Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
466 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 112 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×#11763706 | C2 | semidirect |
| 3. C2×#11763705 | C2 | semidirect |
| 4. #14544990 | C2 | semidirect |
| 51. #10587538 | D4 | semidirect |
| 175. Dic17 | #349 | semidirect |
| 240. C17 | #13194 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545118 | 2 |
| C2×#11763706 | 2 |
| C2×#11763705 | 2 |
| #14544990 | 2 |
| C2×#11762884 | 2 |
| #13194 | 17 |