Finite Group DatabasebetaFinite Group DatabasebetaOrder 2368.
110 conjugacy classes of subgroups; only the 37 normal subgroups are shown.
This group has 110 conjugacy classes of subgroups — too many to draw. Only its 37 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. #11924527 | C2 | semidirect |
| 3. #11924458 | C2 | semidirect |
| 4. #11924457 | C2 | semidirect |
| 5. #11924456 | C2 | semidirect |
| 6. #11924446 | C2 | semidirect |
| 7. #102×C37 | C2 | semidirect |
| 53. C37 | #490 | semidirect |
| 59. #102 | D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11924532 | 2 |
| #11924527 | 2 |
| #11924458 | 2 |
| #11924457 | 2 |
| #11924456 | 2 |
| #11924446 | 2 |
| #102×C37 | 2 |
| #490 | 37 |