Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
290 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 76 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. #14545205 | C2 | semidirect |
| 2. C2×#11763737 | C2 | semidirect |
| 3. #14543936 | C2 | semidirect |
| 4. #14543935 | C2 | semidirect |
| 9. #11763740 | C22 | semidirect |
| 11. #11763737 | C22 | semidirect |
| 189. C17 | #13620 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545205 | 2 |
| C2×#11763737 | 2 |
| #14543936 | 2 |
| #14543935 | 2 |
| D17×#508 | 2 |
| #13620 | 17 |