Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
450 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 3. #14526875 | C2 | semidirect |
| 4. #14526862 | C2 | semidirect |
| 5. C2×C17×#500 | C2 | semidirect |
| 32. C2×D136 | Q8 | semidirect |
| 111. C2×#500 | D17 | semidirect |
| 182. C17 | #13363 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762609 | 2 |
| #14529650 | 2 |
| #14526875 | 2 |
| #14526862 | 2 |
| C2×C17×#500 | 2 |
| #13363 | 17 |