Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
474 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 11. #11763105 | C4 | semidirect |
| 12. #11763020 | C4 | semidirect |
| 114. C4×Dic17 | Q16 | semidirect |
| 248. C17 | #9236 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538824 | 2 |
| #14531258 | 2 |
| #14529760 | 2 |
| #14527282 | 2 |
| #14527212 | 2 |
| #14526616 | 2 |
| C17×#1303 | 2 |
| #9236 | 17 |