Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
670 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 670 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. C4×#10587504 | C2 | semidirect |
| 3. #14527226 | C2 | semidirect |
| 4. #14526676 | C2 | semidirect |
| 5. C17×#2973 | C2 | semidirect |
| 54. C17×C4⋊C8 | D4 | semidirect |
| 170. #2973 | D17 | semidirect |
| 262. C4⋊C8 | C22⋊D17 | semidirect |
| 273. C17 | #9031 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14532063 | 2 |
| C4×#10587504 | 2 |
| #14527226 | 2 |
| #14526676 | 2 |
| C17×#2973 | 2 |
| #9031 | 17 |