Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
518 conjugacy classes of subgroups; only the 120 normal subgroups are shown.
This group has 518 conjugacy classes of subgroups — too many to draw. Only its 120 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×#11763730 | C2 | semidirect |
| 2. C2×#11763673 | C2 | semidirect |
| 3. #14543798 | C2 | direct (N × H) |
| 8. #11763730 | C22 | semidirect |
| 10. #11763673 | C22 | semidirect |
| 169. C2×C17 | #1361 | semidirect |
| 204. C17 | C2×#1361 | semidirect |
| 305. C2 | #14543798 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763730 | 2 |
| C2×#11763673 | 2 |
| #14543798 | 2 |
| C2×#11763184 | 2 |
| C2×#1361 | 17 |