Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
360 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 88 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×#11924605 | C2 | semidirect |
| 4. #14558407 | C2 | semidirect |
| 17. C22⋊#64436 | C4 | semidirect |
| 18. #11924448 | C4 | semidirect |
| 19. C22⋊C8×C37 | C4 | semidirect |
| 41. C2×C8×C37 | C2×C4 | semidirect |
| 42. C2×#64436 | C2×C4 | semidirect |
| 80. C22×C37 | #107 | semidirect |
| 88. C2×D37 | #107 | semidirect |
| 117. C37 | #1852 | semidirect |
| 130. C22⋊C8 | #3866 | semidirect |
| 150. C2×C8 | C2×#3866 | semidirect |
| 205. C22 | #11924605 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4⋊#3866 | 2 |
| C2×#11924605 | 2 |
| #14558475 | 2 |
| #14558407 | 2 |
| C22⋊C8×D37 | 2 |
| #1852 | 37 |