Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
208 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 208 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 4. #14526850 | C2 | semidirect |
| 5. #14526849 | C2 | semidirect |
| 6. #14526849 | C2 | semidirect |
| 7. C17×#1368 | C2 | semidirect |
| 92. #1368 | D17 | semidirect |
| 142. C17 | #12029 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530585 | 2 |
| #14527538 | 2 |
| #14527529 | 2 |
| #14526850 | 2 |
| #14526849 | 2 |
| C17×#1368 | 2 |
| #12029 | 17 |