Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
386 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 90 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. #14545140 | C2 | semidirect |
| 4. #14543862 | C2 | semidirect |
| 205. C17 | #12924 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D17⋊#430 | 2 |
| #14545140 | 2 |
| #14544665 | 2 |
| #14543862 | 2 |
| D17×#349 | 2 |
| #12924 | 17 |