Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
374 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 131 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 |
|---|---|---|
| 2. C2×#11762638 | C2 | semidirect |
| 4. #14526877 | C2 | semidirect |
| 133. C17 | #12838 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10587483 | 2 |
| C2×#11762638 | 2 |
| #14528822 | 2 |
| #14526877 | 2 |
| C17×#1810 | 2 |
| #12838 | 17 |