Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
342 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 59 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. #14530720 | C2 | semidirect |
| 4. #14530052 | C2 | semidirect |
| 5. #14526803 | C2 | semidirect |
| 7. C17×#1323 | C2 | semidirect |
| 145. #1323 | D17 | semidirect |
| 223. C17 | #12169 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14540245 | 2 |
| #14530720 | 2 |
| #14530703 | 2 |
| #14530052 | 2 |
| #14526803 | 2 |
| #14526800 | 2 |
| C17×#1323 | 2 |
| #12169 | 17 |