Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
186 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 186 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 12. #11924469 | C4 | semidirect |
| 13. #11924469 | C4 | semidirect |
| 14. #11924467 | C4 | semidirect |
| 15. #11924467 | C4 | semidirect |
| 96. C37 | #1922 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557569 | 2 |
| #14557561 | 2 |
| #14557489 | 2 |
| #14557297 | 2 |
| #14557293 | 2 |
| #14557288 | 2 |
| C37×#339 | 2 |
| #1922 | 37 |