Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
376 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 93 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. #14545980 | C2 | semidirect |
| 3. #14545974 | C2 | semidirect |
| 5. #14545863 | C2 | semidirect |
| 6. #14545858 | C2 | semidirect |
| 248. C17 | #12918 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14546038 | 2 |
| #14545980 | 2 |
| #14545974 | 2 |
| #14545967 | 2 |
| #14545863 | 2 |
| #14545858 | 2 |
| #14544560 | 2 |
| #12918 | 17 |