Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
386 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 93 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. #14530585 | C2 | semidirect |
| 3. #14530582 | C2 | semidirect |
| 4. #14526743 | C2 | semidirect |
| 5. #14526742 | C2 | semidirect |
| 6. #14526741 | C2 | semidirect |
| 7. C17×#1330 | C2 | semidirect |
| 18. C4⋊#63214 | C22 | semidirect |
| 22. #11762585 | C22 | semidirect |
| 25. C17×C4⋊C16 | C22 | semidirect |
| 26. C17×#346 | C22 | semidirect |
| 150. #1330 | D17 | semidirect |
| 184. C4⋊C16 | C2×D17 | semidirect |
| 188. #346 | C2×D17 | semidirect |
| 231. C17 | #11634 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D17×#436 | 2 |
| #14530585 | 2 |
| #14530582 | 2 |
| #14526743 | 2 |
| #14526742 | 2 |
| #14526741 | 2 |
| C17×#1330 | 2 |
| #11634 | 17 |