Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
440 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 440 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 |
|---|---|---|
| 2. #14544716 | C2 | semidirect |
| 3. #14544337 | C2 | semidirect |
| 5. #14543630 | C2 | semidirect |
| 6. #14543612 | C2 | semidirect |
| 95. C42×C17 | M16 | semidirect |
| 116. #63223 | M16 | semidirect |
| 256. C17 | #8841 | semidirect |
| 306. C42 | #63247 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545703 | 2 |
| #14544716 | 2 |
| #14544337 | 2 |
| #14544079 | 2 |
| #14543630 | 2 |
| #14543612 | 2 |
| #104×Dic17 | 2 |
| #8841 | 17 |