Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1296 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 1296 conjugacy classes of subgroups — too many to draw. Only its 143 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. #14531398 | C2 | semidirect |
| 3. #14528716 | C2 | semidirect |
| 4. #14526664 | C2 | semidirect |
| 5. C2×C17×#323 | C2 | semidirect |
| 12. #11762718 | C4 | semidirect |
| 35. C22×D68 | C2×C4 | semidirect |
| 48. C2×C4⋊Dic17 | D4 | semidirect |
| 54. #10587502 | C2×C4 | semidirect |
| 136. C23×C17 | #102 | semidirect |
| 194. C2×#323 | D17 | semidirect |
| 299. C17 | #9017 | semidirect |
| 402. C23 | #10587492 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762718 | 2 |
| #14531398 | 2 |
| #14528716 | 2 |
| #14526664 | 2 |
| C2×C17×#323 | 2 |
| #9017 | 17 |