Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
326 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 67 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. #14557573 | C2 | semidirect |
| 3. C2×#11924463 | C2 | semidirect |
| 4. C2×#11924452 | C2 | semidirect |
| 5. #14557434 | C2 | semidirect |
| 6. #14557294 | C2 | semidirect |
| 7. C37×#417 | C2 | semidirect |
| 62. #10596934 | D4 | semidirect |
| 134. #417 | D37 | semidirect |
| 138. C37 | #2037 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558097 | 2 |
| #14557573 | 2 |
| C2×#11924463 | 2 |
| C2×#11924452 | 2 |
| #14557434 | 2 |
| #14557294 | 2 |
| C37×#417 | 2 |
| #2037 | 37 |