11⋊C25) |
| unambiguous semidirect product | (C2×C11⋊C25)⋊D13 |
| unambiguous semidirect product | (C2×D143)⋊C25 |
| derived, Hall | C11×C13 ⋊ C22×C25 |
| Hall | C13×C11⋊C25 ⋊ C22 |
| Hall | C2×D143 ⋊ C25 |
| Hall | C11⋊C25 ⋊ C2×D13 |
| Sylow | C13 ⋊ C2×D11⋊C25 |
| Sylow | C11 ⋊ C2×C25×D13 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7150 |
530 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14300, 18);