Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
144 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 144 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 |
|---|---|---|
| 3. #14557363 | C2 | semidirect |
| 4. #14557362 | C2 | semidirect |
| 5. C37×#368 | C2 | semidirect |
| 53. D37 | #368 | direct (N × H) |
| 58. #368 | D37 | direct (N × H) |
| 59. C37 | C2×#368 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C16×D37 | 2 |
| #108×D37 | 2 |
| #14557363 | 2 |
| #14557362 | 2 |
| C37×#368 | 2 |
| C2×#368 | 37 |