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. #14558016 | C2 | semidirect |
| 3. #14557539 | C2 | semidirect |
| 4. #14557535 | C2 | semidirect |
| 5. #14557530 | C2 | semidirect |
| 6. C2×#11924458 | C2 | semidirect |
| 7. C2×#131×C37 | C2 | semidirect |
| 9. #11924582 | C4 | semidirect |
| 16. #11924495 | C22 | semidirect |
| 17. C2×C4⋊Dic37 | C22 | semidirect |
| 18. #11924461 | C22 | semidirect |
| 19. #11924461 | C22 | semidirect |
| 20. #11924458 | C22 | semidirect |
| 21. #11924458 | C22 | semidirect |
| 22. #11924458 | C22 | semidirect |
| 25. C2×M16×C37 | C22 | semidirect |
| 26. C22×C8×C37 | C22 | semidirect |
| 38. #10596962 | C2×C4 | semidirect |
| 41. C2×D148 | C2×C4 | semidirect |
| 99. C2×#131 | D37 | semidirect |
| 105. C37 | #2897 | semidirect |
| 114. C2×M16 | C2×D37 | semidirect |
| 115. C22×C8 | 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 |
| #14558016 | 2 |
| #14557539 | 2 |
| #14557535 | 2 |
| #14557530 | 2 |
| C2×#11924458 | 2 |
| C2×#131×C37 | 2 |
| #2897 | 37 |