Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
146 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 146 conjugacy classes of subgroups — too many to draw. Only its 53 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. #14557649 | C2 | semidirect |
| 3. #14557339 | C2 | semidirect |
| 4. C16×Dic37 | C2 | semidirect |
| 5. C37×#368 | C2 | semidirect |
| 8. Dic296 | C4 | semidirect |
| 9. #11924481 | C4 | semidirect |
| 10. D592 | C4 | semidirect |
| 52. #368 | D37 | semidirect |
| 55. C37 | #2178 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557965 | 2 |
| #14557649 | 2 |
| #14557339 | 2 |
| C16×Dic37 | 2 |
| C37×#368 | 2 |
| #2178 | 37 |