Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
658 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 658 conjugacy classes of subgroups — too many to draw. Only its 103 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. #14533738 | C2 | semidirect |
| 3. #14527465 | C2 | semidirect |
| 4. #14527279 | C2 | semidirect |
| 5. #14527174 | C2 | semidirect |
| 6. #14526686 | C2 | semidirect |
| 7. C17×#3206 | C2 | semidirect |
| 103. C2×D68 | SD16 | semidirect |
| 185. #3206 | D17 | semidirect |
| 294. C17 | #10240 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538244 | 2 |
| #14533738 | 2 |
| #14527465 | 2 |
| #14527279 | 2 |
| #14527174 | 2 |
| #14526686 | 2 |
| C17×#3206 | 2 |
| #10240 | 17 |