Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
294 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 63 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. #14541754 | C2 | semidirect |
| 5. #14526765 | C2 | semidirect |
| 6. #14526753 | C2 | semidirect |
| 7. C17×#1363 | C2 | semidirect |
| 90. Dic68 | SD16 | semidirect |
| 126. #1363 | D17 | semidirect |
| 200. C17 | #12361 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14541754 | 2 |
| #14531027 | 2 |
| #14530825 | 2 |
| #14528269 | 2 |
| #14526765 | 2 |
| #14526753 | 2 |
| C17×#1363 | 2 |
| #12361 | 17 |