Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
694 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 694 conjugacy classes of subgroups — too many to draw. Only its 112 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×#11763827 | C2 | semidirect |
| 3. #14543960 | C2 | semidirect |
| 4. #14543657 | C2 | semidirect |
| 17. #11762711 | C4 | semidirect |
| 18. #11762710 | C4 | semidirect |
| 19. #11762705 | C4 | semidirect |
| 24. C17×#389 | C4 | semidirect |
| 233. #389 | #595 | semidirect |
| 291. C17 | #9114 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763827 | 2 |
| C2×#11763661 | 2 |
| #14543960 | 2 |
| #14543657 | 2 |
| #14537117 | 2 |
| #9114 | 17 |