Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
362 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 2. C22×#10596941 | C2 | semidirect |
| 3. C2×#11924455 | C2 | semidirect |
| 4. C2×#11924452 | C2 | semidirect |
| 5. #14557500 | C2 | semidirect |
| 6. #14557297 | C2 | semidirect |
| 7. C2×#137×C37 | C2 | semidirect |
| 128. C2×#137 | D37 | semidirect |
| 135. C37 | #2019 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924561 | 2 |
| C22×#10596941 | 2 |
| C2×#11924455 | 2 |
| C2×#11924452 | 2 |
| #14557500 | 2 |
| #14557297 | 2 |
| C2×#137×C37 | 2 |
| #2019 | 37 |