Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1510 conjugacy classes of subgroups; only the 228 normal subgroups are shown.
This group has 1510 conjugacy classes of subgroups — too many to draw. Only its 228 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 |
|---|---|---|
| 6. #11763752 | C4 | semidirect |
| 12. C22×#63225 | C4 | semidirect |
| 14. C22×C4×Dic17 | C4 | semidirect |
| 15. C22×C42×C17 | C4 | semidirect |
| 167. C22×C42 | #595 | semidirect |
| 208. C17 | #10726 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763752 | 2 |
| C2×#11763687 | 2 |
| C22×#10587558 | 2 |
| #10726 | 17 |