Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
138 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 138 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. #14557351 | C2 | semidirect |
| 3. #14557351 | C2 | semidirect |
| 5. #14557308 | C2 | semidirect |
| 6. C16×Dic37 | C2 | semidirect |
| 74. C37 | #2164 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557488 | 2 |
| #14557351 | 2 |
| C22⋊#10596925 | 2 |
| #14557308 | 2 |
| C16×Dic37 | 2 |
| C37×C22⋊C16 | 2 |
| #2164 | 37 |