Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
266 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 61 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. C2×#11924477 | C2 | semidirect |
| 2. #14557769 | C2 | semidirect |
| 3. #14557334 | C2 | semidirect |
| 4. C22⋊#10596925 | C2 | semidirect |
| 5. C22×D8×C37 | C2 | semidirect |
| 6. C2×D296 | C22 | semidirect |
| 9. C2×#10596925 | C22 | semidirect |
| 10. #11924470 | C22 | semidirect |
| 27. D8×C37 | D4 | semidirect |
| 60. C22×C37 | D16 | semidirect |
| 76. C22×D8 | D37 | semidirect |
| 81. C37 | #2184 | semidirect |
| 104. D8 | C22⋊D37 | semidirect |
| 139. C22 | #11924477 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924477 | 2 |
| #14557769 | 2 |
| #14557334 | 2 |
| C22⋊#10596925 | 2 |
| C22×D8×C37 | 2 |
| #2184 | 37 |