Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
342 conjugacy classes of subgroups; only the 42 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 42 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. #14543714 | C2 | semidirect |
| 2. #14543604 | C2 | semidirect |
| 14. C17×2−1+4 | C8 | semidirect |
| 142. 2−1+4 | #3624 | semidirect |
| 158. C17 | #7345 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14543714 | 2 |
| #14543604 | 2 |
| #14528743 | 2 |
| #7345 | 17 |