Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
368 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 69 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×#11924451 | C2 | semidirect |
| 3. #14557325 | C2 | direct (N × H) |
| 4. C2×#99×C37 | C2 | semidirect |
| 5. C22×D148 | C4 | semidirect |
| 10. #11924532 | C4 | semidirect |
| 13. C2×C4×Dic37 | C4 | semidirect |
| 15. #11924451 | C22 | semidirect |
| 19. #99×C37 | C22 | semidirect |
| 42. C2×D148 | C2×C4 | semidirect |
| 48. C4×Dic37 | C2×C4 | semidirect |
| 118. C2×C37 | #353 | semidirect |
| 123. C2×#99 | D37 | semidirect |
| 125. C37 | C2×#353 | semidirect |
| 140. #99 | C2×D37 | semidirect |
| 239. C2 | #14557325 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924532 | 2 |
| C2×#11924451 | 2 |
| #14557325 | 2 |
| C2×#99×C37 | 2 |
| C2×#353 | 37 |