Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
354 conjugacy classes of subgroups; only the 136 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 136 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 |
|---|---|---|
| 10. #11763697 | C4 | semidirect |
| 11. #11763695 | C4 | semidirect |
| 14. #11762585 | C4 | semidirect |
| 15. C16×Dic17 | C4 | semidirect |
| 16. C17×#346 | C4 | semidirect |
| 94. #346 | #595 | semidirect |
| 118. C17 | #12594 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544991 | 2 |
| C4×#10587532 | 2 |
| #14543824 | 2 |
| #14530377 | 2 |
| #12594 | 17 |