Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
184 conjugacy classes of subgroups; only the 52 normal subgroups are shown.
This group has 184 conjugacy classes of subgroups — too many to draw. Only its 52 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. #14545185 | C2 | semidirect |
| 2. #14543948 | C2 | semidirect |
| 3. #14543936 | C2 | semidirect |
| 4. #14543890 | C2 | semidirect |
| 12. #11762646 | C4 | semidirect |
| 13. D544 | C4 | semidirect |
| 15. C17×Q64 | C4 | semidirect |
| 66. Q64 | #595 | semidirect |
| 90. C17 | #13656 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545185 | 2 |
| #14543948 | 2 |
| #14543936 | 2 |
| #14543890 | 2 |
| #14531094 | 2 |
| #13656 | 17 |