Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
444 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 1. #14558350 | C2 | semidirect |
| 2. #14558347 | C2 | semidirect |
| 3. #14557913 | C2 | semidirect |
| 4. #14557809 | C2 | semidirect |
| 5. #14557808 | C2 | semidirect |
| 6. #14557717 | C2 | semidirect |
| 7. #14557651 | C2 | semidirect |
| 8. C37×#443 | C2 | semidirect |
| 107. #443 | D37 | semidirect |
| 108. C37 | #3293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558350 | 2 |
| #14558347 | 2 |
| #14557913 | 2 |
| #14557809 | 2 |
| #14557808 | 2 |
| #14557717 | 2 |
| #14557651 | 2 |
| C37×#443 | 2 |
| #3293 | 37 |