Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
842 conjugacy classes of subgroups; only the 250 normal subgroups are shown.
This group has 842 conjugacy classes of subgroups — too many to draw. Only its 250 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 |
|---|---|---|
| 7. C2×#10587532 | C4 | semidirect |
| 8. C2×C8×#595 | C4 | semidirect |
| 9. #11763677 | C4 | semidirect |
| 11. #11762567 | C4 | semidirect |
| 12. C17×#338 | C4 | semidirect |
| 97. #338 | #595 | semidirect |
| 121. C17 | #10699 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763775 | 2 |
| #14544456 | 2 |
| D17×#338 | 2 |
| #10699 | 17 |