Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
910 conjugacy classes of subgroups; only the 363 normal subgroups are shown.
This group has 910 conjugacy classes of subgroups — too many to draw. Only its 363 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 |
|---|---|---|
| 43. C17×#97 | Q8 | semidirect |
| 95. C8×C17 | C4⋊Q8 | semidirect |
| 155. #97 | Dic34 | semidirect |
| 158. C17 | #33314 | semidirect |
| 205. C8 | #10587555 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763214 | 2 |
| C2×#11763207 | 2 |
| #14537182 | 2 |
| #14537162 | 2 |
| #14528952 | 2 |
| C4×C17×#97 | 2 |
| #33314 | 17 |