Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
380 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 70 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. #11763652 | C4 | semidirect |
| 10. C23×#3622 | C4 | semidirect |
| 14. C2×C17×C22⋊C8 | C4 | semidirect |
| 32. #10587551 | C8 | semidirect |
| 149. C2×C22⋊C8 | #595 | semidirect |
| 186. C17 | #7204 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#10587551 | 2 |
| #14544023 | 2 |
| #14529074 | 2 |
| #7204 | 17 |