Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
388 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 133 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×#11924446 | C2 | semidirect |
| 4. C4⋊C4×Dic37 | C2 | semidirect |
| 5. #14557296 | C2 | semidirect |
| 6. #14557295 | C2 | semidirect |
| 11. D4×Dic37 | C4 | semidirect |
| 17. #11924457 | C4 | semidirect |
| 23. #102×C37 | C4 | semidirect |
| 42. C2×C8×C37 | C2×C4 | semidirect |
| 44. C4⋊C4×C37 | C2×C4 | semidirect |
| 49. C4⋊Dic37 | C2×C4 | semidirect |
| 55. C2×#64436 | C2×C4 | semidirect |
| 67. D4×C37 | C42 | semidirect |
| 131. C37 | #1762 | semidirect |
| 145. #102 | Dic37 | semidirect |
| 169. C2×C8 | C2×Dic37 | semidirect |
| 175. C4⋊C4 | C2×Dic37 | semidirect |
| 191. D4 | C4×Dic37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D4×Dic37 | 2 |
| C2×#11924457 | 2 |
| C2×#11924446 | 2 |
| C4⋊C4×Dic37 | 2 |
| #14557296 | 2 |
| #14557295 | 2 |
| C2×#102×C37 | 2 |
| #1762 | 37 |