Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
188 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 188 conjugacy classes of subgroups — too many to draw. Only its 53 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. #14531077 | C2 | semidirect |
| 3. #14530905 | C2 | semidirect |
| 4. #14526973 | C2 | semidirect |
| 5. C17×#1425 | C2 | semidirect |
| 61. #1425 | D17 | semidirect |
| 99. C17 | #13700 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D544 | 2 |
| #14531077 | 2 |
| #14530905 | 2 |
| #14526973 | 2 |
| C17×#1425 | 2 |
| #13700 | 17 |