Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
530 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 530 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 |
|---|---|---|
| 33. C17×C4⋊Q8 | C8 | semidirect |
| 34. #10587630 | C8 | semidirect |
| 38. #10587555 | C8 | semidirect |
| 144. C4⋊Q8 | #3633 | semidirect |
| 161. C17 | #9641 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545926 | 2 |
| #14545918 | 2 |
| C2×Q8⋊#3633 | 2 |
| C4⋊Q8×#595 | 2 |
| #9641 | 17 |