Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
700 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 700 conjugacy classes of subgroups — too many to draw. Only its 149 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. C2×#11924567 | C2 | semidirect |
| 3. C22×#10596942 | C2 | semidirect |
| 4. #14557693 | C2 | semidirect |
| 5. #14557688 | C2 | semidirect |
| 6. #14557541 | C2 | semidirect |
| 7. #14557527 | C2 | semidirect |
| 8. #14557500 | C2 | semidirect |
| 9. C37×#536 | C2 | semidirect |
| 144. #536 | D37 | semidirect |
| 150. C37 | #3011 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924583 | 2 |
| C2×#11924567 | 2 |
| C22×#10596942 | 2 |
| #14557693 | 2 |
| #14557688 | 2 |
| #14557541 | 2 |
| #14557527 | 2 |
| #14557500 | 2 |
| C37×#536 | 2 |
| #3011 | 37 |