Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
382 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 382 conjugacy classes of subgroups — too many to draw. Only its 107 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. #14530587 | C2 | semidirect |
| 3. #14526741 | C2 | semidirect |
| 4. C17×#2163 | C2 | semidirect |
| 15. #11762585 | C22 | semidirect |
| 17. C17×C4⋊C16 | C22 | semidirect |
| 107. #2163 | D17 | semidirect |
| 135. C4⋊C16 | C2×D17 | semidirect |
| 170. C17 | #11636 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762888 | 2 |
| #14530587 | 2 |
| #14526741 | 2 |
| C17×#2163 | 2 |
| #11636 | 17 |