Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
554 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 554 conjugacy classes of subgroups — too many to draw. Only its 131 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. #14529611 | C2 | semidirect |
| 3. C4×C8×Dic17 | C2 | semidirect |
| 4. #14527234 | C2 | semidirect |
| 5. C17×#1567 | C2 | semidirect |
| 7. #11763214 | C4 | semidirect |
| 8. #11763186 | C4 | semidirect |
| 9. #11763156 | C4 | semidirect |
| 75. C4×Dic17 | D8 | semidirect |
| 105. C8×C17 | #104 | semidirect |
| 110. #1567 | D17 | semidirect |
| 174. C17 | #9844 | semidirect |
| 233. C8 | #10587496 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539363 | 2 |
| #14529611 | 2 |
| C4×C8×Dic17 | 2 |
| #14527234 | 2 |
| C17×#1567 | 2 |
| #9844 | 17 |