Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
268 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 268 conjugacy classes of subgroups — too many to draw. Only its 71 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. #14530824 | C2 | semidirect |
| 3. #14526848 | C2 | semidirect |
| 4. #14526829 | C2 | semidirect |
| 5. C17×#1591 | C2 | semidirect |
| 75. C8×C17 | SD32 | semidirect |
| 79. #1591 | D17 | semidirect |
| 126. C17 | #12492 | semidirect |
| 166. C8 | #10587499 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530824 | 2 |
| #14528399 | 2 |
| #14526848 | 2 |
| #14526829 | 2 |
| C17×#1591 | 2 |
| #12492 | 17 |