Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
536 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 536 conjugacy classes of subgroups — too many to draw. Only its 101 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. C4×#10587587 | C2 | semidirect |
| 3. #14527376 | C2 | semidirect |
| 4. #14527221 | C2 | semidirect |
| 5. #14526673 | C2 | semidirect |
| 6. #14526621 | C2 | semidirect |
| 7. C17×#1492 | C2 | semidirect |
| 187. #1492 | D17 | semidirect |
| 295. C17 | #9211 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538838 | 2 |
| C4×#10587587 | 2 |
| #14527376 | 2 |
| #14527221 | 2 |
| #14526673 | 2 |
| #14526621 | 2 |
| C17×#1492 | 2 |
| #9211 | 17 |