Finite Group DatabasebetaFinite Group Databasebeta| order | 24444 |
| automorphism | ? |
| homology | Abelianization (H1) = C9×C97 · Schur multiplier (H2) = C2 |
| direct product | C97×C22⋊(C7⋊C9) |
| unambiguous semidirect product | C22⋊(C7⋊C9×C97) |
| unambiguous semidirect product | C7⋊(C22⋊C9×C97) |
| derived, Hall | C22×C7 ⋊ C9×C97 |
| Hall | C22×C7×C97 ⋊ C9 |
| Hall | C7×C97 ⋊ C22⋊C9 |
| Hall | C22×C97 ⋊ C7⋊C9 |
| Sylow | C7 ⋊ C22⋊C9×C97 |
| Sylow | C22 ⋊ C7⋊C9×C97 |
32 conjugacy classes of subgroups.
| transitive degree | μt(G) = 12222 |
3492 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24444, 63);