Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
398 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 63 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. #14530701 | C2 | semidirect |
| 3. #14530104 | C2 | semidirect |
| 4. #14526794 | C2 | semidirect |
| 5. #14526793 | C2 | semidirect |
| 6. #14526723 | C2 | semidirect |
| 7. C17×#2185 | C2 | semidirect |
| 144. C2×Dic17 | SD32 | semidirect |
| 154. #2185 | D17 | semidirect |
| 242. C17 | #12161 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14540090 | 2 |
| #14530701 | 2 |
| #14530104 | 2 |
| #14526794 | 2 |
| #14526793 | 2 |
| #14526723 | 2 |
| C17×#2185 | 2 |
| #12161 | 17 |