Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
784 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 784 conjugacy classes of subgroups — too many to draw. Only its 155 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 |
|---|---|---|
| 3. #14528111 | C2 | semidirect |
| 205. C17 | #19067 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14543279 | 2 |
| #14539994 | 2 |
| #14528111 | 2 |
| #14527422 | 2 |
| #14527398 | 2 |
| C17×#3162 | 2 |
| #19067 | 17 |