Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
536 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 536 conjugacy classes of subgroups — too many to draw. Only its 97 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. #14539273 | C2 | semidirect |
| 3. #14530521 | C2 | semidirect |
| 4. #14530504 | C2 | semidirect |
| 5. #14529683 | C2 | semidirect |
| 6. #14526871 | C2 | semidirect |
| 7. C2×C17×#510 | C2 | semidirect |
| 190. C2×#510 | D17 | semidirect |
| 297. C17 | #13335 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14541918 | 2 |
| #14539273 | 2 |
| #14530521 | 2 |
| #14530504 | 2 |
| #14529683 | 2 |
| #14526871 | 2 |
| C2×C17×#510 | 2 |
| #13335 | 17 |