Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
490 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 179 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. #14531064 | C2 | semidirect |
| 3. #14531061 | C2 | semidirect |
| 4. #14531059 | C2 | semidirect |
| 7. C17×#2252 | C2 | semidirect |
| 47. C16×D17 | Q8 | semidirect |
| 97. #2252 | D17 | semidirect |
| 157. C17 | #33726 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539295 | 2 |
| #14531064 | 2 |
| #14531061 | 2 |
| #14531059 | 2 |
| #14530565 | 2 |
| C4×C16×D17 | 2 |
| C17×#2252 | 2 |
| #33726 | 17 |