Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
306 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 17. #11762561 | C4 | semidirect |
| 19. #11762559 | C4 | semidirect |
| 172. C17 | #9629 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14528921 | 2 |
| C4⋊C4×#3622 | 2 |
| #14527559 | 2 |
| #14527556 | 2 |
| #14527530 | 2 |
| #14526687 | 2 |
| C17×#1303 | 2 |
| #9629 | 17 |