Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
982 conjugacy classes of subgroups; only the 163 normal subgroups are shown.
This group has 982 conjugacy classes of subgroups — too many to draw. Only its 163 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. #14539164 | C2 | semidirect |
| 3. #14538884 | C2 | semidirect |
| 4. #14528013 | C2 | semidirect |
| 5. #14527226 | C2 | semidirect |
| 6. C17×#1558 | C2 | semidirect |
| 16. #11763159 | C22 | semidirect |
| 18. #11763090 | C22 | semidirect |
| 19. #11763015 | C22 | semidirect |
| 24. #11762536 | C22 | semidirect |
| 27. C17×#333 | C22 | semidirect |
| 136. #1558 | D17 | semidirect |
| 171. #333 | C2×D17 | semidirect |
| 216. C17 | #18552 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763525 | 2 |
| #14539164 | 2 |
| #14538884 | 2 |
| #14528013 | 2 |
| #14527226 | 2 |
| C17×#1558 | 2 |
| #18552 | 17 |