Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
278 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 278 conjugacy classes of subgroups — too many to draw. Only its 67 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. #14557573 | C2 | semidirect |
| 5. C2×#11924455 | C2 | semidirect |
| 6. #14557293 | C2 | semidirect |
| 7. C37×#391 | C2 | semidirect |
| 126. #391 | D37 | semidirect |
| 128. C37 | #2038 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558107 | 2 |
| #14557573 | 2 |
| C2×#11924464 | 2 |
| #14557532 | 2 |
| C2×#11924455 | 2 |
| #14557293 | 2 |
| C37×#391 | 2 |
| #2038 | 37 |