Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
368 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 129 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. #14557937 | C2 | semidirect |
| 3. #14557911 | C2 | semidirect |
| 4. #14557882 | C2 | semidirect |
| 8. C4×Dic148 | C2 | semidirect |
| 9. C4×#10596942 | C2 | semidirect |
| 11. C4×Q16×C37 | C2 | semidirect |
| 87. C4×D37 | Q16 | semidirect |
| 124. C4×Q16 | D37 | semidirect |
| 126. C37 | #3170 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558087 | 2 |
| #14557937 | 2 |
| #14557911 | 2 |
| #14557882 | 2 |
| #14557775 | 2 |
| #14557773 | 2 |
| #14557771 | 2 |
| C4×Dic148 | 2 |
| C4×#10596942 | 2 |
| C4×C8×D37 | 2 |
| C4×Q16×C37 | 2 |
| #3170 | 37 |