Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
170 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 61 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. #14526985 | C2 | semidirect |
| 3. #14526983 | C2 | semidirect |
| 4. C4⋊#10587465 | C2 | semidirect |
| 7. C17×#2253 | C2 | semidirect |
| 64. #2253 | D17 | semidirect |
| 112. C17 | #13707 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×D272 | 2 |
| #14526985 | 2 |
| #14526983 | 2 |
| C4⋊#10587465 | 2 |
| #14526961 | 2 |
| C17×#2253 | 2 |
| #13707 | 17 |