Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
338 conjugacy classes of subgroups; only the 132 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 132 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 |
|---|---|---|
| 10. #11763697 | C4 | semidirect |
| 11. #11763695 | C4 | semidirect |
| 14. #11762584 | C4 | semidirect |
| 15. C4×#63214 | C4 | semidirect |
| 16. C4×C16×C17 | C4 | semidirect |
| 95. C4×C16 | #595 | semidirect |
| 117. C17 | #12593 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544991 | 2 |
| #14544440 | 2 |
| #14543824 | 2 |
| C4×#10587469 | 2 |
| #12593 | 17 |