Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
288 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 288 conjugacy classes of subgroups — too many to draw. Only its 67 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. #14531013 | C2 | semidirect |
| 4. #14526832 | C2 | semidirect |
| 5. Q8⋊#63214 | C2 | semidirect |
| 7. C17×#1676 | C2 | semidirect |
| 110. #1676 | D17 | semidirect |
| 176. C17 | #12387 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14541773 | 2 |
| #14531013 | 2 |
| #14530928 | 2 |
| #14526832 | 2 |
| Q8⋊#63214 | 2 |
| #14526744 | 2 |
| C17×#1676 | 2 |
| #12387 | 17 |