Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
144 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 57 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. #14557651 | C2 | semidirect |
| 3. #14557362 | C2 | semidirect |
| 4. #14557340 | C2 | semidirect |
| 5. #14557339 | C2 | semidirect |
| 6. #14557309 | C2 | semidirect |
| 7. C37×#443 | C2 | semidirect |
| 10. #11924482 | C4 | semidirect |
| 11. #11924480 | C4 | semidirect |
| 12. #11924479 | C4 | semidirect |
| 13. #11924477 | C4 | semidirect |
| 74. #443 | D37 | semidirect |
| 79. C37 | #2179 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557963 | 2 |
| #14557651 | 2 |
| #14557362 | 2 |
| #14557340 | 2 |
| #14557339 | 2 |
| #14557309 | 2 |
| C37×#443 | 2 |
| #2179 | 37 |