Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
744 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 744 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 2. C4×#10587495 | C2 | semidirect |
| 4. #14527232 | C2 | semidirect |
| 5. #14527230 | C2 | semidirect |
| 6. #14527127 | C2 | semidirect |
| 339. C17 | #8368 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763528 | 2 |
| C4×#10587495 | 2 |
| #14527382 | 2 |
| #14527232 | 2 |
| #14527230 | 2 |
| #14527127 | 2 |
| C17×#1527 | 2 |
| #8368 | 17 |