Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
826 conjugacy classes of subgroups; only the 219 normal subgroups are shown.
This group has 826 conjugacy classes of subgroups — too many to draw. Only its 219 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. C2×#11763241 | C2 | semidirect |
| 2. #14539212 | C2 | semidirect |
| 3. #14531055 | C2 | semidirect |
| 4. #14531050 | C2 | semidirect |
| 5. C2×C17×#346 | C2 | semidirect |
| 38. C2×C16×C17 | D4 | semidirect |
| 94. C2×#346 | D17 | semidirect |
| 144. C2×C16 | D68 | semidirect |
| 148. C17 | #33716 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763241 | 2 |
| #14539212 | 2 |
| #14531055 | 2 |
| #14531050 | 2 |
| C2×C17×#346 | 2 |
| #33716 | 17 |