Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
532 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 149 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×#11924569 | C2 | semidirect |
| 3. C22×#10596942 | C2 | semidirect |
| 4. #14558107 | C2 | semidirect |
| 5. #14558104 | C2 | semidirect |
| 6. #14557926 | C2 | semidirect |
| 7. #14557924 | C2 | semidirect |
| 8. #14557914 | C2 | semidirect |
| 9. #14557911 | C2 | semidirect |
| 10. #14557491 | C2 | semidirect |
| 11. C2×#137×C37 | C2 | semidirect |
| 145. C2×#137 | D37 | semidirect |
| 155. C37 | #3156 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924569 | 2 |
| C2×#11924556 | 2 |
| C22×#10596942 | 2 |
| #14558107 | 2 |
| #14558104 | 2 |
| #14557926 | 2 |
| #14557924 | 2 |
| #14557914 | 2 |
| #14557911 | 2 |
| #14557491 | 2 |
| C2×#137×C37 | 2 |
| #3156 | 37 |