Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
344 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 66 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 |
|---|---|---|
| 5. C2×#10587544 | C4 | semidirect |
| 6. C2×C4⋊#3624 | C4 | semidirect |
| 9. #11763655 | C4 | semidirect |
| 197. C17 | #7252 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544642 | 2 |
| #14544016 | 2 |
| #14528515 | 2 |
| #7252 | 17 |