Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
182 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 182 conjugacy classes of subgroups — too many to draw. Only its 55 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 |
|---|---|---|
| 1. #14557810 | C2 | semidirect |
| 3. #14557612 | C2 | semidirect |
| 4. #14557286 | C2 | semidirect |
| 5. #14557279 | C2 | semidirect |
| 6. #14557277 | C2 | semidirect |
| 7. C37×#492 | C2 | semidirect |
| 62. C8×C37 | D8 | semidirect |
| 86. #492 | D37 | semidirect |
| 93. C37 | #1685 | semidirect |
| 151. C8 | #10596939 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557810 | 2 |
| #14557725 | 2 |
| #14557612 | 2 |
| #14557286 | 2 |
| #14557279 | 2 |
| #14557277 | 2 |
| C37×#492 | 2 |
| #1685 | 37 |