Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
454 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 94 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 |
|---|---|---|
| 3. #14544896 | C2 | semidirect |
| 4. #14544581 | C2 | semidirect |
| 5. #14543663 | C2 | semidirect |
| 6. #14543613 | C2 | semidirect |
| 23. #11762553 | C4 | semidirect |
| 24. #11762552 | C4 | semidirect |
| 25. #11762552 | C4 | semidirect |
| 26. C17×#331 | C4 | semidirect |
| 234. #331 | #595 | semidirect |
| 281. C17 | #9572 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544951 | 2 |
| #14544912 | 2 |
| #14544896 | 2 |
| #14544581 | 2 |
| #14543663 | 2 |
| #14543613 | 2 |
| D17×#331 | 2 |
| #9572 | 17 |