Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
332 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 107 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. #14527547 | C2 | semidirect |
| 3. #14526749 | C2 | semidirect |
| 4. #14526746 | C2 | semidirect |
| 5. C2×C4×C16×C17 | C2 | semidirect |
| 117. C2×C4×C16 | D17 | semidirect |
| 192. C17 | #11673 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539354 | 2 |
| #14527547 | 2 |
| #14526749 | 2 |
| #14526746 | 2 |
| C2×C4×C16×C17 | 2 |
| #11673 | 17 |