Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
396 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 67 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. #14530964 | C2 | semidirect |
| 3. #14526792 | C2 | semidirect |
| 4. #14526708 | C2 | semidirect |
| 5. C17×#2075 | C2 | semidirect |
| 13. C22⋊#63214 | C22 | semidirect |
| 14. C2×C17×#107 | C22 | semidirect |
| 18. C17×#340 | C22 | semidirect |
| 116. #2075 | D17 | semidirect |
| 145. C2×#107 | C2×D17 | semidirect |
| 152. #340 | C2×D17 | semidirect |
| 184. C17 | #12278 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539535 | 2 |
| #14530964 | 2 |
| #14526792 | 2 |
| #14526708 | 2 |
| C17×#2075 | 2 |
| #12278 | 17 |