Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
376 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 131 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 |
|---|---|---|
| 3. #14557839 | C2 | semidirect |
| 4. #14557838 | C2 | semidirect |
| 5. #14557825 | C2 | semidirect |
| 6. #14557819 | C2 | semidirect |
| 7. #14557818 | C2 | semidirect |
| 11. C37×#477 | C2 | semidirect |
| 46. Q8×D37 | Q8 | semidirect |
| 136. #477 | D37 | semidirect |
| 142. C37 | #3078 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558088 | 2 |
| C4×Q8×D37 | 2 |
| #14557839 | 2 |
| #14557838 | 2 |
| #14557825 | 2 |
| #14557819 | 2 |
| #14557818 | 2 |
| #14557574 | 2 |
| #14557555 | 2 |
| #14557540 | 2 |
| C37×#477 | 2 |
| #3078 | 37 |