Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
440 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 35. C17×C4⋊Q8 | C8 | semidirect |
| 40. #10587574 | C8 | semidirect |
| 42. #10587555 | C8 | semidirect |
| 177. C4⋊Q8 | #3633 | semidirect |
| 195. C17 | #7604 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545927 | 2 |
| #14545784 | 2 |
| C4⋊Q8×#595 | 2 |
| #7604 | 17 |