Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
540 conjugacy classes of subgroups; only the 162 normal subgroups are shown.
This group has 540 conjugacy classes of subgroups — too many to draw. Only its 162 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. #14558484 | C2 | semidirect |
| 3. #14558483 | C2 | semidirect |
| 4. #14558476 | C2 | semidirect |
| 5. #14558475 | C2 | semidirect |
| 6. C4×C4⋊#3866 | C2 | semidirect |
| 7. #14558469 | C2 | semidirect |
| 22. C4×D148 | C4 | semidirect |
| 23. D4×Dic37 | C4 | semidirect |
| 24. #11924498 | C4 | semidirect |
| 25. C4×C22⋊D37 | C4 | semidirect |
| 26. #11924496 | C4 | semidirect |
| 30. C4×D4×C37 | C4 | semidirect |
| 141. C37 | #2319 | semidirect |
| 149. C4×D4 | #3866 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558485 | 2 |
| #14558484 | 2 |
| #14558483 | 2 |
| #14558476 | 2 |
| #14558475 | 2 |
| C4×C4⋊#3866 | 2 |
| #14558469 | 2 |
| C4×D4×D37 | 2 |
| #2319 | 37 |