Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
316 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 316 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 |
|---|---|---|
| 2. #14530982 | C2 | semidirect |
| 4. #14530272 | C2 | semidirect |
| 5. #14526797 | C2 | semidirect |
| 7. C17×#1322 | C2 | semidirect |
| 135. #1322 | D17 | semidirect |
| 212. C17 | #12290 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14540136 | 2 |
| #14530982 | 2 |
| #14530965 | 2 |
| #14530272 | 2 |
| #14526797 | 2 |
| #14526794 | 2 |
| C17×#1322 | 2 |
| #12290 | 17 |