Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
492 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 189 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. #14558010 | C2 | semidirect |
| 3. #14557633 | C2 | semidirect |
| 4. C4×#10596940 | C2 | semidirect |
| 5. #14557569 | C2 | semidirect |
| 6. #14557541 | C2 | semidirect |
| 8. #14557489 | C2 | semidirect |
| 11. C2×#10596940 | C4 | semidirect |
| 16. C4×Dic74 | C22 | semidirect |
| 20. #11924469 | C22 | semidirect |
| 21. #11924467 | C22 | semidirect |
| 22. #11924459 | C22 | semidirect |
| 24. #11924447 | C22 | semidirect |
| 25. C4×#64436 | C22 | semidirect |
| 42. C2×Dic74 | C2×C4 | semidirect |
| 52. #10596940 | C2×C4 | semidirect |
| 53. #10596940 | C2×C4 | semidirect |
| 59. C2×#64436 | C2×C4 | semidirect |
| 113. C37 | #2949 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10596940 | 2 |
| #14558010 | 2 |
| #14557633 | 2 |
| C4×#10596940 | 2 |
| #14557569 | 2 |
| #14557541 | 2 |
| #14557538 | 2 |
| #14557489 | 2 |
| C37×#518 | 2 |
| #2949 | 37 |