Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
284 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 88 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. #14558496 | C2 | semidirect |
| 4. #14558415 | C2 | semidirect |
| 8. #11924597 | C4 | semidirect |
| 9. #11924596 | C4 | semidirect |
| 17. C2×#10596934 | C4 | semidirect |
| 18. C2×#10596929 | C4 | semidirect |
| 20. C2×C8×D37 | C4 | semidirect |
| 22. C22×C8×C37 | C4 | semidirect |
| 99. C37 | #1757 | semidirect |
| 109. C22×C8 | #3866 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558519 | 2 |
| #14558512 | 2 |
| #14558496 | 2 |
| #14558415 | 2 |
| C2×#11924542 | 2 |
| #1757 | 37 |