Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
440 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 145 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. #14558090 | C2 | semidirect |
| 3. #14557834 | C2 | semidirect |
| 4. #14557824 | C2 | semidirect |
| 5. #14557814 | C2 | semidirect |
| 6. #14557575 | C2 | semidirect |
| 8. C37×#423 | C2 | semidirect |
| 11. #11924536 | C22 | semidirect |
| 12. #11924536 | C22 | semidirect |
| 13. #11924528 | C22 | semidirect |
| 25. #11924470 | C22 | semidirect |
| 26. #11924468 | C22 | semidirect |
| 31. C4⋊C8×C37 | C22 | semidirect |
| 32. C4⋊C8×C37 | C22 | semidirect |
| 40. C2×D148 | Q8 | semidirect |
| 122. #423 | D37 | semidirect |
| 124. C37 | #3077 | semidirect |
| 145. C4⋊C8 | C2×D37 | semidirect |
| 146. C4⋊C8 | C2×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558090 | 2 |
| C2×C4×D148 | 2 |
| #14557834 | 2 |
| #14557824 | 2 |
| #14557814 | 2 |
| #14557575 | 2 |
| #14557539 | 2 |
| C37×#423 | 2 |
| #3077 | 37 |