Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
354 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 74 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. #14544726 | C2 | semidirect |
| 3. #14544349 | C2 | semidirect |
| 5. #14543678 | C2 | semidirect |
| 6. #14543669 | C2 | semidirect |
| 242. C17 | #8916 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545742 | 2 |
| #14544726 | 2 |
| #14544349 | 2 |
| #14544142 | 2 |
| #14543678 | 2 |
| #14543669 | 2 |
| #14527371 | 2 |
| #8916 | 17 |