Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
626 conjugacy classes of subgroups; only the 199 normal subgroups are shown.
This group has 626 conjugacy classes of subgroups — too many to draw. Only its 199 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. #14529746 | C2 | semidirect |
| 3. #14528944 | C2 | semidirect |
| 4. C2×#11762530 | C2 | semidirect |
| 16. C17×#492 | C4 | semidirect |
| 102. C8×C17 | #102 | semidirect |
| 129. #492 | Dic17 | semidirect |
| 168. C17 | #9842 | semidirect |
| 228. C8 | #10587503 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14529746 | 2 |
| #14529591 | 2 |
| #14528944 | 2 |
| C2×#11762530 | 2 |
| C2×C17×#492 | 2 |
| #9842 | 17 |