Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
450 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 2. #14545818 | C2 | semidirect |
| 3. #14545817 | C2 | semidirect |
| 100. C2×C4×C17 | M32 | semidirect |
| 107. C2×Dic17 | M32 | semidirect |
| 196. C17 | #11440 | semidirect |
| 269. 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 |
| #14545818 | 2 |
| #14545817 | 2 |
| C2×#11763810 | 2 |
| #11440 | 17 |