Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
432 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 1. C23×#64436 | C2 | semidirect |
| 3. C2×#11924456 | C2 | semidirect |
| 4. #14557295 | C2 | semidirect |
| 5. C37×#380 | C2 | semidirect |
| 12. #11924510 | C4 | semidirect |
| 46. C2×#64436 | D4 | semidirect |
| 82. C22×C37 | #102 | semidirect |
| 110. #380 | D37 | semidirect |
| 112. C37 | #1893 | semidirect |
| 194. C22 | #11924456 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×#64436 | 2 |
| C2×#11924510 | 2 |
| C2×#11924456 | 2 |
| #14557295 | 2 |
| C37×#380 | 2 |
| #1893 | 37 |