Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
194 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 194 conjugacy classes of subgroups — too many to draw. Only its 57 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. #14531061 | C2 | semidirect |
| 3. #14526963 | C2 | semidirect |
| 4. #14526962 | C2 | semidirect |
| 5. #14526961 | C2 | semidirect |
| 6. #14526917 | C2 | semidirect |
| 7. C17×#1415 | C2 | semidirect |
| 78. #1415 | D17 | semidirect |
| 127. C17 | #13723 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14531061 | 2 |
| #14531032 | 2 |
| #14526963 | 2 |
| #14526962 | 2 |
| #14526961 | 2 |
| #14526917 | 2 |
| C17×#1415 | 2 |
| #13723 | 17 |