Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
536 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 536 conjugacy classes of subgroups — too many to draw. Only its 96 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. C2×#11763865 | C2 | semidirect |
| 2. C2×#11763727 | C2 | semidirect |
| 3. #14544663 | C2 | semidirect |
| 4. #14543858 | C2 | semidirect |
| 57. #10587530 | D4 | semidirect |
| 179. C2×D17 | #361 | semidirect |
| 256. C17 | #13067 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763865 | 2 |
| C2×#11763727 | 2 |
| #14544663 | 2 |
| #14543858 | 2 |
| D17×#466 | 2 |
| #13067 | 17 |