Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
448 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 76 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. #14545673 | C2 | semidirect |
| 2. #14544255 | C2 | semidirect |
| 3. #14544254 | C2 | semidirect |
| 4. #14544145 | C2 | semidirect |
| 5. #14543641 | C2 | semidirect |
| 6. #14543609 | C2 | semidirect |
| 246. C17 | #9283 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545673 | 2 |
| #14544255 | 2 |
| #14544254 | 2 |
| #14544145 | 2 |
| #14543641 | 2 |
| #14543609 | 2 |
| #14539718 | 2 |
| #9283 | 17 |