Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
438 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 87 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. #14545952 | C2 | semidirect |
| 2. #14545817 | C2 | semidirect |
| 3. #14545806 | C2 | semidirect |
| 91. C22×D17 | M32 | semidirect |
| 98. C2×C4×C17 | M32 | semidirect |
| 188. C17 | #11466 | semidirect |
| 255. C2×C4 | #10587666 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545952 | 2 |
| #14545817 | 2 |
| #14545806 | 2 |
| C2×#11763837 | 2 |
| #11466 | 17 |