Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
392 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 32. C17×C4⋊Q8 | C8 | semidirect |
| 33. #10587630 | C8 | semidirect |
| 34. #10587630 | C8 | semidirect |
| 38. #10587555 | C8 | semidirect |
| 161. C4⋊Q8 | #3633 | semidirect |
| 182. C17 | #11482 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545899 | 2 |
| #14545820 | 2 |
| #14545812 | 2 |
| #14545275 | 2 |
| #11482 | 17 |