Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
382 conjugacy classes of subgroups; only the 116 normal subgroups are shown.
This group has 382 conjugacy classes of subgroups — too many to draw. Only its 116 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. #14545007 | C2 | semidirect |
| 4. #14545005 | C2 | semidirect |
| 5. #14543839 | C2 | semidirect |
| 6. #14543838 | C2 | semidirect |
| 10. C2×#10587530 | C4 | semidirect |
| 14. C2×#10587529 | C4 | semidirect |
| 16. #11763706 | C4 | semidirect |
| 205. C17 | #12617 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763868 | 2 |
| #14545022 | 2 |
| #14545007 | 2 |
| #14545005 | 2 |
| #14543839 | 2 |
| #14543838 | 2 |
| #14528583 | 2 |
| #12617 | 17 |