Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
378 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 378 conjugacy classes of subgroups — too many to draw. Only its 117 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. #14528944 | C2 | semidirect |
| 4. #14526876 | C2 | semidirect |
| 5. C17×#1374 | C2 | semidirect |
| 109. #1374 | D17 | semidirect |
| 173. C17 | #13480 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762611 | 2 |
| #14529650 | 2 |
| #14528944 | 2 |
| #14526876 | 2 |
| C17×#1374 | 2 |
| #13480 | 17 |