Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
340 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 137 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. #14557943 | C2 | semidirect |
| 3. #14557941 | C2 | semidirect |
| 4. #14557933 | C2 | semidirect |
| 5. #14557931 | C2 | semidirect |
| 6. #14557930 | C2 | semidirect |
| 11. C37×#499 | C2 | semidirect |
| 64. #10596929 | Q8 | semidirect |
| 65. C8×D37 | Q8 | semidirect |
| 104. #499 | D37 | semidirect |
| 111. C37 | #3163 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558163 | 2 |
| #14557943 | 2 |
| #14557941 | 2 |
| #14557933 | 2 |
| #14557931 | 2 |
| #14557930 | 2 |
| #14557574 | 2 |
| #14557568 | 2 |
| #106×D37 | 2 |
| #14557487 | 2 |
| C37×#499 | 2 |
| #3163 | 37 |