Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
330 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 330 conjugacy classes of subgroups — too many to draw. Only its 85 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. #14527556 | C2 | semidirect |
| 5. #14526680 | C2 | semidirect |
| 6. #14526642 | C2 | semidirect |
| 7. C17×#1286 | C2 | semidirect |
| 127. #1286 | D17 | semidirect |
| 196. C17 | #10642 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14528791 | 2 |
| #14528773 | 2 |
| #14527556 | 2 |
| #14527174 | 2 |
| #14526680 | 2 |
| #14526642 | 2 |
| C17×#1286 | 2 |
| #10642 | 17 |