Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
172 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 172 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 3. #14557286 | C2 | semidirect |
| 4. #14557279 | C2 | semidirect |
| 5. C37×#494 | C2 | semidirect |
| 41. D148 | Q16 | semidirect |
| 64. #494 | D37 | semidirect |
| 69. C37 | #1669 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557810 | 2 |
| C8×D148 | 2 |
| #14557286 | 2 |
| #14557279 | 2 |
| C37×#494 | 2 |
| #1669 | 37 |