Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
316 conjugacy classes of subgroups; only the 54 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 54 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. #14545087 | C2 | semidirect |
| 2. #14545080 | C2 | semidirect |
| 3. #14543927 | C2 | semidirect |
| 4. #14543926 | C2 | semidirect |
| 5. #14543920 | C2 | semidirect |
| 6. #14543920 | C2 | semidirect |
| 219. C17 | #13611 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545087 | 2 |
| #14545080 | 2 |
| #14543927 | 2 |
| #14543926 | 2 |
| #14543920 | 2 |
| #14539848 | 2 |
| #13611 | 17 |