Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
606 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 606 conjugacy classes of subgroups — too many to draw. Only its 145 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 |
| 36. #10587630 | C8 | semidirect |
| 40. #10587555 | C8 | semidirect |
| 121. C4×C17 | Q8⋊C8 | semidirect |
| 124. Dic17 | Q8⋊C8 | semidirect |
| 149. C4⋊Q8 | #3633 | semidirect |
| 168. C17 | #9637 | semidirect |
| 246. C4 | Q8⋊#3633 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545928 | 2 |
| C42×#3633 | 2 |
| C2×Q8⋊#3633 | 2 |
| C4⋊Q8×#595 | 2 |
| #9637 | 17 |