Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
778 conjugacy classes of subgroups; only the 253 normal subgroups are shown.
This group has 778 conjugacy classes of subgroups — too many to draw. Only its 253 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×#11924543 | C2 | semidirect |
| 3. #14557537 | C2 | semidirect |
| 4. #14557532 | C2 | semidirect |
| 5. #14557527 | C2 | semidirect |
| 6. C2×#11924456 | C2 | semidirect |
| 7. C37×#520 | C2 | semidirect |
| 9. #11924582 | C4 | semidirect |
| 15. C2×#10596934 | C22 | semidirect |
| 16. C22×#64436 | C22 | semidirect |
| 17. #11924459 | C22 | semidirect |
| 18. #11924459 | C22 | semidirect |
| 19. #11924456 | C22 | semidirect |
| 20. #11924456 | C22 | semidirect |
| 21. #11924456 | C22 | semidirect |
| 25. #117×C37 | C22 | semidirect |
| 26. C2×C4⋊C4×C37 | C22 | semidirect |
| 38. #10596962 | C2×C4 | semidirect |
| 41. C2×D148 | C2×C4 | semidirect |
| 100. #520 | D37 | semidirect |
| 105. C37 | #2897 | semidirect |
| 118. #117 | C2×D37 | semidirect |
| 119. C2×C4⋊C4 | C2×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924582 | 2 |
| C2×#11924543 | 2 |
| #14557537 | 2 |
| #14557532 | 2 |
| #14557527 | 2 |
| C2×#11924456 | 2 |
| C37×#520 | 2 |
| #2897 | 37 |