Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
376 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 80 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. C4⋊C8×#595 | C2 | semidirect |
| 3. #14544354 | C2 | semidirect |
| 5. #14543676 | C2 | semidirect |
| 6. #14543611 | C2 | semidirect |
| 23. #11762555 | C4 | semidirect |
| 24. #11762552 | C4 | semidirect |
| 25. #11762552 | C4 | semidirect |
| 26. C17×#332 | C4 | semidirect |
| 188. #332 | #595 | semidirect |
| 233. C17 | #9577 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544917 | 2 |
| C4⋊C8×#595 | 2 |
| #14544354 | 2 |
| #14544091 | 2 |
| #14543676 | 2 |
| #14543611 | 2 |
| #14527432 | 2 |
| #9577 | 17 |