Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
310 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 92 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. #11762630 | C4 | semidirect |
| 18. #11762629 | C4 | semidirect |
| 19. C17×#364 | C4 | semidirect |
| 132. #364 | #595 | semidirect |
| 165. C17 | #13181 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545136 | 2 |
| #14544720 | 2 |
| #14544586 | 2 |
| #14543859 | 2 |
| D17×#364 | 2 |
| #13181 | 17 |