Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
428 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 77 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 |
|---|---|---|
| 37. C17×C4⋊Q8 | C8 | semidirect |
| 38. #10587630 | C8 | semidirect |
| 39. #10587630 | C8 | semidirect |
| 43. #10587555 | C8 | semidirect |
| 170. C4⋊Q8 | #3633 | semidirect |
| 193. C17 | #11478 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545899 | 2 |
| #14545821 | 2 |
| #14545812 | 2 |
| C4⋊Q8×#595 | 2 |
| #11478 | 17 |