Finite Group DatabasebetaFinite Group DatabasebetaOrder 2368.
158 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 51 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. #11924492 | C2 | semidirect |
| 3. #11924451 | C2 | semidirect |
| 4. #11924450 | C2 | semidirect |
| 5. #99×C37 | C2 | semidirect |
| 7. C2×C22⋊D37 | C4 | semidirect |
| 9. C22×Dic37 | C4 | semidirect |
| 13. C2×C4×D37 | C4 | semidirect |
| 14. C2×Dic74 | C4 | semidirect |
| 58. C37 | #410 | semidirect |
| 63. #99 | D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10596964 | 2 |
| #11924492 | 2 |
| #11924451 | 2 |
| #11924450 | 2 |
| #99×C37 | 2 |
| #410 | 37 |