Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
278 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 278 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 2. #14557299 | C2 | semidirect |
| 3. C37×#543 | C2 | semidirect |
| 10. C23×D37 | Q8 | semidirect |
| 16. C22×Dic37 | Q8 | semidirect |
| 53. #543 | D37 | semidirect |
| 56. C37 | #2032 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924450 | 2 |
| #14557299 | 2 |
| C37×#543 | 2 |
| #2032 | 37 |