Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
144 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 65 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. #14557949 | C2 | semidirect |
| 3. #14557353 | C2 | semidirect |
| 4. #14557318 | C2 | semidirect |
| 5. #14557317 | C2 | semidirect |
| 6. #14557308 | C2 | semidirect |
| 7. C37×#504 | C2 | semidirect |
| 73. #504 | D37 | semidirect |
| 79. C37 | #2171 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557949 | 2 |
| #14557648 | 2 |
| #14557353 | 2 |
| #14557318 | 2 |
| #14557317 | 2 |
| #14557308 | 2 |
| C37×#504 | 2 |
| #2171 | 37 |