Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
284 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 86 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 |
|---|---|---|
| 3. #14558497 | C2 | semidirect |
| 4. #14558414 | C2 | semidirect |
| 8. C2×#10596953 | C4 | semidirect |
| 9. C2×#10596957 | C4 | semidirect |
| 12. C2×D37⋊C8 | C4 | semidirect |
| 13. C22×#64438 | C4 | semidirect |
| 15. #11924597 | C4 | semidirect |
| 16. #11924596 | C4 | semidirect |
| 103. C37 | #1757 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924623 | 2 |
| #14558520 | 2 |
| #14558497 | 2 |
| #14558414 | 2 |
| #14557505 | 2 |
| #1757 | 37 |