Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
486 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 486 conjugacy classes of subgroups — too many to draw. Only its 87 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. #14530586 | C2 | semidirect |
| 3. #14527546 | C2 | semidirect |
| 4. #14526831 | C2 | semidirect |
| 5. #14526830 | C2 | semidirect |
| 6. #14526829 | C2 | semidirect |
| 7. C17×#1361 | C2 | semidirect |
| 17. C4⋊#63214 | C22 | semidirect |
| 20. #11762562 | C22 | semidirect |
| 23. C17×C4⋊C16 | C22 | semidirect |
| 24. C17×#335 | C22 | semidirect |
| 140. #1361 | D17 | semidirect |
| 171. C4⋊C16 | C2×D17 | semidirect |
| 175. #335 | C2×D17 | semidirect |
| 213. C17 | #11964 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D17×#493 | 2 |
| #14530586 | 2 |
| #14527546 | 2 |
| #14526831 | 2 |
| #14526830 | 2 |
| #14526829 | 2 |
| C17×#1361 | 2 |
| #11964 | 17 |