Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
460 conjugacy classes of subgroups; only the 202 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 202 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 |
|---|---|---|
| 3. #14558548 | C2 | direct (N × H) |
| 4. C2×#11924607 | C2 | semidirect |
| 5. C2×#11924606 | C2 | semidirect |
| 18. #11924607 | C22 | semidirect |
| 19. #11924606 | C22 | semidirect |
| 105. C2×C37 | #430 | semidirect |
| 116. C37 | C2×#430 | semidirect |
| 217. C2 | #14558548 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10596953 | 2 |
| C2×D37⋊M16 | 2 |
| #14558548 | 2 |
| C2×#11924607 | 2 |
| C2×#11924606 | 2 |
| C2×M16×D37 | 2 |
| C2×#430 | 37 |