Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
284 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 9. #11924535 | C4 | semidirect |
| 10. #11924527 | C4 | semidirect |
| 33. C42×C37 | Q8 | semidirect |
| 45. C4×Dic37 | Q8 | semidirect |
| 94. C37 | #1994 | semidirect |
| 135. C42 | Dic74 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558086 | 2 |
| #14557556 | 2 |
| C42×Dic37 | 2 |
| #14557294 | 2 |
| #14557293 | 2 |
| #14557292 | 2 |
| C37×#339 | 2 |
| #1994 | 37 |