Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
380 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 3. #14557903 | C2 | semidirect |
| 4. #14557902 | C2 | semidirect |
| 5. #14557901 | C2 | semidirect |
| 6. #14557882 | C2 | semidirect |
| 9. C37×#491 | C2 | semidirect |
| 93. #491 | D37 | semidirect |
| 97. C37 | #3139 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558089 | 2 |
| C4⋊Q8×D37 | 2 |
| #14557903 | 2 |
| #14557902 | 2 |
| #14557901 | 2 |
| #14557882 | 2 |
| #14557540 | 2 |
| #14557485 | 2 |
| C37×#491 | 2 |
| #3139 | 37 |