Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
532 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 100 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. #14544728 | C2 | semidirect |
| 4. #14544727 | C2 | semidirect |
| 5. #14543627 | C2 | semidirect |
| 6. #14543627 | C2 | semidirect |
| 128. C22⋊C4×C17 | M16 | semidirect |
| 136. C22⋊Dic17 | M16 | semidirect |
| 326. C17 | #8852 | semidirect |
| 387. C22⋊C4 | #63247 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545635 | 2 |
| #14544757 | 2 |
| #14544728 | 2 |
| #14544727 | 2 |
| #14543627 | 2 |
| #99×Dic17 | 2 |
| #8852 | 17 |