Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
368 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 129 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. #14557937 | C2 | semidirect |
| 3. #14557911 | C2 | semidirect |
| 4. #14557882 | C2 | semidirect |
| 7. Q16×Dic37 | C2 | semidirect |
| 8. #14557627 | C2 | semidirect |
| 9. #14557625 | C2 | semidirect |
| 83. C2×Dic37 | Q16 | semidirect |
| 126. C37 | #3170 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558085 | 2 |
| #14557937 | 2 |
| #14557911 | 2 |
| #14557882 | 2 |
| #14557774 | 2 |
| #14557772 | 2 |
| Q16×Dic37 | 2 |
| #14557627 | 2 |
| #14557625 | 2 |
| C2×C8×Dic37 | 2 |
| C37×#467 | 2 |
| #3170 | 37 |