Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
450 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 105 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. #14545973 | C2 | semidirect |
| 2. C2×#11763910 | C2 | semidirect |
| 3. C4×#10587665 | C2 | semidirect |
| 29. #10587665 | D4 | semidirect |
| 99. C4×C17 | #350 | semidirect |
| 143. C17 | #13191 | semidirect |
| 201. C4 | #11763910 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545973 | 2 |
| C2×#11763910 | 2 |
| C4×#10587665 | 2 |
| #14545509 | 2 |
| #13191 | 17 |