Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
418 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 76 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. #14544963 | C2 | semidirect |
| 3. #14544318 | C2 | semidirect |
| 5. #14543648 | C2 | semidirect |
| 6. #14543634 | C2 | semidirect |
| 26. #11763218 | C4 | semidirect |
| 27. #11763215 | C4 | semidirect |
| 28. #11763168 | C4 | semidirect |
| 34. C17×#489 | C4 | semidirect |
| 211. #489 | #595 | semidirect |
| 292. C17 | #9375 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545721 | 2 |
| #14544963 | 2 |
| #14544318 | 2 |
| #14544185 | 2 |
| #14543648 | 2 |
| #14543634 | 2 |
| #14540001 | 2 |
| #9375 | 17 |