Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
428 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 92 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. #14544708 | C2 | semidirect |
| 2. #14544134 | C2 | semidirect |
| 3. #14544133 | C2 | semidirect |
| 6. C8×#63242 | C2 | semidirect |
| 221. C17 | #9857 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544708 | 2 |
| #14544134 | 2 |
| #14544133 | 2 |
| #14544131 | 2 |
| C8×#63242 | 2 |
| #14539108 | 2 |
| #9857 | 17 |