Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
816 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 816 conjugacy classes of subgroups — too many to draw. Only its 123 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. #14529598 | C2 | semidirect |
| 3. C2×#11762551 | C2 | semidirect |
| 4. C2×#11762548 | C2 | semidirect |
| 5. C17×#1992 | C2 | semidirect |
| 8. #11763557 | C4 | semidirect |
| 131. #1992 | D17 | semidirect |
| 209. C17 | #8508 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763557 | 2 |
| #14529598 | 2 |
| C2×#11762551 | 2 |
| C2×#11762548 | 2 |
| C17×#1992 | 2 |
| #8508 | 17 |