Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
454 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 454 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. #14544337 | C2 | semidirect |
| 4. #14544335 | C2 | semidirect |
| 5. #14543617 | C2 | semidirect |
| 6. #14543617 | C2 | semidirect |
| 96. M16×C17 | M16 | semidirect |
| 110. #63223 | M16 | semidirect |
| 244. C17 | #8837 | semidirect |
| 269. M16 | #63247 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545646 | 2 |
| #14544905 | 2 |
| #14544337 | 2 |
| #14544335 | 2 |
| #14543617 | 2 |
| #100×Dic17 | 2 |
| #8837 | 17 |