Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
500 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 500 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. #14544960 | C2 | semidirect |
| 4. #14544093 | C2 | semidirect |
| 5. #14543619 | C2 | semidirect |
| 6. #14543616 | C2 | semidirect |
| 24. #11763205 | C4 | semidirect |
| 25. #11763181 | C4 | semidirect |
| 26. #11763160 | C4 | semidirect |
| 30. C17×#486 | C4 | semidirect |
| 106. #63243 | SD16 | semidirect |
| 206. #486 | #595 | semidirect |
| 274. C17 | #9055 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545527 | 2 |
| #14544960 | 2 |
| #14544164 | 2 |
| #14544093 | 2 |
| #14543619 | 2 |
| #14543616 | 2 |
| #14539342 | 2 |
| #9055 | 17 |