Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
306 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 29. C4×C8×C17 | C8 | semidirect |
| 30. C8×Dic17 | C8 | semidirect |
| 31. C8×Dic17 | C8 | semidirect |
| 32. C4×#3622 | C8 | semidirect |
| 129. C4×C8 | #3633 | semidirect |
| 130. C17 | #8800 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545794 | 2 |
| #14545789 | 2 |
| #14545788 | 2 |
| C4×#10587532 | 2 |
| #8800 | 17 |