Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
378 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 378 conjugacy classes of subgroups — too many to draw. Only its 109 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. #14530578 | C2 | semidirect |
| 5. #14526898 | C2 | semidirect |
| 6. #14526880 | C2 | semidirect |
| 7. C2×C17×#368 | C2 | semidirect |
| 18. #11762592 | C4 | semidirect |
| 123. C2×#368 | D17 | semidirect |
| 193. C17 | #12927 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537392 | 2 |
| #14530578 | 2 |
| C2×#11762592 | 2 |
| #14528839 | 2 |
| #14526898 | 2 |
| #14526880 | 2 |
| C2×C17×#368 | 2 |
| #12927 | 17 |