Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1214 conjugacy classes of subgroups; only the 187 normal subgroups are shown.
This group has 1214 conjugacy classes of subgroups — too many to draw. Only its 187 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. #14538715 | C2 | semidirect |
| 3. #14530001 | C2 | semidirect |
| 4. #14529232 | C2 | semidirect |
| 5. #14528998 | C2 | semidirect |
| 6. #14528742 | C2 | semidirect |
| 7. #14528708 | C2 | semidirect |
| 8. C17×#2310 | C2 | semidirect |
| 182. #2310 | D17 | semidirect |
| 288. C17 | #24023 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14542435 | 2 |
| #14538715 | 2 |
| #14530001 | 2 |
| #14529232 | 2 |
| #14528998 | 2 |
| #14528742 | 2 |
| #14528708 | 2 |
| C17×#2310 | 2 |
| #24023 | 17 |