Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
510 conjugacy classes of subgroups; only the 132 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 132 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 |
|---|---|---|
| 14. #11763207 | C4 | semidirect |
| 16. #11763205 | C4 | semidirect |
| 19. C17×#498 | C4 | semidirect |
| 97. C8×C17 | #103 | semidirect |
| 98. #3622 | #103 | semidirect |
| 121. #498 | #595 | semidirect |
| 161. C17 | #9841 | semidirect |
| 214. C8 | #10587549 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544965 | 2 |
| #14544911 | 2 |
| #14544720 | 2 |
| #14543978 | 2 |
| D17×#498 | 2 |
| #9841 | 17 |