Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
258 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 92 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 |
|---|---|---|
| 8. #11763702 | C4 | semidirect |
| 9. #11763701 | C4 | semidirect |
| 16. #11762584 | C4 | semidirect |
| 17. C4×#63214 | C4 | semidirect |
| 18. C16×Dic17 | C4 | semidirect |
| 19. C17×#346 | C4 | semidirect |
| 100. #346 | #595 | semidirect |
| 129. C17 | #12597 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545006 | 2 |
| #14544505 | 2 |
| #14543837 | 2 |
| #14543833 | 2 |
| #14530382 | 2 |
| #12597 | 17 |