Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
390 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 91 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 |
|---|---|---|
| 3. C2×#11924460 | C2 | semidirect |
| 5. #14557440 | C2 | semidirect |
| 6. #14557287 | C2 | semidirect |
| 7. C22×Q16×C37 | C2 | semidirect |
| 126. C22×Q16 | D37 | semidirect |
| 133. C37 | #2015 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10596941 | 2 |
| C2×#11924525 | 2 |
| C2×#11924460 | 2 |
| C2×#11924458 | 2 |
| #14557440 | 2 |
| #14557287 | 2 |
| C22×Q16×C37 | 2 |
| #2015 | 37 |