Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
252 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 252 conjugacy classes of subgroups — too many to draw. Only its 71 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×#11762647 | C2 | semidirect |
| 2. C2×#11762644 | C2 | semidirect |
| 3. #14531045 | C2 | semidirect |
| 4. #14526918 | C2 | semidirect |
| 5. C17×#2246 | C2 | semidirect |
| 33. #10587465 | D4 | semidirect |
| 71. #2246 | D17 | semidirect |
| 114. C17 | #13729 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762647 | 2 |
| C2×#11762644 | 2 |
| #14531045 | 2 |
| #14526918 | 2 |
| C17×#2246 | 2 |
| #13729 | 17 |