Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
312 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 93 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. C2×#11924461 | C2 | semidirect |
| 4. C2×#11924454 | C2 | semidirect |
| 5. #14557301 | C2 | semidirect |
| 6. #14557298 | C2 | semidirect |
| 10. #11924566 | C4 | semidirect |
| 124. C37 | #1908 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924566 | 2 |
| #14557534 | 2 |
| C2×#11924461 | 2 |
| C2×#11924454 | 2 |
| #14557301 | 2 |
| #14557298 | 2 |
| C2×#131×C37 | 2 |
| #1908 | 37 |