Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
486 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 486 conjugacy classes of subgroups — too many to draw. Only its 112 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×#11763735 | C2 | semidirect |
| 4. #14543842 | 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 |
| 135. C22×C17 | #366 | semidirect |
| 143. C2×D17 | #366 | semidirect |
| 171. C22⋊C16 | #595 | semidirect |
| 202. C2×C16 | C2×#595 | semidirect |
| 209. C17 | #12919 | semidirect |
| 305. C22 | #11763735 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10587534 | 2 |
| C2×#11763735 | 2 |
| #14544661 | 2 |
| #14543842 | 2 |
| D17×C22⋊C16 | 2 |
| #12919 | 17 |