Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
408 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 93 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. C2×#11762617 | C2 | semidirect |
| 3. #14530494 | C2 | semidirect |
| 4. C2×#11762592 | C2 | semidirect |
| 5. #14528849 | C2 | semidirect |
| 6. #14526892 | C2 | semidirect |
| 7. C2×C17×#366 | C2 | semidirect |
| 54. C2×C16×C17 | D4 | semidirect |
| 159. C2×#366 | D17 | semidirect |
| 240. C2×C16 | D68 | semidirect |
| 251. C17 | #13384 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538456 | 2 |
| C2×#11762617 | 2 |
| #14530494 | 2 |
| C2×#11762592 | 2 |
| #14528849 | 2 |
| #14526892 | 2 |
| C2×C17×#366 | 2 |
| #13384 | 17 |