Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
636 conjugacy classes of subgroups; only the 351 normal subgroups are shown.
This group has 636 conjugacy classes of subgroups — too many to draw. Only its 351 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 |
|---|---|---|
| 3. #14530558 | C2 | semidirect |
| 4. C2×#11762633 | C2 | semidirect |
| 7. #11763226 | C4 | semidirect |
| 35. #10587483 | C2×C4 | semidirect |
| 37. C2×#63214 | C2×C4 | semidirect |
| 121. C17 | #33404 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14541887 | 2 |
| #14537379 | 2 |
| #14530558 | 2 |
| C2×#11762633 | 2 |
| C17×#2916 | 2 |
| #33404 | 17 |