Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
238 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 238 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×#11762649 | C2 | semidirect |
| 2. C2×#11762647 | C2 | semidirect |
| 3. C2×#11762646 | C2 | semidirect |
| 5. #14531045 | C2 | semidirect |
| 6. C4×#10587465 | C2 | semidirect |
| 7. C17×#2249 | C2 | semidirect |
| 91. #2249 | D17 | semidirect |
| 145. C17 | #13728 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762649 | 2 |
| C2×#11762647 | 2 |
| C2×#11762646 | 2 |
| C2×#11762644 | 2 |
| #14531045 | 2 |
| C4×#10587465 | 2 |
| C17×#2249 | 2 |
| #13728 | 17 |