Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
282 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 91 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. #11763902 | C4 | semidirect |
| 9. #11763899 | C4 | semidirect |
| 29. #10587534 | C8 | semidirect |
| 34. C17×#107 | C8 | semidirect |
| 35. #10587489 | C8 | semidirect |
| 154. #107 | #3633 | semidirect |
| 162. C17 | #7171 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763902 | 2 |
| C2×#11763899 | 2 |
| #107×#595 | 2 |
| #7171 | 17 |