Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
456 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 106 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. #14545753 | C2 | semidirect |
| 2. #14545028 | C2 | semidirect |
| 3. #14545026 | C2 | semidirect |
| 4. #14545020 | C2 | semidirect |
| 5. #14543831 | C2 | semidirect |
| 6. #14543825 | C2 | semidirect |
| 252. C17 | #12986 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545753 | 2 |
| #14545028 | 2 |
| #14545026 | 2 |
| #14545020 | 2 |
| #14543831 | 2 |
| #14543825 | 2 |
| C2×#11762928 | 2 |
| #12986 | 17 |