Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
542 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 542 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 3. #14527348 | C2 | semidirect |
| 4. #14526629 | C2 | semidirect |
| 5. C17×#3162 | C2 | semidirect |
| 62. C2×C8×C17 | SD16 | semidirect |
| 103. #3162 | D17 | semidirect |
| 168. C17 | #10220 | semidirect |
| 186. C2×C8 | #63230 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539722 | 2 |
| #14529608 | 2 |
| #14527348 | 2 |
| #14526629 | 2 |
| C17×#3162 | 2 |
| #10220 | 17 |