Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
362 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 111 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. #14530566 | C2 | semidirect |
| 4. #14526886 | C2 | semidirect |
| 5. C17×#1384 | C2 | semidirect |
| 9. C2×#10587469 | C4 | semidirect |
| 11. C2×C16×D17 | C4 | semidirect |
| 91. #1384 | D17 | semidirect |
| 143. C17 | #12839 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763227 | 2 |
| #14530566 | 2 |
| #14528827 | 2 |
| #14526886 | 2 |
| C17×#1384 | 2 |
| #12839 | 17 |