Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
468 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 468 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 |
|---|---|---|
| 1. #14545672 | C2 | semidirect |
| 2. #14544316 | C2 | semidirect |
| 3. #14544109 | C2 | semidirect |
| 4. #14544044 | C2 | semidirect |
| 5. #14543689 | C2 | semidirect |
| 6. #14543642 | C2 | semidirect |
| 310. C17 | #9529 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545672 | 2 |
| #14544316 | 2 |
| #14544109 | 2 |
| #14544044 | 2 |
| #14543689 | 2 |
| #14543642 | 2 |
| #14538870 | 2 |
| #9529 | 17 |