Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
500 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 500 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 |
|---|---|---|
| 1. D17⋊#430 | C2 | semidirect |
| 2. #14545100 | C2 | semidirect |
| 3. #14545018 | C2 | semidirect |
| 4. #14543866 | C2 | semidirect |
| 58. #10587536 | D4 | semidirect |
| 266. C17 | #12998 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D17⋊#430 | 2 |
| #14545100 | 2 |
| #14545018 | 2 |
| #14543866 | 2 |
| #14538395 | 2 |
| #12998 | 17 |