Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
490 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 11. #11763101 | C4 | semidirect |
| 12. #11763091 | C4 | semidirect |
| 254. C17 | #9176 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538585 | 2 |
| #14531701 | 2 |
| #14527283 | 2 |
| #14527180 | 2 |
| #14526686 | 2 |
| #14526642 | 2 |
| C17×#1518 | 2 |
| #9176 | 17 |