Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
186 conjugacy classes of subgroups; only the 22 normal subgroups are shown.
This group has 186 conjugacy classes of subgroups — too many to draw. Only its 22 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 |
|---|---|---|
| 1. #14543916 | C2 | semidirect |
| 5. #11763186 | C4 | semidirect |
| 7. C82×C17 | C4 | semidirect |
| 53. C82 | #595 | semidirect |
| 66. C17 | #7529 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14543916 | 2 |
| #14528399 | 2 |
| #7529 | 17 |