Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
384 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 384 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. #14557589 | C2 | semidirect |
| 4. #14557560 | C2 | semidirect |
| 7. M16×Dic37 | C2 | semidirect |
| 8. C2×#11924446 | C2 | semidirect |
| 9. C37×#424 | C2 | semidirect |
| 98. #424 | D37 | semidirect |
| 103. C37 | #2923 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558001 | 2 |
| #14557593 | 2 |
| #14557589 | 2 |
| #14557560 | 2 |
| #14557501 | 2 |
| #14557499 | 2 |
| M16×Dic37 | 2 |
| C2×#11924446 | 2 |
| C37×#424 | 2 |
| #2923 | 37 |