Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
532 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 532 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 |
|---|---|---|
| 1. C2×#11924567 | C2 | semidirect |
| 2. C2×#11924566 | C2 | semidirect |
| 4. C22×#10596942 | C2 | semidirect |
| 5. #14558109 | C2 | semidirect |
| 6. #14557928 | C2 | semidirect |
| 7. #14557925 | C2 | semidirect |
| 8. #14557915 | C2 | semidirect |
| 9. #14557912 | C2 | semidirect |
| 10. #14557489 | C2 | semidirect |
| 11. C37×#536 | C2 | semidirect |
| 149. #536 | D37 | semidirect |
| 155. C37 | #3156 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924567 | 2 |
| C2×#11924566 | 2 |
| C2×#11924556 | 2 |
| C22×#10596942 | 2 |
| #14558109 | 2 |
| #14557928 | 2 |
| #14557925 | 2 |
| #14557915 | 2 |
| #14557912 | 2 |
| #14557489 | 2 |
| C37×#536 | 2 |
| #3156 | 37 |