Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
512 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 173 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. #14557428 | C2 | semidirect |
| 3. #14557427 | C2 | semidirect |
| 4. #14557421 | C2 | semidirect |
| 5. #14557417 | C2 | semidirect |
| 7. #14557405 | C2 | semidirect |
| 8. #14557391 | C2 | semidirect |
| 12. #11924517 | C4 | semidirect |
| 44. C22×Dic37 | C2×C4 | semidirect |
| 56. C22⋊Dic37 | C2×C4 | semidirect |
| 60. #10596936 | C2×C4 | semidirect |
| 136. C37 | #2376 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924517 | 2 |
| #14557428 | 2 |
| #14557427 | 2 |
| #14557421 | 2 |
| #14557417 | 2 |
| #14557413 | 2 |
| #14557405 | 2 |
| #14557391 | 2 |
| C37×#390 | 2 |
| #2376 | 37 |