Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
182 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 182 conjugacy classes of subgroups — too many to draw. Only its 61 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. #14557610 | C2 | semidirect |
| 3. #14557598 | C2 | semidirect |
| 4. #14557260 | C2 | semidirect |
| 5. #14557260 | C2 | semidirect |
| 6. #14557255 | C2 | semidirect |
| 7. C37×#334 | C2 | semidirect |
| 52. D148 | M16 | semidirect |
| 87. #334 | D37 | semidirect |
| 91. C37 | #1586 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×D296 | 2 |
| #14557610 | 2 |
| #14557598 | 2 |
| #14557260 | 2 |
| #14557255 | 2 |
| C37×#334 | 2 |
| #1586 | 37 |