Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
366 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 90 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 |
|---|---|---|
| 1. #14544335 | C2 | semidirect |
| 4. #14543991 | C2 | semidirect |
| 5. #14543630 | C2 | semidirect |
| 6. #14543617 | C2 | semidirect |
| 227. C17 | #9552 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544335 | 2 |
| #14544085 | 2 |
| C2×#11763657 | 2 |
| #14543991 | 2 |
| #14543630 | 2 |
| #14543617 | 2 |
| #14528575 | 2 |
| #9552 | 17 |