Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
552 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 95 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. #14536851 | C2 | semidirect |
| 5. C2×#11762550 | C2 | semidirect |
| 6. #14526666 | C2 | semidirect |
| 7. C2×C17×#330 | C2 | semidirect |
| 168. C2×#330 | D17 | semidirect |
| 265. C17 | #10080 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763175 | 2 |
| C2×#11763174 | 2 |
| #14536851 | 2 |
| #14529608 | 2 |
| C2×#11762550 | 2 |
| #14526666 | 2 |
| C2×C17×#330 | 2 |
| #10080 | 17 |