Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
594 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 594 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 4. #14527348 | C2 | semidirect |
| 5. #14526644 | C2 | semidirect |
| 6. #14526613 | C2 | semidirect |
| 7. C17×#1995 | C2 | semidirect |
| 10. #11763183 | C4 | semidirect |
| 11. #11763157 | C4 | semidirect |
| 32. C17×C4⋊Q8 | C2×C4 | semidirect |
| 33. C17×C4⋊Q8 | C2×C4 | semidirect |
| 66. C4×#3622 | C2×C4 | semidirect |
| 105. C42×C17 | SD16 | semidirect |
| 166. #1995 | D17 | semidirect |
| 227. C4⋊Q8 | C4×D17 | semidirect |
| 228. C4⋊Q8 | C4×D17 | semidirect |
| 261. C17 | #9295 | semidirect |
| 308. C42 | #63230 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539722 | 2 |
| #14531509 | 2 |
| #14527453 | 2 |
| #14527348 | 2 |
| #14526644 | 2 |
| #14526613 | 2 |
| C17×#1995 | 2 |
| #9295 | 17 |