Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
648 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 648 conjugacy classes of subgroups — too many to draw. Only its 173 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. #14557413 | C2 | semidirect |
| 3. #14557412 | C2 | semidirect |
| 4. #14557411 | C2 | semidirect |
| 5. #14557410 | C2 | semidirect |
| 6. #14557409 | C2 | semidirect |
| 7. #14557409 | C2 | semidirect |
| 8. #14557400 | C2 | semidirect |
| 9. C37×#386 | C2 | semidirect |
| 15. #11924532 | C4 | semidirect |
| 37. C2×D4×C37 | C2×C4 | semidirect |
| 47. C2×C22⋊D37 | C2×C4 | semidirect |
| 48. C2×C22⋊D37 | C2×C4 | semidirect |
| 56. C2×D148 | C2×C4 | semidirect |
| 67. C4×Dic37 | C2×C4 | semidirect |
| 155. #386 | D37 | semidirect |
| 157. C37 | #2380 | semidirect |
| 194. C2×D4 | C4×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924532 | 2 |
| #14557413 | 2 |
| #14557412 | 2 |
| #14557411 | 2 |
| #14557410 | 2 |
| #14557409 | 2 |
| #14557400 | 2 |
| C37×#386 | 2 |
| #2380 | 37 |