Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
386 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 117 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. C2×#11924501 | C2 | semidirect |
| 3. #14557868 | C2 | semidirect |
| 4. #14557843 | C2 | semidirect |
| 5. #14557754 | C2 | semidirect |
| 6. #14557691 | C2 | semidirect |
| 8. #14557639 | C2 | semidirect |
| 9. #14557630 | C2 | semidirect |
| 10. #14557587 | C2 | semidirect |
| 143. C37 | #3117 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558064 | 2 |
| C2×#11924501 | 2 |
| #14557868 | 2 |
| #14557843 | 2 |
| #14557754 | 2 |
| #14557691 | 2 |
| #14557671 | 2 |
| #14557639 | 2 |
| #14557630 | 2 |
| #14557587 | 2 |
| C37×#481 | 2 |
| #3117 | 37 |