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. #14531066 | C2 | semidirect |
| 3. #14531062 | C2 | semidirect |
| 4. #14531057 | C2 | semidirect |
| 7. C17×#2254 | C2 | semidirect |
| 47. C16×D17 | Q8 | semidirect |
| 90. #2254 | D17 | semidirect |
| 148. C17 | #33726 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539295 | 2 |
| #14531066 | 2 |
| #14531062 | 2 |
| #14531057 | 2 |
| #14530567 | 2 |
| C4×C16×D17 | 2 |
| C17×#2254 | 2 |
| #33726 | 17 |