Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
240 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 240 conjugacy classes of subgroups — too many to draw. Only its 76 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 |
|---|---|---|
| 9. #11763731 | C4 | semidirect |
| 14. C8×#3622 | C4 | semidirect |
| 15. C82×C17 | C4 | semidirect |
| 23. #10587535 | C8 | semidirect |
| 25. #10587533 | C8 | semidirect |
| 112. C82 | #595 | semidirect |
| 139. C17 | #7180 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545123 | 2 |
| #14544586 | 2 |
| #14527066 | 2 |
| #7180 | 17 |