Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
444 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 82 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 |
|---|---|---|
| 3. #14544108 | C2 | semidirect |
| 4. #14544107 | C2 | semidirect |
| 5. #14543616 | C2 | semidirect |
| 6. #14543616 | C2 | semidirect |
| 255. C17 | #9067 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545665 | 2 |
| #14544239 | 2 |
| #14544108 | 2 |
| #14544107 | 2 |
| #14543616 | 2 |
| #14539103 | 2 |
| #9067 | 17 |