Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1294 conjugacy classes of subgroups; only the 216 normal subgroups are shown.
This group has 1294 conjugacy classes of subgroups — too many to draw. Only its 216 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. C2×#11763678 | C2 | semidirect |
| 149. C2×D17 | #338 | semidirect |
| 207. C17 | C22⋊#338 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D17⋊#407 | 2 |
| C2×#11763678 | 2 |
| C22×M16×D17 | 2 |
| C22⋊#338 | 17 |