Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
240 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 240 conjugacy classes of subgroups — too many to draw. Only its 63 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. #14530835 | C2 | semidirect |
| 4. #14527590 | C2 | semidirect |
| 5. #14526853 | C2 | semidirect |
| 6. #14526832 | C2 | semidirect |
| 158. C17 | #12429 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530835 | 2 |
| #14530821 | 2 |
| #14528389 | 2 |
| #14527590 | 2 |
| #14526853 | 2 |
| #14526832 | 2 |
| C17×#1361 | 2 |
| #12429 | 17 |