Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
392 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 392 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. #14557593 | C2 | semidirect |
| 3. #14557557 | C2 | semidirect |
| 5. M16×Dic37 | C2 | semidirect |
| 6. C37×#423 | C2 | semidirect |
| 14. C4⋊#64436 | C22 | semidirect |
| 16. #11924446 | C22 | semidirect |
| 17. C8×Dic37 | C22 | semidirect |
| 20. C4⋊C8×C37 | C22 | semidirect |
| 79. #423 | D37 | semidirect |
| 82. C37 | #2921 | semidirect |
| 93. C4⋊C8 | C2×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924493 | 2 |
| #14557593 | 2 |
| #14557557 | 2 |
| #14557496 | 2 |
| M16×Dic37 | 2 |
| C37×#423 | 2 |
| #2921 | 37 |