Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
214 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 214 conjugacy classes of subgroups — too many to draw. Only its 67 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×D544 | C2 | semidirect |
| 2. #14530870 | C2 | semidirect |
| 3. #14526984 | C2 | semidirect |
| 4. #14526963 | C2 | semidirect |
| 5. C22×C17×C32 | C2 | semidirect |
| 27. C17×C32 | D4 | semidirect |
| 57. C22×C32 | D17 | semidirect |
| 63. C22×C17 | D32 | semidirect |
| 98. C32 | C22⋊D17 | semidirect |
| 99. C17 | #13694 | semidirect |
| 132. C22 | D544 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D544 | 2 |
| #14530870 | 2 |
| #14526984 | 2 |
| #14526963 | 2 |
| C22×C17×C32 | 2 |
| #13694 | 17 |