Finite Group DatabasebetaFinite Group Databasebeta| order | 24108 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C41×C49 · Schur multiplier (H2) = C2 |
| direct product | A4×C41×C49 |
| unambiguous semidirect product | C22⋊(C3×C41×C49) |
| unambiguous semidirect product | (C22×C41)⋊(C3×C49) |
| Fitting, Hall | C22×C41×C49 ⋊ C3 |
| derived, Sylow | C22 ⋊ C3×C41×C49 |
| Hall | C22×C49 ⋊ C3×C41 |
| Hall | C22×C41 ⋊ C3×C49 |
30 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8036 |
8036 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24108, 32);