Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
430 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 88 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. #14544133 | C2 | semidirect |
| 3. #14544094 | C2 | semidirect |
| 5. #14543676 | C2 | semidirect |
| 6. #14543613 | C2 | semidirect |
| 283. C17 | #8994 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545484 | 2 |
| #14544133 | 2 |
| #14544094 | 2 |
| #14544078 | 2 |
| #14543676 | 2 |
| #14543613 | 2 |
| #14538575 | 2 |
| #8994 | 17 |