Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
532 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 96 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. #101×#595 | C2 | semidirect |
| 4. #14543880 | C2 | semidirect |
| 16. #11763718 | C4 | semidirect |
| 17. #11763717 | C4 | semidirect |
| 21. #11762606 | C4 | semidirect |
| 22. #11762605 | C4 | semidirect |
| 23. C17×#355 | C4 | semidirect |
| 53. #10587545 | C2×C4 | semidirect |
| 56. C17×#101 | C2×C4 | semidirect |
| 57. #10587507 | C2×C4 | semidirect |
| 172. #595 | #355 | direct (N × H) |
| 195. #355 | #595 | direct (N × H) |
| 234. #101 | C2×#595 | semidirect |
| 239. C17 | C4×#355 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #124×#595 | 2 |
| D17⋊#355 | 2 |
| #101×#595 | 2 |
| #14543880 | 2 |
| D17×#355 | 2 |
| C4×#355 | 17 |