Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
470 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 470 conjugacy classes of subgroups — too many to draw. Only its 93 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. #14546037 | C2 | semidirect |
| 2. #14545960 | C2 | semidirect |
| 3. C2×#11763907 | C2 | semidirect |
| 4. #14545862 | C2 | semidirect |
| 45. #10587670 | D4 | semidirect |
| 246. C17 | #12989 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14546037 | 2 |
| #14545960 | 2 |
| C2×#11763907 | 2 |
| #14545862 | 2 |
| #14545503 | 2 |
| #12989 | 17 |