Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
176 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 176 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 1. #14531059 | C2 | semidirect |
| 2. #14526985 | C2 | semidirect |
| 3. C4⋊#10587465 | C2 | semidirect |
| 19. C17×D16 | Q8 | semidirect |
| 89. D16 | Dic34 | semidirect |
| 98. C17 | #13705 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14531059 | 2 |
| #14526985 | 2 |
| C4⋊#10587465 | 2 |
| #14526962 | 2 |
| C4×C17×D16 | 2 |
| #13705 | 17 |