Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
1160 conjugacy classes of subgroups; only the 269 normal subgroups are shown.
This group has 1160 conjugacy classes of subgroups — too many to draw. Only its 269 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 |
|---|---|---|
| 2. C22×C22⋊Dic37 | C2 | semidirect |
| 3. #14557412 | C2 | semidirect |
| 4. #14557410 | C2 | semidirect |
| 5. #14557394 | C2 | semidirect |
| 6. #14557388 | C2 | semidirect |
| 7. C22×C22⋊C4×C37 | C2 | semidirect |
| 11. C22×C22⋊D37 | C4 | semidirect |
| 15. C23×Dic37 | C22 | semidirect |
| 18. C2×C22⋊Dic37 | C22 | semidirect |
| 19. C2×#10596938 | C22 | semidirect |
| 20. #11924443 | C22 | semidirect |
| 22. C23×C4×C37 | C22 | semidirect |
| 25. C2×C22⋊C4×C37 | C22 | semidirect |
| 36. C23×D37 | C2×C4 | semidirect |
| 46. C2×C22⋊D37 | C2×C4 | semidirect |
| 47. C2×C22⋊D37 | C2×C4 | semidirect |
| 52. C22×Dic37 | C2×C4 | semidirect |
| 66. C23×C37 | C22⋊C4 | semidirect |
| 133. C22×C22⋊C4 | D37 | semidirect |
| 138. C37 | #2308 | semidirect |
| 148. C23×C4 | C2×D37 | semidirect |
| 155. C2×C22⋊C4 | C2×D37 | semidirect |
| 205. C23 | #10596938 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×C22⋊D37 | 2 |
| C22×C22⋊Dic37 | 2 |
| #14557412 | 2 |
| #14557410 | 2 |
| #14557394 | 2 |
| #14557388 | 2 |
| C22×C22⋊C4×C37 | 2 |
| #2308 | 37 |