Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
358 conjugacy classes of subgroups; only the 140 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 140 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. #11763695 | C4 | semidirect |
| 11. C4×#63216 | C4 | semidirect |
| 14. #11762585 | C4 | semidirect |
| 15. #11762584 | C4 | semidirect |
| 16. C17×#346 | C4 | semidirect |
| 93. #346 | #595 | semidirect |
| 117. C17 | #12592 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#10587529 | 2 |
| #14544440 | 2 |
| #14543821 | 2 |
| D17×#346 | 2 |
| #12592 | 17 |