Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
668 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 668 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 3. #14545785 | C2 | semidirect |
| 25. C22×Q8×C17 | C8 | semidirect |
| 30. C2×Q8×D17 | C8 | semidirect |
| 35. C22×Dic34 | C8 | semidirect |
| 231. C22×Q8 | #3633 | semidirect |
| 255. C17 | #7575 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545924 | 2 |
| C4×C22⋊#3633 | 2 |
| #14545785 | 2 |
| C2×(C2×#595)⋊Q8 | 2 |
| #7575 | 17 |