Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
514 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 514 conjugacy classes of subgroups — too many to draw. Only its 84 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. #14545640 | C2 | semidirect |
| 2. #14544245 | C2 | semidirect |
| 3. #14544123 | C2 | semidirect |
| 4. #14544055 | C2 | semidirect |
| 5. #14543649 | C2 | semidirect |
| 6. #14543629 | C2 | semidirect |
| 309. C17 | #9243 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545640 | 2 |
| #14544245 | 2 |
| #14544123 | 2 |
| #14544055 | 2 |
| #14543649 | 2 |
| #14543629 | 2 |
| C2×#11763026 | 2 |
| #9243 | 17 |