Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
594 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 594 conjugacy classes of subgroups — too many to draw. Only its 107 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. #14529764 | C2 | semidirect |
| 5. #14527347 | C2 | semidirect |
| 6. #14526612 | C2 | semidirect |
| 7. C17×#1286 | C2 | semidirect |
| 11. #11763182 | C4 | semidirect |
| 12. #11763156 | C4 | semidirect |
| 50. #10587555 | C2×C4 | semidirect |
| 51. #10587555 | C2×C4 | semidirect |
| 58. C4×C8×C17 | C2×C4 | semidirect |
| 115. C4×Dic17 | SD16 | semidirect |
| 169. #1286 | D17 | semidirect |
| 256. C4×C8 | C4×D17 | semidirect |
| 261. C17 | #9295 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539727 | 2 |
| #14531507 | 2 |
| #14529764 | 2 |
| #14527453 | 2 |
| #14527347 | 2 |
| #14526612 | 2 |
| C17×#1286 | 2 |
| #9295 | 17 |