Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
450 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 90 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. C2×#11763728 | C2 | semidirect |
| 3. #14545094 | C2 | semidirect |
| 5. #14543864 | C2 | semidirect |
| 6. #14543853 | C2 | semidirect |
| 25. #11763085 | C4 | semidirect |
| 26. #11763084 | C4 | semidirect |
| 29. #11763081 | C4 | semidirect |
| 32. C17×#473 | C4 | semidirect |
| 233. #473 | #595 | semidirect |
| 303. C17 | #13069 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545752 | 2 |
| C2×#11763728 | 2 |
| #14545094 | 2 |
| #14544670 | 2 |
| #14543864 | 2 |
| #14543853 | 2 |
| D17×#473 | 2 |
| #13069 | 17 |