Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1172 conjugacy classes of subgroups; only the 297 normal subgroups are shown.
This group has 1172 conjugacy classes of subgroups — too many to draw. Only its 297 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×#11763931 | C2 | semidirect |
| 2. #14545956 | C2 | semidirect |
| 3. #14545952 | C2 | semidirect |
| 4. #14545949 | C2 | semidirect |
| 7. C2×#10587666 | C22 | semidirect |
| 8. C2×#10587665 | C22 | semidirect |
| 9. #11763906 | C22 | semidirect |
| 10. #11763906 | C22 | semidirect |
| 122. C22×C17 | #504 | semidirect |
| 185. C17 | #33334 | semidirect |
| 260. C22 | #11763931 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763931 | 2 |
| #14545956 | 2 |
| #14545952 | 2 |
| #14545949 | 2 |
| C22×#10587680 | 2 |
| #33334 | 17 |