Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
338 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 115 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. #14557934 | C2 | semidirect |
| 3. #14557911 | C2 | semidirect |
| 4. #14557900 | C2 | semidirect |
| 7. #14557637 | C2 | semidirect |
| 8. Q16×Dic37 | C2 | semidirect |
| 9. #14557627 | C2 | semidirect |
| 123. C37 | #3177 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558143 | 2 |
| #14557934 | 2 |
| #14557911 | 2 |
| #14557900 | 2 |
| #14557789 | 2 |
| #14557774 | 2 |
| #14557637 | 2 |
| Q16×Dic37 | 2 |
| #14557627 | 2 |
| #14557488 | 2 |
| C37×#467 | 2 |
| #3177 | 37 |