Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
356 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 101 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×M32 | Q8 | semidirect |
| 37. C17×#107 | Q8 | semidirect |
| 48. #10587483 | Q8 | semidirect |
| 156. M32 | Dic34 | semidirect |
| 161. #107 | Dic34 | semidirect |
| 171. C17 | #13457 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763206 | 2 |
| C2×#11762632 | 2 |
| C2×#11762631 | 2 |
| #14529533 | 2 |
| #14526889 | 2 |
| #14526865 | 2 |
| C17×#1386 | 2 |
| #13457 | 17 |