Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
242 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 242 conjugacy classes of subgroups — too many to draw. Only its 73 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. C4×C4⋊Dic37 | C2 | semidirect |
| 3. #14557271 | C2 | semidirect |
| 5. C37×#432 | C2 | semidirect |
| 7. #11924528 | C4 | semidirect |
| 8. #11924524 | C4 | semidirect |
| 12. C4×Dic74 | C4 | semidirect |
| 13. C4×D148 | C4 | semidirect |
| 100. #432 | D37 | semidirect |
| 104. C37 | #1509 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558067 | 2 |
| C4×C4⋊Dic37 | 2 |
| #14557271 | 2 |
| #14557268 | 2 |
| C37×#432 | 2 |
| #1509 | 37 |