Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
266 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 57 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. C22×D296 | C2 | semidirect |
| 2. C2×#11924477 | C2 | semidirect |
| 3. #14557333 | C2 | semidirect |
| 4. C22⋊#10596925 | C2 | semidirect |
| 5. C37×#466 | C2 | semidirect |
| 11. C2×#10596925 | C22 | semidirect |
| 12. C2×D8×C37 | C22 | semidirect |
| 15. #107×C37 | C22 | semidirect |
| 33. D296 | D4 | semidirect |
| 59. C22×C37 | D16 | semidirect |
| 78. #466 | D37 | semidirect |
| 81. C37 | #2184 | semidirect |
| 86. C2×D8 | C2×D37 | semidirect |
| 91. #107 | C2×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 |
|---|---|
| C22×D296 | 2 |
| C2×#11924477 | 2 |
| #14557333 | 2 |
| C22⋊#10596925 | 2 |
| C37×#466 | 2 |
| #2184 | 37 |