Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
404 conjugacy classes of subgroups; only the 130 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 130 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. #14558403 | C2 | semidirect |
| 7. C2×#10596953 | C4 | semidirect |
| 11. #11924615 | C4 | semidirect |
| 16. #11924495 | C4 | semidirect |
| 20. C4⋊C4×D37 | C4 | semidirect |
| 23. #117×C37 | C4 | semidirect |
| 42. C4×#3866 | C2×C4 | semidirect |
| 45. #10596953 | C2×C4 | semidirect |
| 115. C37 | #1733 | semidirect |
| 128. #117 | #3866 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10596953 | 2 |
| C2×#11924615 | 2 |
| #14558403 | 2 |
| #117×D37 | 2 |
| #1733 | 37 |