Finite Group DatabasebetaFinite Group DatabasebetaOrder 3776.
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. #14273718 | C2 | semidirect |
| 3. #14273649 | C2 | semidirect |
| 4. #14273648 | C2 | semidirect |
| 5. #14273647 | C2 | semidirect |
| 6. #14273637 | C2 | semidirect |
| 7. #102×C59 | C2 | semidirect |
| 53. C59 | #490 | semidirect |
| 59. #102 | D59 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14273723 | 2 |
| #14273718 | 2 |
| #14273649 | 2 |
| #14273648 | 2 |
| #14273647 | 2 |
| #14273637 | 2 |
| #102×C59 | 2 |
| #490 | 59 |