Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
528 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 131 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. #14541796 | C2 | semidirect |
| 2. #14531047 | C2 | semidirect |
| 3. #14531045 | C2 | semidirect |
| 4. #14530845 | C2 | semidirect |
| 5. #14530839 | C2 | semidirect |
| 6. #14530818 | C2 | semidirect |
| 7. #14530692 | C2 | semidirect |
| 8. #14530647 | C2 | semidirect |
| 9. C4×C17×D16 | C2 | semidirect |
| 138. C4×D16 | D17 | semidirect |
| 218. C17 | #33970 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14541796 | 2 |
| #14531047 | 2 |
| #14531045 | 2 |
| #14530845 | 2 |
| #14530839 | 2 |
| #14530818 | 2 |
| #14530692 | 2 |
| #14530647 | 2 |
| C4×C17×D16 | 2 |
| #33970 | 17 |