Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
210 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 63 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. #14557581 | C2 | semidirect |
| 2. #14557559 | C2 | semidirect |
| 6. #14557289 | C2 | semidirect |
| 7. C37×#424 | C2 | semidirect |
| 92. #424 | D37 | semidirect |
| 97. C37 | #2098 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557581 | 2 |
| #14557559 | 2 |
| #14557551 | 2 |
| #14557549 | 2 |
| #14557499 | 2 |
| #14557289 | 2 |
| C37×#424 | 2 |
| #2098 | 37 |