Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
490 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#11924566 | C2 | semidirect |
| 2. C22×#10596940 | C2 | semidirect |
| 3. #14558010 | C2 | semidirect |
| 4. #14557752 | C2 | semidirect |
| 5. #14557730 | C2 | semidirect |
| 6. #14557560 | C2 | semidirect |
| 7. #14557538 | C2 | semidirect |
| 8. #14557529 | C2 | semidirect |
| 12. C2×#10596942 | C22 | semidirect |
| 15. C2×#10596940 | C22 | semidirect |
| 18. C4×Dic74 | C22 | semidirect |
| 22. C4⋊#64436 | C22 | semidirect |
| 23. #11924460 | C22 | semidirect |
| 25. #11924457 | C22 | semidirect |
| 49. C2×Dic74 | D4 | semidirect |
| 126. C37 | #3043 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924566 | 2 |
| C22×#10596940 | 2 |
| #14558010 | 2 |
| #14557752 | 2 |
| #14557730 | 2 |
| #14557560 | 2 |
| #14557538 | 2 |
| #14557529 | 2 |
| C37×#535 | 2 |
| #3043 | 37 |