Finite Group DatabasebetaFinite Group Databasebeta| order | 24108 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4 · Schur multiplier (H2) = C1 |
| direct product | C3×C49⋊#4223 |
| Fitting, Hall | C3×C41×C49 ⋊ C4 |
| derived, Hall | C41×C49 ⋊ C3×C4 |
| Hall | C3×C49 ⋊ #4223 |
| Hall | C3×C41 ⋊ Dic49 |
| Sylow | C49 ⋊ C3×#4223 |
| Sylow | C41 ⋊ C3×Dic49 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6027 |
1626 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24108, 21);