Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
444 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 83 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. #14558007 | C2 | semidirect |
| 3. #14557539 | C2 | semidirect |
| 4. #14557537 | C2 | semidirect |
| 5. C2×#11924452 | C2 | semidirect |
| 6. #14557293 | C2 | semidirect |
| 7. C37×#339 | C2 | semidirect |
| 13. #11924533 | C4 | semidirect |
| 40. C2×D148 | C2×C4 | semidirect |
| 46. C4⋊C4×C37 | D4 | semidirect |
| 50. C42×C37 | C2×C4 | semidirect |
| 53. C4⋊Dic37 | D4 | semidirect |
| 121. #339 | D37 | semidirect |
| 122. C37 | #1887 | semidirect |
| 165. C4⋊C4 | D148 | semidirect |
| 172. C42 | C4×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924533 | 2 |
| #14558007 | 2 |
| #14557539 | 2 |
| #14557537 | 2 |
| C2×#11924452 | 2 |
| #14557293 | 2 |
| C37×#339 | 2 |
| #1887 | 37 |