Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
604 conjugacy classes of subgroups; only the 140 normal subgroups are shown.
This group has 604 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 |
|---|---|---|
| 4. #11763754 | C4 | semidirect |
| 5. #11763753 | C4 | semidirect |
| 14. #11762832 | C4 | semidirect |
| 16. C4×#63223 | C4 | semidirect |
| 17. C4×M16×C17 | C4 | semidirect |
| 124. C4×M16 | #595 | semidirect |
| 160. C17 | #8050 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545231 | 2 |
| #14543664 | 2 |
| #14537415 | 2 |
| #8050 | 17 |