Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
380 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 125 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. #14557900 | C2 | semidirect |
| 4. #14557885 | C2 | semidirect |
| 5. #14557884 | C2 | semidirect |
| 6. #14557883 | C2 | semidirect |
| 9. C37×#487 | C2 | semidirect |
| 113. #487 | D37 | semidirect |
| 116. C37 | #3139 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558088 | 2 |
| C4⋊Q8×D37 | 2 |
| #14557900 | 2 |
| #14557885 | 2 |
| #14557884 | 2 |
| #14557883 | 2 |
| #14557540 | 2 |
| C4×#10596929 | 2 |
| C37×#487 | 2 |
| #3139 | 37 |