Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
416 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 95 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. #14529560 | C2 | semidirect |
| 3. #14527472 | C2 | semidirect |
| 5. #14527186 | C2 | semidirect |
| 6. #14526634 | C2 | semidirect |
| 240. C17 | #10553 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539158 | 2 |
| #14529560 | 2 |
| #14527472 | 2 |
| #14527452 | 2 |
| #14527186 | 2 |
| #14526634 | 2 |
| C2×C17×#331 | 2 |
| #10553 | 17 |