Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
380 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 141 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. #14557943 | C2 | semidirect |
| 4. #14557942 | C2 | semidirect |
| 5. #14557939 | C2 | semidirect |
| 6. #14557937 | C2 | semidirect |
| 7. #14557930 | C2 | semidirect |
| 11. C37×#501 | C2 | semidirect |
| 79. #10596929 | Q8 | semidirect |
| 102. C8×C37 | C2×Q8 | semidirect |
| 103. #64436 | C2×Q8 | semidirect |
| 130. #501 | D37 | semidirect |
| 136. C37 | #3165 | semidirect |
| 228. C8 | Q8×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558089 | 2 |
| C4⋊Q8×D37 | 2 |
| #14557943 | 2 |
| #14557942 | 2 |
| #14557939 | 2 |
| #14557937 | 2 |
| #14557930 | 2 |
| #14557574 | 2 |
| #14557572 | 2 |
| #14557485 | 2 |
| C37×#501 | 2 |
| #3165 | 37 |