Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
188 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 188 conjugacy classes of subgroups — too many to draw. Only its 53 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. #14557734 | C2 | semidirect |
| 3. #14557730 | C2 | semidirect |
| 4. #14557657 | C2 | semidirect |
| 5. #14557285 | C2 | semidirect |
| 6. #14557276 | C2 | semidirect |
| 7. C37×#331 | C2 | semidirect |
| 61. Dic74 | D8 | semidirect |
| 66. #64436 | SD16 | semidirect |
| 93. #331 | D37 | semidirect |
| 94. C37 | #1668 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557909 | 2 |
| #14557734 | 2 |
| #14557730 | 2 |
| #14557657 | 2 |
| #14557285 | 2 |
| #14557276 | 2 |
| C37×#331 | 2 |
| #1668 | 37 |