Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
358 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 31. C2×Q16×C17 | Q8 | semidirect |
| 182. C2×Q16 | Dic34 | semidirect |
| 214. C17 | #13370 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539320 | 2 |
| #14530504 | 2 |
| #14529700 | 2 |
| #14526892 | 2 |
| #14526880 | 2 |
| #14526872 | 2 |
| C2×C17×#358 | 2 |
| #13370 | 17 |