Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
242 conjugacy classes of subgroups; only the 104 normal subgroups are shown.
This group has 242 conjugacy classes of subgroups — too many to draw. Only its 104 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. #14543810 | C2 | semidirect |
| 4. #14543809 | C2 | semidirect |
| 37. #10587469 | C8 | semidirect |
| 56. C16×C17 | C2×C8 | semidirect |
| 58. #63214 | C2×C8 | semidirect |
| 130. C17 | #12000 | semidirect |
| 151. C16 | #63242 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544332 | 2 |
| #14544326 | 2 |
| #14543810 | 2 |
| #14543809 | 2 |
| C4×#10587469 | 2 |
| #12000 | 17 |