Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
468 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 100 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. #11763675 | C4 | semidirect |
| 12. C2×C4×#3622 | C4 | semidirect |
| 14. C2×C4×C8×C17 | C4 | semidirect |
| 33. (C2×#595)⋊C4 | C8 | semidirect |
| 170. C2×C4×C8 | #595 | semidirect |
| 211. C17 | #7024 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544641 | 2 |
| #14543960 | 2 |
| C4×#10587491 | 2 |
| #7024 | 17 |