Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
270 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 270 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 1. C2×#11924471 | C2 | semidirect |
| 2. #14557559 | C2 | semidirect |
| 5. #14557294 | C2 | semidirect |
| 6. #14557287 | C2 | semidirect |
| 16. #11924460 | C4 | semidirect |
| 17. #11924460 | C4 | semidirect |
| 18. #11924457 | C4 | semidirect |
| 19. #11924457 | C4 | semidirect |
| 117. C37 | #1866 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924471 | 2 |
| #14557559 | 2 |
| C2×#11924463 | 2 |
| #14557529 | 2 |
| #14557294 | 2 |
| #14557287 | 2 |
| C2×#131×C37 | 2 |
| #1866 | 37 |