Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
420 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 82 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. #14544666 | C2 | semidirect |
| 3. #14543873 | C2 | semidirect |
| 14. #11762832 | C4 | semidirect |
| 16. #11762776 | C4 | semidirect |
| 17. C2×#10587486 | C4 | semidirect |
| 18. C2×C17×#131 | C4 | semidirect |
| 136. C2×#131 | #595 | semidirect |
| 183. C17 | #12808 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545055 | 2 |
| #14544666 | 2 |
| #14543873 | 2 |
| #14537500 | 2 |
| #12808 | 17 |