Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
470 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 470 conjugacy classes of subgroups — too many to draw. Only its 108 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 |
|---|---|---|
| 3. #14543841 | C2 | semidirect |
| 13. C2×#10587489 | C4 | semidirect |
| 17. #107×D17 | C4 | semidirect |
| 19. C2×C17×#107 | C4 | semidirect |
| 152. C2×#107 | #595 | semidirect |
| 192. C17 | #12867 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545009 | 2 |
| #14544661 | 2 |
| #14543841 | 2 |
| C2×#107×D17 | 2 |
| #12867 | 17 |