Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
170 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 49 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 |
|---|---|---|
| 2. #14530577 | C2 | semidirect |
| 3. #14526989 | C2 | semidirect |
| 4. #14526975 | C2 | semidirect |
| 5. #14526973 | C2 | semidirect |
| 6. #14526923 | C2 | semidirect |
| 7. C17×#1426 | C2 | semidirect |
| 73. #1426 | D17 | semidirect |
| 119. C17 | #13717 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530888 | 2 |
| #14530577 | 2 |
| #14526989 | 2 |
| #14526975 | 2 |
| #14526973 | 2 |
| #14526923 | 2 |
| C17×#1426 | 2 |
| #13717 | 17 |