Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
348 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 181 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. #14557662 | C2 | semidirect |
| 3. #14557660 | C2 | semidirect |
| 50. C2×#64436 | Q8 | semidirect |
| 93. C37 | #2961 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558086 | 2 |
| #14557662 | 2 |
| #14557660 | 2 |
| #14557559 | 2 |
| #14557556 | 2 |
| #14557491 | 2 |
| #14557489 | 2 |
| C2×#11924446 | 2 |
| C37×#424 | 2 |
| #2961 | 37 |