Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
936 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 936 conjugacy classes of subgroups — too many to draw. Only its 155 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×#11763559 | C2 | semidirect |
| 2. #14539970 | C2 | semidirect |
| 3. #14528093 | C2 | semidirect |
| 4. #14528080 | C2 | semidirect |
| 5. #14527408 | C2 | semidirect |
| 6. #14527385 | C2 | semidirect |
| 16. #11763215 | C22 | semidirect |
| 17. #11763173 | C22 | semidirect |
| 22. #11762550 | C22 | semidirect |
| 269. C17 | #18994 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763559 | 2 |
| #14539970 | 2 |
| #14528093 | 2 |
| #14528080 | 2 |
| #14527408 | 2 |
| #14527385 | 2 |
| C17×#3153 | 2 |
| #18994 | 17 |