Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
288 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 288 conjugacy classes of subgroups — too many to draw. Only its 65 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 |
|---|---|---|
| 3. #14528185 | C2 | semidirect |
| 4. #14526833 | C2 | semidirect |
| 5. #14526764 | C2 | semidirect |
| 7. C17×#2241 | C2 | semidirect |
| 108. #2241 | D17 | semidirect |
| 176. C17 | #12387 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14541774 | 2 |
| #14530928 | 2 |
| #14528185 | 2 |
| #14526833 | 2 |
| #14526764 | 2 |
| #14526746 | 2 |
| C17×#2241 | 2 |
| #12387 | 17 |