Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
448 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 448 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. C22×Dic148 | C2 | semidirect |
| 3. #14557808 | C2 | direct (N × H) |
| 4. C2×#11924472 | C2 | semidirect |
| 5. C2×#11924454 | C2 | semidirect |
| 13. C2×Dic148 | C22 | semidirect |
| 17. #11924472 | C22 | semidirect |
| 18. #11924454 | C22 | semidirect |
| 102. C2×C37 | #473 | semidirect |
| 110. C37 | C2×#473 | semidirect |
| 205. C2 | #14557808 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924566 | 2 |
| C22×Dic148 | 2 |
| #14557808 | 2 |
| C2×#11924472 | 2 |
| C2×#11924454 | 2 |
| C2×#131×C37 | 2 |
| C2×#473 | 37 |