Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
438 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 110 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. C2×C16×#595 | C2 | semidirect |
| 4. #14544589 | C2 | semidirect |
| 5. #14543846 | C2 | semidirect |
| 6. #14543843 | C2 | semidirect |
| 10. #11763853 | C4 | semidirect |
| 12. #11763851 | C4 | semidirect |
| 18. #11763722 | C4 | semidirect |
| 19. #11763721 | C4 | semidirect |
| 25. #11762617 | C4 | semidirect |
| 26. #11762616 | C4 | semidirect |
| 27. #11762615 | C4 | semidirect |
| 28. C17×#359 | C4 | semidirect |
| 195. #359 | #595 | semidirect |
| 247. C17 | #12641 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D17⋊#443 | 2 |
| #14545091 | 2 |
| C2×C16×#595 | 2 |
| #14544589 | 2 |
| #14543846 | 2 |
| #14543843 | 2 |
| D17×#359 | 2 |
| #12641 | 17 |