Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
346 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 346 conjugacy classes of subgroups — too many to draw. Only its 85 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. #14558008 | C2 | semidirect |
| 3. #14557549 | C2 | semidirect |
| 4. #14557506 | C2 | semidirect |
| 5. #14557305 | C2 | semidirect |
| 6. #14557289 | C2 | semidirect |
| 7. C37×#418 | C2 | semidirect |
| 11. C2×#10596940 | C4 | semidirect |
| 12. C2×#10596939 | C4 | semidirect |
| 39. C2×D148 | C2×C4 | semidirect |
| 41. C2×Dic74 | C2×C4 | semidirect |
| 59. C2×#64436 | C2×C4 | semidirect |
| 119. #418 | D37 | semidirect |
| 123. C37 | #1904 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924562 | 2 |
| #14558008 | 2 |
| #14557549 | 2 |
| #14557506 | 2 |
| #14557305 | 2 |
| #14557289 | 2 |
| C37×#418 | 2 |
| #1904 | 37 |