Finite Group DatabasebetaFinite Group Databasebeta| order | 24276 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C7 · Schur multiplier (H2) = C1 |
| direct product | C7×C3⋊#11923876 |
| unambiguous semidirect product | C3⋊(C7×#11923876) |
| Fitting, Hall | C3×C7×C289 ⋊ C4 |
| derived, Hall | C3×C289 ⋊ C4×C7 |
| Hall | C7×C289 ⋊ Dic3 |
| Sylow | C289 ⋊ C7×Dic3 |
| Hall | C3×C7 ⋊ #11923876 |
| Sylow | C3 ⋊ C7×#11923876 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6069 |
1554 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24276, 22);