Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
512 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 111 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. #14531258 | C2 | semidirect |
| 4. #14527214 | C2 | semidirect |
| 5. #14526687 | C2 | semidirect |
| 6. #14526616 | C2 | semidirect |
| 10. #11763091 | C4 | semidirect |
| 11. #11763006 | C4 | semidirect |
| 118. C4×Dic17 | SD16 | semidirect |
| 267. C17 | #9238 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538811 | 2 |
| #14531258 | 2 |
| #14529613 | 2 |
| #14527214 | 2 |
| #14526687 | 2 |
| #14526616 | 2 |
| C17×#1502 | 2 |
| #9238 | 17 |