Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
412 conjugacy classes of subgroups; only the 102 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 102 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. #14545001 | C2 | semidirect |
| 4. #14544604 | C2 | semidirect |
| 5. #14543863 | C2 | semidirect |
| 6. #14543853 | C2 | semidirect |
| 13. #11763728 | C4 | semidirect |
| 14. #11763727 | C4 | semidirect |
| 15. #11763724 | C4 | semidirect |
| 16. #11763723 | C4 | semidirect |
| 268. C17 | #12651 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545112 | 2 |
| #14545098 | 2 |
| #14545001 | 2 |
| #14544604 | 2 |
| #14543863 | 2 |
| #14543853 | 2 |
| D17×#444 | 2 |
| #12651 | 17 |