Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
194 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 194 conjugacy classes of subgroups — too many to draw. Only its 65 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 |
|---|---|---|
| 1. C2×#11762649 | C2 | semidirect |
| 4. #14526983 | C2 | semidirect |
| 5. #14526965 | C2 | semidirect |
| 6. #14526964 | C2 | semidirect |
| 86. C22×C17 | Q64 | semidirect |
| 131. C17 | #13695 | semidirect |
| 170. C22 | #11762649 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762649 | 2 |
| C22×#10587465 | 2 |
| #14530875 | 2 |
| #14526983 | 2 |
| #14526965 | 2 |
| #14526964 | 2 |
| C17×#2216 | 2 |
| #13695 | 17 |