Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
450 conjugacy classes of subgroups; only the 114 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 114 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. #14545118 | C2 | semidirect |
| 2. C2×#11763708 | C2 | semidirect |
| 3. C2×#11763707 | C2 | semidirect |
| 4. C2×#11763695 | C2 | semidirect |
| 47. C2×#63216 | D4 | semidirect |
| 140. Dic17 | #350 | semidirect |
| 193. C17 | #13191 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545118 | 2 |
| C2×#11763708 | 2 |
| C2×#11763707 | 2 |
| C2×#11763695 | 2 |
| #14537492 | 2 |
| #13191 | 17 |