Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
236 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 236 conjugacy classes of subgroups — too many to draw. Only its 77 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. M32×D37 | C2 | semidirect |
| 3. #14557315 | C2 | semidirect |
| 4. #14557314 | C2 | semidirect |
| 5. C37×#349 | C2 | semidirect |
| 14. #11924476 | C22 | semidirect |
| 18. M32×C37 | C22 | semidirect |
| 94. D37 | #349 | direct (N × H) |
| 99. #349 | D37 | direct (N × H) |
| 100. C37 | C2×#349 | semidirect |
| 112. M32 | C2×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×M16×D37 | 2 |
| M32×D37 | 2 |
| #14557315 | 2 |
| #14557314 | 2 |
| C37×#349 | 2 |
| C2×#349 | 37 |