Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
686 conjugacy classes of subgroups; only the 136 normal subgroups are shown.
This group has 686 conjugacy classes of subgroups — too many to draw. Only its 136 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 |
|---|---|---|
| 14. #11762716 | C4 | semidirect |
| 17. #11762679 | C4 | semidirect |
| 20. C2×C17×C4⋊Q8 | C4 | semidirect |
| 181. C4×C17 | #328 | semidirect |
| 186. C2×C4⋊Q8 | #595 | semidirect |
| 244. C17 | #9679 | semidirect |
| 373. C4 | #11763663 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#10587543 | 2 |
| C2×#11763663 | 2 |
| #14543962 | 2 |
| #14537131 | 2 |
| #9679 | 17 |