Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
470 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 470 conjugacy classes of subgroups — too many to draw. Only its 97 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×#11763931 | C2 | semidirect |
| 2. C2×#11763910 | C2 | semidirect |
| 3. C2×#11763909 | C2 | semidirect |
| 4. #14545955 | C2 | semidirect |
| 5. #14545859 | C2 | semidirect |
| 6. #14545855 | C2 | semidirect |
| 264. C17 | #12980 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763931 | 2 |
| C2×#11763910 | 2 |
| C2×#11763909 | 2 |
| #14545955 | 2 |
| #14545859 | 2 |
| #14545855 | 2 |
| C2×#11763852 | 2 |
| #12980 | 17 |