Finite Group DatabasebetaFinite Group Databasebeta| order | 24276 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4 · Schur multiplier (H2) = C1 |
| direct product | C3×C7⋊#11923876 |
| Fitting, Hall | C3×C7×C289 ⋊ C4 |
| derived, Hall | C7×C289 ⋊ C3×C4 |
| Hall | C3×C289 ⋊ Dic7 |
| Sylow | C289 ⋊ C3×Dic7 |
| Hall | C3×C7 ⋊ #11923876 |
| Sylow | C7 ⋊ C3×#11923876 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6069 |
1542 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24276, 21);