Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
958 conjugacy classes of subgroups; only the 171 normal subgroups are shown.
This group has 958 conjugacy classes of subgroups — too many to draw. Only its 171 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×#11763215 | C2 | semidirect |
| 3. #14528093 | C2 | direct (N × H) |
| 4. C2×#11762550 | C2 | semidirect |
| 16. #11763215 | C22 | semidirect |
| 20. #11762550 | C22 | semidirect |
| 194. C2×C17 | #1660 | semidirect |
| 243. C17 | C2×#1660 | semidirect |
| 334. C2 | #14528093 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763559 | 2 |
| C2×#11763215 | 2 |
| #14528093 | 2 |
| C2×#11762550 | 2 |
| C2×#11762549 | 2 |
| C2×C17×#497 | 2 |
| C2×#1660 | 17 |