Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
458 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 100 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. C2×#11763734 | C2 | semidirect |
| 4. #14543849 | C2 | semidirect |
| 17. C22⋊#63214 | C4 | semidirect |
| 18. #11762588 | C4 | semidirect |
| 19. C17×C22⋊C16 | C4 | semidirect |
| 43. C2×C16×C17 | C2×C4 | semidirect |
| 44. C2×#63214 | C2×C4 | semidirect |
| 128. C22×C17 | #365 | semidirect |
| 136. C2×D17 | #365 | semidirect |
| 158. C22⋊C16 | #595 | semidirect |
| 186. C2×C16 | C2×#595 | semidirect |
| 194. C17 | #12929 | semidirect |
| 279. C22 | #11763734 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10587533 | 2 |
| C2×#11763734 | 2 |
| #14544663 | 2 |
| #14543849 | 2 |
| #14530393 | 2 |
| #12929 | 17 |