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 |
|---|---|---|
| 2. #14557830 | C2 | semidirect |
| 3. #14557820 | C2 | semidirect |
| 4. #14557810 | C2 | semidirect |
| 5. #14557576 | C2 | semidirect |
| 6. #14557557 | C2 | semidirect |
| 8. C37×#533 | C2 | semidirect |
| 18. #11924469 | C22 | semidirect |
| 19. #11924467 | C22 | semidirect |
| 20. C4⋊#64436 | C22 | semidirect |
| 21. C4⋊#64436 | C22 | semidirect |
| 24. C4⋊Q8×C37 | C22 | semidirect |
| 25. C4⋊Q8×C37 | C22 | semidirect |
| 26. #125×C37 | C22 | semidirect |
| 42. C2×D148 | Q8 | semidirect |
| 116. #533 | D37 | semidirect |
| 124. C37 | #3077 | semidirect |
| 128. C4⋊Q8 | C2×D37 | semidirect |
| 129. C4⋊Q8 | C2×D37 | semidirect |
| 130. #125 | C2×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D148 | 2 |
| #14557830 | 2 |
| #14557820 | 2 |
| #14557810 | 2 |
| #14557576 | 2 |
| #14557557 | 2 |
| #14557537 | 2 |
| C37×#533 | 2 |
| #3077 | 37 |